%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO006+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:23:02 AM UTC 2025
% Result : Theorem 3.32s 3.49s
% Output : Proof 3.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO006+2 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 02:30:20 EDT 2025
% 0.11/0.33 % CPUTime :
% 3.32/3.49 % SZS status Theorem
% 3.32/3.49 % SZS output start Proof
% 3.32/3.49 tff(min_precedes_type, type, (
% 3.32/3.49 min_precedes: ( $i * $i * $i ) > $o)).
% 3.32/3.49 tff(tptp0_type, type, (
% 3.32/3.49 tptp0: $i)).
% 3.32/3.49 tff(tptp_fun_X97_14_type, type, (
% 3.32/3.49 tptp_fun_X97_14: $i > $i)).
% 3.32/3.49 tff(tptp_fun_X73_8_type, type, (
% 3.32/3.49 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 3.32/3.49 tff(tptp_fun_X93_13_type, type, (
% 3.32/3.49 tptp_fun_X93_13: ( $i * $i ) > $i)).
% 3.32/3.49 tff(tptp_fun_X96_15_type, type, (
% 3.32/3.49 tptp_fun_X96_15: $i > $i)).
% 3.32/3.49 tff(tptp_fun_X101_17_type, type, (
% 3.32/3.49 tptp_fun_X101_17: $i)).
% 3.32/3.49 tff(tptp_fun_X100_16_type, type, (
% 3.32/3.49 tptp_fun_X100_16: $i > $i)).
% 3.32/3.49 tff(root_occ_type, type, (
% 3.32/3.49 root_occ: ( $i * $i ) > $o)).
% 3.32/3.49 tff(next_subocc_type, type, (
% 3.32/3.49 next_subocc: ( $i * $i * $i ) > $o)).
% 3.32/3.49 tff(leaf_occ_type, type, (
% 3.32/3.49 leaf_occ: ( $i * $i ) > $o)).
% 3.32/3.49 tff(occurrence_of_type, type, (
% 3.32/3.49 occurrence_of: ( $i * $i ) > $o)).
% 3.32/3.49 tff(tptp4_type, type, (
% 3.32/3.49 tptp4: $i)).
% 3.32/3.49 tff(tptp3_type, type, (
% 3.32/3.49 tptp3: $i)).
% 3.32/3.49 tff(subactivity_occurrence_type, type, (
% 3.32/3.49 subactivity_occurrence: ( $i * $i ) > $o)).
% 3.32/3.49 tff(root_type, type, (
% 3.32/3.49 root: ( $i * $i ) > $o)).
% 3.32/3.49 tff(tptp_fun_X34_1_type, type, (
% 3.32/3.49 tptp_fun_X34_1: ( $i * $i ) > $i)).
% 3.32/3.49 tff(tptp_fun_X53_6_type, type, (
% 3.32/3.49 tptp_fun_X53_6: $i > $i)).
% 3.32/3.49 tff(activity_type, type, (
% 3.32/3.49 activity: $i > $o)).
% 3.32/3.49 tff(activity_occurrence_type, type, (
% 3.32/3.49 activity_occurrence: $i > $o)).
% 3.32/3.49 tff(tptp_fun_X18_0_type, type, (
% 3.32/3.49 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 3.32/3.49 tff(atomic_type, type, (
% 3.32/3.49 atomic: $i > $o)).
% 3.32/3.49 tff(tptp1_type, type, (
% 3.32/3.49 tptp1: $i)).
% 3.32/3.49 tff(tptp_fun_X44_3_type, type, (
% 3.32/3.49 tptp_fun_X44_3: ( $i * $i ) > $i)).
% 3.32/3.49 tff(leaf_type, type, (
% 3.32/3.49 leaf: ( $i * $i ) > $o)).
% 3.32/3.49 tff(tptp_fun_X45_4_type, type, (
% 3.32/3.49 tptp_fun_X45_4: ( $i * $i ) > $i)).
% 3.32/3.49 tff(tptp_fun_X37_2_type, type, (
% 3.32/3.49 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 3.32/3.49 tff(arboreal_type, type, (
% 3.32/3.49 arboreal: $i > $o)).
% 3.32/3.49 tff(legal_type, type, (
% 3.32/3.49 legal: $i > $o)).
% 3.32/3.49 tff(1,plain,
% 3.32/3.49 (?[X101: $i] : occurrence_of(X101, tptp0) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(2,plain,
% 3.32/3.49 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(3,plain,
% 3.32/3.49 ((~?[X101: $i] : occurrence_of(X101, tptp0)) <=> (~?[X101: $i] : occurrence_of(X101, tptp0))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(4,plain,
% 3.32/3.49 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> (~(~?[X101: $i] : occurrence_of(X101, tptp0)))),
% 3.32/3.49 inference(monotonicity,[status(thm)],[3])).
% 3.32/3.49 tff(5,plain,
% 3.32/3.49 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 3.32/3.49 inference(transitivity,[status(thm)],[4, 2])).
% 3.32/3.49 tff(6,axiom,(~(~?[X101: $i] : occurrence_of(X101, tptp0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 3.32/3.49 tff(7,plain,
% 3.32/3.49 (?[X101: $i] : occurrence_of(X101, tptp0)),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[6, 5])).
% 3.32/3.49 tff(8,plain,
% 3.32/3.49 (?[X101: $i] : occurrence_of(X101, tptp0)),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[7, 1])).
% 3.32/3.49 tff(9,plain,(
% 3.32/3.49 occurrence_of(X101!17, tptp0)),
% 3.32/3.49 inference(skolemize,[status(sab)],[8])).
% 3.32/3.49 tff(10,plain,
% 3.32/3.49 (^[X89: $i, X90: $i] : refl(((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(11,plain,
% 3.32/3.49 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[10])).
% 3.32/3.49 tff(12,plain,
% 3.32/3.49 (^[X89: $i, X90: $i] : rewrite(((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(13,plain,
% 3.32/3.49 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[12])).
% 3.32/3.49 tff(14,plain,
% 3.32/3.49 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(15,plain,
% 3.32/3.49 (^[X89: $i, X90: $i] : rewrite((occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(16,plain,
% 3.32/3.49 (![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[15])).
% 3.32/3.49 tff(17,axiom,(![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_29')).
% 3.32/3.49 tff(18,plain,
% 3.32/3.49 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[17, 16])).
% 3.32/3.49 tff(19,plain,
% 3.32/3.49 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[18, 14])).
% 3.32/3.49 tff(20,plain,(
% 3.32/3.49 ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.32/3.49 inference(skolemize,[status(sab)],[19])).
% 3.32/3.49 tff(21,plain,
% 3.32/3.49 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[20, 13])).
% 3.32/3.49 tff(22,plain,
% 3.32/3.49 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[21, 11])).
% 3.32/3.49 tff(23,plain,
% 3.32/3.49 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(24,plain,
% 3.32/3.49 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))),
% 3.32/3.49 inference(quant_inst,[status(thm)],[])).
% 3.32/3.49 tff(25,plain,
% 3.32/3.49 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[24, 23])).
% 3.32/3.49 tff(26,plain,
% 3.32/3.49 (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))),
% 3.32/3.49 inference(unit_resolution,[status(thm)],[25, 22, 9])).
% 3.32/3.49 tff(27,plain,
% 3.32/3.49 (((~activity(tptp0)) | (~activity_occurrence(X101!17))) | activity_occurrence(X101!17)),
% 3.32/3.49 inference(tautology,[status(thm)],[])).
% 3.32/3.49 tff(28,plain,
% 3.32/3.49 (activity_occurrence(X101!17)),
% 3.32/3.49 inference(unit_resolution,[status(thm)],[27, 26])).
% 3.32/3.49 tff(29,plain,
% 3.32/3.49 (^[X52: $i] : refl(((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))) <=> ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(30,plain,
% 3.32/3.49 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[29])).
% 3.32/3.49 tff(31,plain,
% 3.32/3.49 (^[X52: $i] : rewrite(((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52)))) <=> ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(32,plain,
% 3.32/3.49 (![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52)))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[31])).
% 3.32/3.49 tff(33,plain,
% 3.32/3.49 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(34,plain,
% 3.32/3.49 (^[X52: $i] : rewrite((activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(35,plain,
% 3.32/3.49 (![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[34])).
% 3.32/3.49 tff(36,axiom,(![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_18')).
% 3.32/3.49 tff(37,plain,
% 3.32/3.49 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[36, 35])).
% 3.32/3.49 tff(38,plain,
% 3.32/3.49 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[37, 33])).
% 3.32/3.49 tff(39,plain,(
% 3.32/3.49 ![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52))))),
% 3.32/3.49 inference(skolemize,[status(sab)],[38])).
% 3.32/3.49 tff(40,plain,
% 3.32/3.49 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[39, 32])).
% 3.32/3.49 tff(41,plain,
% 3.32/3.49 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[40, 30])).
% 3.32/3.49 tff(42,plain,
% 3.32/3.49 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X101!17)) | (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X101!17)) | (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(43,plain,
% 3.32/3.49 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X101!17)) | (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))))),
% 3.32/3.49 inference(quant_inst,[status(thm)],[])).
% 3.32/3.49 tff(44,plain,
% 3.32/3.49 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X101!17)) | (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[43, 42])).
% 3.32/3.49 tff(45,plain,
% 3.32/3.49 (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 3.32/3.49 inference(unit_resolution,[status(thm)],[44, 41, 28])).
% 3.32/3.49 tff(46,plain,
% 3.32/3.49 (((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))) | occurrence_of(X101!17, tptp_fun_X53_6(X101!17))),
% 3.32/3.49 inference(tautology,[status(thm)],[])).
% 3.32/3.49 tff(47,plain,
% 3.32/3.49 (occurrence_of(X101!17, tptp_fun_X53_6(X101!17))),
% 3.32/3.49 inference(unit_resolution,[status(thm)],[46, 45])).
% 3.32/3.49 tff(48,plain,
% 3.32/3.49 (^[X32: $i, X33: $i] : refl((~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(49,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[48])).
% 3.32/3.49 tff(50,plain,
% 3.32/3.49 (^[X32: $i, X33: $i] : rewrite((~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(51,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[50])).
% 3.32/3.49 tff(52,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.32/3.49 inference(transitivity,[status(thm)],[51, 49])).
% 3.32/3.49 tff(53,plain,
% 3.32/3.49 (^[X32: $i, X33: $i] : trans(monotonicity(rewrite(((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) <=> ((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))), rewrite((root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))) <=> (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))), ((((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> (((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32)))))) & (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))), rewrite((((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32)))))) & (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))), ((((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(54,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[53])).
% 3.32/3.49 tff(55,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))) <=> ![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(56,plain,
% 3.32/3.49 (^[X32: $i, X33: $i] : rewrite((root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34))) <=> (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(57,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34))) <=> ![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[56])).
% 3.32/3.49 tff(58,axiom,(![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_10')).
% 3.32/3.49 tff(59,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[58, 57])).
% 3.32/3.49 tff(60,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[59, 55])).
% 3.32/3.49 tff(61,plain,(
% 3.32/3.49 ![X32: $i, X33: $i] : (((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))))),
% 3.32/3.49 inference(skolemize,[status(sab)],[60])).
% 3.32/3.49 tff(62,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[61, 54])).
% 3.32/3.49 tff(63,plain,
% 3.32/3.49 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[62, 52])).
% 3.32/3.49 tff(64,plain,
% 3.32/3.49 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))) | (~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))) | (~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))))))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(65,plain,
% 3.32/3.49 ((~((~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))))) <=> (~((~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))) | (~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))))))))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(66,plain,
% 3.32/3.49 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))) | (~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))))))),
% 3.32/3.49 inference(monotonicity,[status(thm)],[65])).
% 3.32/3.49 tff(67,plain,
% 3.32/3.49 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))) | (~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))))))),
% 3.32/3.49 inference(transitivity,[status(thm)],[66, 64])).
% 3.32/3.49 tff(68,plain,
% 3.32/3.49 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34)))))))),
% 3.32/3.49 inference(quant_inst,[status(thm)],[])).
% 3.32/3.49 tff(69,plain,
% 3.32/3.49 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))) | (~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))))))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[68, 67])).
% 3.32/3.49 tff(70,plain,
% 3.32/3.49 (~((~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))) | (~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))))),
% 3.32/3.49 inference(unit_resolution,[status(thm)],[69, 63])).
% 3.32/3.49 tff(71,plain,
% 3.32/3.49 (((~(root_occ(tptp_fun_X96_15(X101!17), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~root(tptp_fun_X96_15(X101!17), X34))))) | (~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))))))) | ((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))),
% 3.32/3.49 inference(tautology,[status(thm)],[])).
% 3.32/3.49 tff(72,plain,
% 3.32/3.49 ((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))))),
% 3.32/3.49 inference(unit_resolution,[status(thm)],[71, 70])).
% 3.32/3.49 tff(73,plain,
% 3.32/3.49 (^[X95: $i] : refl(((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))) <=> ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(74,plain,
% 3.32/3.49 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[73])).
% 3.32/3.49 tff(75,plain,
% 3.32/3.49 (^[X95: $i] : rewrite(((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & occurrence_of(tptp_fun_X97_14(X95), tptp3) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))) <=> ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(76,plain,
% 3.32/3.49 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & occurrence_of(tptp_fun_X97_14(X95), tptp3) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[75])).
% 3.32/3.49 tff(77,plain,
% 3.32/3.49 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.32/3.49 inference(rewrite,[status(thm)],[])).
% 3.32/3.49 tff(78,plain,
% 3.32/3.49 (^[X95: $i] : trans(monotonicity(quant_intro(proof_bind(^[X96: $i, X97: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95)))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))))), (?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))), ((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))))), rewrite((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))) <=> ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))), ((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))))),
% 3.32/3.49 inference(bind,[status(th)],[])).
% 3.32/3.49 tff(79,plain,
% 3.32/3.49 (![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.32/3.49 inference(quant_intro,[status(thm)],[78])).
% 3.32/3.49 tff(80,axiom,(![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_32')).
% 3.32/3.49 tff(81,plain,
% 3.32/3.49 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[80, 79])).
% 3.32/3.49 tff(82,plain,
% 3.32/3.49 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[81, 77])).
% 3.32/3.49 tff(83,plain,(
% 3.32/3.49 ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & occurrence_of(tptp_fun_X97_14(X95), tptp3) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))),
% 3.32/3.49 inference(skolemize,[status(sab)],[82])).
% 3.32/3.49 tff(84,plain,
% 3.32/3.49 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[83, 76])).
% 3.32/3.49 tff(85,plain,
% 3.32/3.49 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.32/3.49 inference(modus_ponens,[status(thm)],[84, 74])).
% 3.32/3.49 tff(86,plain,
% 3.32/3.49 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))))),
% 3.32/3.50 inference(rewrite,[status(thm)],[])).
% 3.32/3.50 tff(87,plain,
% 3.32/3.50 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))))),
% 3.32/3.50 inference(quant_inst,[status(thm)],[])).
% 3.32/3.50 tff(88,plain,
% 3.32/3.50 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[87, 86])).
% 3.32/3.50 tff(89,plain,
% 3.32/3.50 (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[88, 85, 9])).
% 3.32/3.50 tff(90,plain,
% 3.32/3.50 (((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))) | root_occ(tptp_fun_X96_15(X101!17), X101!17)),
% 3.32/3.50 inference(tautology,[status(thm)],[])).
% 3.32/3.50 tff(91,plain,
% 3.32/3.50 (root_occ(tptp_fun_X96_15(X101!17), X101!17)),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[90, 89])).
% 3.32/3.50 tff(92,plain,
% 3.32/3.50 ((~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))))),
% 3.32/3.50 inference(tautology,[status(thm)],[])).
% 3.32/3.50 tff(93,plain,
% 3.32/3.50 ((~((~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[92, 91])).
% 3.32/3.50 tff(94,plain,
% 3.32/3.50 (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[93, 72])).
% 3.32/3.50 tff(95,plain,
% 3.32/3.50 (((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))) | occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))),
% 3.32/3.50 inference(tautology,[status(thm)],[])).
% 3.32/3.50 tff(96,plain,
% 3.32/3.50 (occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[95, 94])).
% 3.32/3.50 tff(97,plain,
% 3.32/3.50 (^[X64: $i, X65: $i, X66: $i] : refl(((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(98,plain,
% 3.32/3.50 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) <=> ![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[97])).
% 3.32/3.50 tff(99,plain,
% 3.32/3.50 (^[X64: $i, X65: $i, X66: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X64, X65) & occurrence_of(X64, X66)) <=> (~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))), ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) <=> (~(~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))))), rewrite((~(~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))) <=> ((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))), ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) <=> ((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))), (((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> (((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) | (X65 = X66)))), rewrite((((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) | (X65 = X66)) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))), (((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(100,plain,
% 3.32/3.50 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[99])).
% 3.32/3.50 tff(101,plain,
% 3.32/3.50 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.32/3.50 inference(rewrite,[status(thm)],[])).
% 3.32/3.50 tff(102,plain,
% 3.32/3.50 (^[X64: $i, X65: $i, X66: $i] : rewrite(((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66)) <=> ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(103,plain,
% 3.32/3.50 (![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[102])).
% 3.32/3.50 tff(104,axiom,(![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_22')).
% 3.32/3.50 tff(105,plain,
% 3.32/3.50 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[104, 103])).
% 3.32/3.50 tff(106,plain,
% 3.32/3.50 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[105, 101])).
% 3.32/3.50 tff(107,plain,(
% 3.32/3.50 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.32/3.50 inference(skolemize,[status(sab)],[106])).
% 3.32/3.50 tff(108,plain,
% 3.32/3.50 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[107, 100])).
% 3.32/3.50 tff(109,plain,
% 3.32/3.50 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[108, 98])).
% 3.32/3.50 tff(110,plain,
% 3.32/3.50 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))),
% 3.32/3.50 inference(rewrite,[status(thm)],[])).
% 3.32/3.50 tff(111,plain,
% 3.32/3.50 (((tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))) <=> ((~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))),
% 3.32/3.50 inference(rewrite,[status(thm)],[])).
% 3.32/3.50 tff(112,plain,
% 3.32/3.50 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))))),
% 3.32/3.50 inference(monotonicity,[status(thm)],[111])).
% 3.32/3.50 tff(113,plain,
% 3.32/3.50 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))),
% 3.32/3.50 inference(transitivity,[status(thm)],[112, 110])).
% 3.32/3.50 tff(114,plain,
% 3.32/3.50 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 3.32/3.50 inference(quant_inst,[status(thm)],[])).
% 3.32/3.50 tff(115,plain,
% 3.32/3.50 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[114, 113])).
% 3.32/3.50 tff(116,plain,
% 3.32/3.50 (tptp_fun_X53_6(X101!17) = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[115, 109, 96, 47])).
% 3.32/3.50 tff(117,plain,
% 3.32/3.50 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0))),
% 3.32/3.50 inference(rewrite,[status(thm)],[])).
% 3.32/3.50 tff(118,plain,
% 3.32/3.50 (((tptp_fun_X53_6(X101!17) = tptp0) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))) <=> ((~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0))),
% 3.32/3.50 inference(rewrite,[status(thm)],[])).
% 3.32/3.50 tff(119,plain,
% 3.32/3.50 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp0) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0)))),
% 3.32/3.50 inference(monotonicity,[status(thm)],[118])).
% 3.32/3.50 tff(120,plain,
% 3.32/3.50 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp0) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0))),
% 3.32/3.50 inference(transitivity,[status(thm)],[119, 117])).
% 3.32/3.50 tff(121,plain,
% 3.32/3.50 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp0) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 3.32/3.50 inference(quant_inst,[status(thm)],[])).
% 3.32/3.50 tff(122,plain,
% 3.32/3.50 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0)),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[121, 120])).
% 3.32/3.50 tff(123,plain,
% 3.32/3.50 (tptp_fun_X53_6(X101!17) = tptp0),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[122, 109, 9, 47])).
% 3.32/3.50 tff(124,plain,
% 3.32/3.50 (tptp0 = tptp_fun_X53_6(X101!17)),
% 3.32/3.50 inference(symmetry,[status(thm)],[123])).
% 3.32/3.50 tff(125,plain,
% 3.32/3.50 (tptp0 = tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))),
% 3.32/3.50 inference(transitivity,[status(thm)],[124, 116])).
% 3.32/3.50 tff(126,plain,
% 3.32/3.50 (root(tptp_fun_X96_15(X101!17), tptp0) <=> root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))),
% 3.32/3.50 inference(monotonicity,[status(thm)],[125])).
% 3.32/3.50 tff(127,plain,
% 3.32/3.50 (root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))) <=> root(tptp_fun_X96_15(X101!17), tptp0)),
% 3.32/3.50 inference(symmetry,[status(thm)],[126])).
% 3.32/3.50 tff(128,plain,
% 3.32/3.50 (((~subactivity_occurrence(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17))))) | root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))),
% 3.32/3.50 inference(tautology,[status(thm)],[])).
% 3.32/3.50 tff(129,plain,
% 3.32/3.50 (root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(X101!17, tptp_fun_X96_15(X101!17)))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[128, 94])).
% 3.32/3.50 tff(130,plain,
% 3.32/3.50 (root(tptp_fun_X96_15(X101!17), tptp0)),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[129, 127])).
% 3.32/3.50 tff(131,assumption,(~root(tptp_fun_X96_15(X101!17), tptp0)), introduced(assumption)).
% 3.32/3.50 tff(132,plain,
% 3.32/3.50 ($false),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[131, 130])).
% 3.32/3.50 tff(133,plain,(root(tptp_fun_X96_15(X101!17), tptp0)), inference(lemma,lemma(discharge,[]))).
% 3.32/3.50 tff(134,assumption,(![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))), introduced(assumption)).
% 3.32/3.50 tff(135,plain,
% 3.32/3.50 (^[X15: $i, X16: $i, X17: $i] : rewrite((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(136,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[135])).
% 3.32/3.50 tff(137,plain,
% 3.32/3.50 (^[X15: $i, X16: $i, X17: $i] : refl((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(138,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[137])).
% 3.32/3.50 tff(139,plain,
% 3.32/3.50 (^[X15: $i, X16: $i, X17: $i] : rewrite((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(140,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[139])).
% 3.32/3.50 tff(141,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.32/3.50 inference(transitivity,[status(thm)],[140, 138])).
% 3.32/3.50 tff(142,plain,
% 3.32/3.50 (^[X15: $i, X16: $i, X17: $i] : trans(monotonicity(rewrite(((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) <=> ((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))), trans(monotonicity(rewrite((min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)) <=> (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))), ((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))), rewrite((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))), ((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))), ((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> (((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))), rewrite((((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))), ((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(143,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[142])).
% 3.32/3.50 tff(144,plain,
% 3.32/3.50 (^[X15: $i, X16: $i, X17: $i] : rewrite((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(145,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> ![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[144])).
% 3.32/3.50 tff(146,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) <=> ![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))),
% 3.32/3.50 inference(rewrite,[status(thm)],[])).
% 3.32/3.50 tff(147,axiom,(![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_04')).
% 3.32/3.50 tff(148,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[147, 146])).
% 3.32/3.50 tff(149,plain,(
% 3.32/3.50 ![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))),
% 3.32/3.50 inference(skolemize,[status(sab)],[148])).
% 3.32/3.50 tff(150,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[149, 145])).
% 3.32/3.50 tff(151,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[150, 143])).
% 3.32/3.50 tff(152,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[151, 141])).
% 3.32/3.50 tff(153,plain,
% 3.32/3.50 (![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[152, 136])).
% 3.32/3.50 tff(154,plain,
% 3.32/3.50 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp_fun_X97_14(X101!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))))))),
% 3.32/3.50 inference(quant_inst,[status(thm)],[])).
% 3.32/3.50 tff(155,plain,
% 3.32/3.50 (~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp_fun_X97_14(X101!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[154, 153])).
% 3.32/3.50 tff(156,plain,
% 3.32/3.50 (((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp_fun_X97_14(X101!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))),
% 3.32/3.50 inference(tautology,[status(thm)],[])).
% 3.32/3.50 tff(157,plain,
% 3.32/3.50 ((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[156, 155])).
% 3.32/3.50 tff(158,plain,
% 3.32/3.50 (((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))) | next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 3.32/3.50 inference(tautology,[status(thm)],[])).
% 3.32/3.50 tff(159,plain,
% 3.32/3.50 (next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[158, 89])).
% 3.32/3.50 tff(160,plain,
% 3.32/3.50 ((~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))),
% 3.32/3.50 inference(tautology,[status(thm)],[])).
% 3.32/3.50 tff(161,plain,
% 3.32/3.50 ((~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[160, 159])).
% 3.32/3.50 tff(162,plain,
% 3.32/3.50 (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[161, 157])).
% 3.32/3.50 tff(163,plain,
% 3.32/3.50 (((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 3.32/3.50 inference(tautology,[status(thm)],[])).
% 3.32/3.50 tff(164,plain,
% 3.32/3.50 (min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 3.32/3.50 inference(unit_resolution,[status(thm)],[163, 162])).
% 3.32/3.50 tff(165,plain,
% 3.32/3.50 (^[X70: $i, X71: $i, X72: $i] : refl(((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(166,plain,
% 3.32/3.50 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[165])).
% 3.32/3.50 tff(167,plain,
% 3.32/3.50 (^[X70: $i, X71: $i, X72: $i] : rewrite(((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(168,plain,
% 3.32/3.50 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[167])).
% 3.32/3.50 tff(169,plain,
% 3.32/3.50 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.32/3.50 inference(rewrite,[status(thm)],[])).
% 3.32/3.50 tff(170,plain,
% 3.32/3.50 (^[X70: $i, X71: $i, X72: $i] : trans(monotonicity(quant_intro(proof_bind(^[X73: $i] : rewrite(((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)) <=> (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), (?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)) <=> ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), ((min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> (min_precedes(X71, X72, X70) => ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))))), rewrite((min_precedes(X71, X72, X70) => ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))) <=> ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), ((min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))))),
% 3.32/3.50 inference(bind,[status(th)],[])).
% 3.32/3.50 tff(171,plain,
% 3.32/3.50 (![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.32/3.50 inference(quant_intro,[status(thm)],[170])).
% 3.32/3.50 tff(172,axiom,(![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_24')).
% 3.32/3.50 tff(173,plain,
% 3.32/3.50 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[172, 171])).
% 3.32/3.50 tff(174,plain,
% 3.32/3.50 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[173, 169])).
% 3.32/3.50 tff(175,plain,(
% 3.32/3.50 ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))),
% 3.32/3.50 inference(skolemize,[status(sab)],[174])).
% 3.32/3.50 tff(176,plain,
% 3.32/3.50 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[175, 168])).
% 3.32/3.50 tff(177,plain,
% 3.32/3.50 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.32/3.50 inference(modus_ponens,[status(thm)],[176, 166])).
% 3.32/3.50 tff(178,plain,
% 3.32/3.50 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 3.32/3.51 inference(rewrite,[status(thm)],[])).
% 3.32/3.51 tff(179,plain,
% 3.32/3.51 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 3.32/3.51 inference(quant_inst,[status(thm)],[])).
% 3.32/3.51 tff(180,plain,
% 3.32/3.51 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.51 inference(modus_ponens,[status(thm)],[179, 178])).
% 3.32/3.51 tff(181,plain,
% 3.32/3.51 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[180, 177, 164])).
% 3.32/3.51 tff(182,plain,
% 3.32/3.51 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.51 inference(tautology,[status(thm)],[])).
% 3.32/3.51 tff(183,plain,
% 3.32/3.51 (subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[182, 181])).
% 3.32/3.51 tff(184,plain,
% 3.32/3.51 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 3.32/3.51 inference(tautology,[status(thm)],[])).
% 3.32/3.51 tff(185,plain,
% 3.32/3.51 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[184, 181])).
% 3.32/3.51 tff(186,plain,
% 3.32/3.51 (((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.51 inference(rewrite,[status(thm)],[])).
% 3.32/3.51 tff(187,plain,
% 3.32/3.51 (((~root(tptp_fun_X96_15(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.51 inference(rewrite,[status(thm)],[])).
% 3.32/3.51 tff(188,plain,
% 3.32/3.51 (((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~root(tptp_fun_X96_15(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.51 inference(monotonicity,[status(thm)],[187])).
% 3.32/3.51 tff(189,plain,
% 3.32/3.51 (((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~root(tptp_fun_X96_15(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.51 inference(transitivity,[status(thm)],[188, 186])).
% 3.32/3.51 tff(190,plain,
% 3.32/3.51 ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~root(tptp_fun_X96_15(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 3.32/3.51 inference(quant_inst,[status(thm)],[])).
% 3.32/3.51 tff(191,plain,
% 3.32/3.51 ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.51 inference(modus_ponens,[status(thm)],[190, 189])).
% 3.32/3.51 tff(192,plain,
% 3.32/3.51 ($false),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[191, 185, 183, 134, 133])).
% 3.32/3.51 tff(193,plain,(~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 3.32/3.51 tff(194,plain,
% 3.32/3.51 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34))))))))),
% 3.32/3.51 inference(rewrite,[status(thm)],[])).
% 3.32/3.51 tff(195,plain,
% 3.32/3.51 ((~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), X34))))))) <=> (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))))))),
% 3.32/3.51 inference(rewrite,[status(thm)],[])).
% 3.32/3.51 tff(196,plain,
% 3.32/3.51 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34))))))))),
% 3.32/3.51 inference(monotonicity,[status(thm)],[195])).
% 3.32/3.51 tff(197,plain,
% 3.32/3.51 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34))))))))),
% 3.32/3.51 inference(transitivity,[status(thm)],[196, 194])).
% 3.32/3.51 tff(198,plain,
% 3.32/3.51 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), X34)))))))),
% 3.32/3.51 inference(quant_inst,[status(thm)],[])).
% 3.32/3.51 tff(199,plain,
% 3.32/3.51 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))))))),
% 3.32/3.51 inference(modus_ponens,[status(thm)],[198, 197])).
% 3.32/3.51 tff(200,plain,
% 3.32/3.51 (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34))))))),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[199, 63])).
% 3.32/3.51 tff(201,plain,
% 3.32/3.51 (((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))))) | (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34))))),
% 3.32/3.51 inference(tautology,[status(thm)],[])).
% 3.32/3.51 tff(202,plain,
% 3.32/3.51 (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[201, 200])).
% 3.32/3.51 tff(203,plain,
% 3.32/3.51 ((~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34))))) | root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))),
% 3.32/3.51 inference(tautology,[status(thm)],[])).
% 3.32/3.51 tff(204,plain,
% 3.32/3.51 (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)))),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[203, 202])).
% 3.32/3.51 tff(205,plain,
% 3.32/3.51 (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[204, 193])).
% 3.32/3.51 tff(206,plain,
% 3.32/3.51 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.32/3.51 inference(rewrite,[status(thm)],[])).
% 3.32/3.51 tff(207,plain,
% 3.32/3.51 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.32/3.51 inference(quant_inst,[status(thm)],[])).
% 3.32/3.51 tff(208,plain,
% 3.32/3.51 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.32/3.51 inference(modus_ponens,[status(thm)],[207, 206])).
% 3.32/3.51 tff(209,plain,
% 3.32/3.51 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[208, 85, 185])).
% 3.32/3.51 tff(210,plain,
% 3.32/3.51 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.51 inference(tautology,[status(thm)],[])).
% 3.32/3.51 tff(211,plain,
% 3.32/3.51 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.51 inference(unit_resolution,[status(thm)],[210, 209])).
% 3.32/3.51 tff(212,plain,
% 3.32/3.51 (^[X7: $i, X8: $i, X9: $i, X10: $i] : refl(((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))),
% 3.32/3.51 inference(bind,[status(th)],[])).
% 3.32/3.51 tff(213,plain,
% 3.32/3.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.32/3.51 inference(quant_intro,[status(thm)],[212])).
% 3.32/3.51 tff(214,plain,
% 3.32/3.51 (^[X7: $i, X8: $i, X9: $i, X10: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) <=> (~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))), ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) <=> (~(~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))))), rewrite((~(~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))) <=> ((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))), ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) <=> ((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))), (((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> (((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) | (X7 = X8)))), rewrite((((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) | (X7 = X8)) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))), (((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))))),
% 3.32/3.51 inference(bind,[status(th)],[])).
% 3.32/3.51 tff(215,plain,
% 3.32/3.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.32/3.51 inference(quant_intro,[status(thm)],[214])).
% 3.32/3.51 tff(216,plain,
% 3.32/3.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.32/3.51 inference(rewrite,[status(thm)],[])).
% 3.32/3.51 tff(217,plain,
% 3.32/3.51 (^[X7: $i, X8: $i, X9: $i, X10: $i] : trans(monotonicity(rewrite(((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) <=> (occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))), ((((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) => (X7 = X8)))), rewrite(((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) => (X7 = X8)) <=> ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))), ((((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))))),
% 3.32/3.51 inference(bind,[status(th)],[])).
% 3.32/3.51 tff(218,plain,
% 3.32/3.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : (((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.32/3.51 inference(quant_intro,[status(thm)],[217])).
% 3.32/3.51 tff(219,axiom,(![X7: $i, X8: $i, X9: $i, X10: $i] : (((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_02')).
% 3.32/3.51 tff(220,plain,
% 3.32/3.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.32/3.51 inference(modus_ponens,[status(thm)],[219, 218])).
% 3.32/3.51 tff(221,plain,
% 3.32/3.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.32/3.51 inference(modus_ponens,[status(thm)],[220, 216])).
% 3.32/3.51 tff(222,plain,(
% 3.32/3.51 ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.32/3.51 inference(skolemize,[status(sab)],[221])).
% 3.32/3.51 tff(223,plain,
% 3.32/3.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.32/3.51 inference(modus_ponens,[status(thm)],[222, 215])).
% 3.32/3.51 tff(224,plain,
% 3.32/3.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.32/3.51 inference(modus_ponens,[status(thm)],[223, 213])).
% 3.32/3.51 tff(225,plain,
% 3.32/3.51 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.51 inference(rewrite,[status(thm)],[])).
% 3.32/3.51 tff(226,plain,
% 3.32/3.51 (((tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(227,plain,
% 3.32/3.52 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.52 inference(monotonicity,[status(thm)],[226])).
% 3.32/3.52 tff(228,plain,
% 3.32/3.52 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.52 inference(transitivity,[status(thm)],[227, 225])).
% 3.32/3.52 tff(229,plain,
% 3.32/3.52 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.52 inference(quant_inst,[status(thm)],[])).
% 3.32/3.52 tff(230,plain,
% 3.32/3.52 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[229, 228])).
% 3.32/3.52 tff(231,plain,
% 3.32/3.52 (tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[230, 224, 185, 211, 205])).
% 3.32/3.52 tff(232,plain,
% 3.32/3.52 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X96_15(X101!17)),
% 3.32/3.52 inference(symmetry,[status(thm)],[231])).
% 3.32/3.52 tff(233,plain,
% 3.32/3.52 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17) <=> root_occ(tptp_fun_X96_15(X101!17), X101!17)),
% 3.32/3.52 inference(monotonicity,[status(thm)],[232])).
% 3.32/3.52 tff(234,plain,
% 3.32/3.52 (root_occ(tptp_fun_X96_15(X101!17), X101!17) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)),
% 3.32/3.52 inference(symmetry,[status(thm)],[233])).
% 3.32/3.52 tff(235,plain,
% 3.32/3.52 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[91, 234])).
% 3.32/3.52 tff(236,assumption,(![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))), introduced(assumption)).
% 3.32/3.52 tff(237,plain,
% 3.32/3.52 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(238,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_34')).
% 3.32/3.52 tff(239,plain,
% 3.32/3.52 (~atomic(tptp0)),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[238, 237])).
% 3.32/3.52 tff(240,plain,
% 3.32/3.52 (^[X91: $i, X92: $i] : refl((atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))))),
% 3.32/3.52 inference(bind,[status(th)],[])).
% 3.32/3.52 tff(241,plain,
% 3.32/3.52 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> ![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.32/3.52 inference(quant_intro,[status(thm)],[240])).
% 3.32/3.52 tff(242,plain,
% 3.32/3.52 (^[X91: $i, X92: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X92, X91) & (~atomic(X91))) <=> (~(atomic(X91) | (~occurrence_of(X92, X91))))), ((~(occurrence_of(X92, X91) & (~atomic(X91)))) <=> (~(~(atomic(X91) | (~occurrence_of(X92, X91))))))), rewrite((~(~(atomic(X91) | (~occurrence_of(X92, X91))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)))), ((~(occurrence_of(X92, X91) & (~atomic(X91)))) <=> (atomic(X91) | (~occurrence_of(X92, X91))))), rewrite((root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)) <=> (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))), (((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> ((atomic(X91) | (~occurrence_of(X92, X91))) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))))), rewrite(((atomic(X91) | (~occurrence_of(X92, X91))) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))), (((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))))),
% 3.32/3.52 inference(bind,[status(th)],[])).
% 3.32/3.52 tff(243,plain,
% 3.32/3.52 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> ![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.32/3.52 inference(quant_intro,[status(thm)],[242])).
% 3.32/3.52 tff(244,plain,
% 3.32/3.52 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(245,plain,
% 3.32/3.52 (^[X91: $i, X92: $i] : rewrite(((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))))),
% 3.32/3.52 inference(bind,[status(th)],[])).
% 3.32/3.52 tff(246,plain,
% 3.32/3.52 (![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.32/3.52 inference(quant_intro,[status(thm)],[245])).
% 3.32/3.52 tff(247,axiom,(![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_30')).
% 3.32/3.52 tff(248,plain,
% 3.32/3.52 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[247, 246])).
% 3.32/3.52 tff(249,plain,
% 3.32/3.52 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[248, 244])).
% 3.32/3.52 tff(250,plain,(
% 3.32/3.52 ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))),
% 3.32/3.52 inference(skolemize,[status(sab)],[249])).
% 3.32/3.52 tff(251,plain,
% 3.32/3.52 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[250, 243])).
% 3.32/3.52 tff(252,plain,
% 3.32/3.52 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[251, 241])).
% 3.32/3.52 tff(253,plain,
% 3.32/3.52 (((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(X101!17, tptp0)) | (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))))) <=> ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(X101!17, tptp0)) | (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(254,plain,
% 3.32/3.52 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(X101!17, tptp0)) | (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))))),
% 3.32/3.52 inference(quant_inst,[status(thm)],[])).
% 3.32/3.52 tff(255,plain,
% 3.32/3.52 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(X101!17, tptp0)) | (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))))),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[254, 253])).
% 3.32/3.52 tff(256,plain,
% 3.32/3.52 (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[255, 252, 239, 9])).
% 3.32/3.52 tff(257,plain,
% 3.32/3.52 (((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))) | subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)),
% 3.32/3.52 inference(tautology,[status(thm)],[])).
% 3.32/3.52 tff(258,plain,
% 3.32/3.52 (subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[257, 256])).
% 3.32/3.52 tff(259,plain,
% 3.32/3.52 (((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))) | root(tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 3.32/3.52 inference(tautology,[status(thm)],[])).
% 3.32/3.52 tff(260,plain,
% 3.32/3.52 (root(tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[259, 256])).
% 3.32/3.52 tff(261,plain,
% 3.32/3.52 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(262,plain,
% 3.32/3.52 (((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0))) <=> ((~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(263,plain,
% 3.32/3.52 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))))),
% 3.32/3.52 inference(monotonicity,[status(thm)],[262])).
% 3.32/3.52 tff(264,plain,
% 3.32/3.52 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 3.32/3.52 inference(transitivity,[status(thm)],[263, 261])).
% 3.32/3.52 tff(265,plain,
% 3.32/3.52 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)))),
% 3.32/3.52 inference(quant_inst,[status(thm)],[])).
% 3.32/3.52 tff(266,plain,
% 3.32/3.52 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[265, 264])).
% 3.32/3.52 tff(267,plain,
% 3.32/3.52 ($false),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[266, 9, 260, 258, 236])).
% 3.32/3.52 tff(268,plain,(~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 3.32/3.52 tff(269,plain,
% 3.32/3.52 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(270,plain,
% 3.32/3.52 ((~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(271,plain,
% 3.32/3.52 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))))),
% 3.32/3.52 inference(monotonicity,[status(thm)],[270])).
% 3.32/3.52 tff(272,plain,
% 3.32/3.52 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))))),
% 3.32/3.52 inference(transitivity,[status(thm)],[271, 269])).
% 3.32/3.52 tff(273,plain,
% 3.32/3.52 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))),
% 3.32/3.52 inference(quant_inst,[status(thm)],[])).
% 3.32/3.52 tff(274,plain,
% 3.32/3.52 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))),
% 3.32/3.52 inference(modus_ponens,[status(thm)],[273, 272])).
% 3.32/3.52 tff(275,plain,
% 3.32/3.52 (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[274, 63])).
% 3.32/3.52 tff(276,plain,
% 3.32/3.52 (((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))),
% 3.32/3.52 inference(tautology,[status(thm)],[])).
% 3.32/3.52 tff(277,plain,
% 3.32/3.52 (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[276, 275])).
% 3.32/3.52 tff(278,plain,
% 3.32/3.52 ((~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))) | root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))),
% 3.32/3.52 inference(tautology,[status(thm)],[])).
% 3.32/3.52 tff(279,plain,
% 3.32/3.52 (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[278, 277])).
% 3.32/3.52 tff(280,plain,
% 3.32/3.52 (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)),
% 3.32/3.52 inference(unit_resolution,[status(thm)],[279, 268])).
% 3.32/3.52 tff(281,plain,
% 3.32/3.52 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(282,plain,
% 3.32/3.52 (((tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17))) <=> ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)))),
% 3.32/3.52 inference(rewrite,[status(thm)],[])).
% 3.32/3.52 tff(283,plain,
% 3.32/3.52 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17))))),
% 3.32/3.52 inference(monotonicity,[status(thm)],[282])).
% 3.32/3.52 tff(284,plain,
% 3.32/3.52 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)))),
% 3.32/3.53 inference(transitivity,[status(thm)],[283, 281])).
% 3.32/3.53 tff(285,plain,
% 3.32/3.53 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17)))),
% 3.32/3.53 inference(quant_inst,[status(thm)],[])).
% 3.32/3.53 tff(286,plain,
% 3.32/3.53 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17))),
% 3.32/3.53 inference(modus_ponens,[status(thm)],[285, 284])).
% 3.32/3.53 tff(287,plain,
% 3.32/3.53 ((tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X101!17))),
% 3.32/3.53 inference(unit_resolution,[status(thm)],[286, 224, 9, 280])).
% 3.32/3.53 tff(288,plain,
% 3.32/3.53 (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.53 inference(unit_resolution,[status(thm)],[287, 235])).
% 3.32/3.53 tff(289,plain,
% 3.32/3.53 (tptp_fun_X100_16(tptp_fun_X93_13(X101!17, tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.53 inference(monotonicity,[status(thm)],[288])).
% 3.32/3.53 tff(290,plain,
% 3.32/3.53 (root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.32/3.53 inference(monotonicity,[status(thm)],[288])).
% 3.32/3.53 tff(291,plain,
% 3.32/3.53 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.32/3.53 inference(symmetry,[status(thm)],[290])).
% 3.32/3.53 tff(292,plain,
% 3.32/3.53 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 3.32/3.53 inference(rewrite,[status(thm)],[])).
% 3.32/3.53 tff(293,plain,
% 3.32/3.53 ((~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 3.32/3.53 inference(rewrite,[status(thm)],[])).
% 3.32/3.53 tff(294,plain,
% 3.32/3.53 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 3.32/3.53 inference(monotonicity,[status(thm)],[293])).
% 3.32/3.53 tff(295,plain,
% 3.32/3.53 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 3.32/3.53 inference(transitivity,[status(thm)],[294, 292])).
% 3.32/3.53 tff(296,plain,
% 3.32/3.53 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 3.32/3.53 inference(quant_inst,[status(thm)],[])).
% 3.32/3.53 tff(297,plain,
% 3.32/3.53 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 3.32/3.53 inference(modus_ponens,[status(thm)],[296, 295])).
% 3.32/3.53 tff(298,plain,
% 3.32/3.53 (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))),
% 3.32/3.53 inference(unit_resolution,[status(thm)],[297, 153])).
% 3.32/3.53 tff(299,plain,
% 3.32/3.53 (((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))) | ((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))),
% 3.32/3.53 inference(tautology,[status(thm)],[])).
% 3.32/3.53 tff(300,plain,
% 3.32/3.53 ((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 3.32/3.53 inference(unit_resolution,[status(thm)],[299, 298])).
% 3.32/3.53 tff(301,assumption,(min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)), introduced(assumption)).
% 3.32/3.53 tff(302,plain,
% 3.32/3.53 (^[X42: $i, X43: $i] : refl((~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))))),
% 3.32/3.53 inference(bind,[status(th)],[])).
% 3.32/3.53 tff(303,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.32/3.53 inference(quant_intro,[status(thm)],[302])).
% 3.32/3.53 tff(304,plain,
% 3.32/3.53 (^[X42: $i, X43: $i] : rewrite((~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))))),
% 3.32/3.53 inference(bind,[status(th)],[])).
% 3.32/3.53 tff(305,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.32/3.53 inference(quant_intro,[status(thm)],[304])).
% 3.32/3.53 tff(306,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.32/3.53 inference(transitivity,[status(thm)],[305, 303])).
% 3.32/3.53 tff(307,plain,
% 3.32/3.53 (^[X42: $i, X43: $i] : trans(monotonicity(rewrite(((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) <=> ((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))), trans(monotonicity(rewrite(((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) <=> (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))), ((leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))), rewrite((leaf(X42, X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))), ((leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))), ((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> (((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43)))))) & (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))), rewrite((((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43)))))) & (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))), ((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))))),
% 3.32/3.53 inference(bind,[status(th)],[])).
% 3.32/3.53 tff(308,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.32/3.53 inference(quant_intro,[status(thm)],[307])).
% 3.32/3.53 tff(309,plain,
% 3.32/3.53 (^[X42: $i, X43: $i] : rewrite((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))) <=> (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))))),
% 3.32/3.53 inference(bind,[status(th)],[])).
% 3.32/3.53 tff(310,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))) <=> ![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))),
% 3.32/3.53 inference(quant_intro,[status(thm)],[309])).
% 3.32/3.53 tff(311,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43)))) <=> ![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 3.32/3.53 inference(rewrite,[status(thm)],[])).
% 3.32/3.53 tff(312,axiom,(![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_14')).
% 3.32/3.53 tff(313,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 3.32/3.53 inference(modus_ponens,[status(thm)],[312, 311])).
% 3.32/3.53 tff(314,plain,(
% 3.32/3.53 ![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))))),
% 3.32/3.53 inference(skolemize,[status(sab)],[313])).
% 3.32/3.53 tff(315,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))),
% 3.32/3.53 inference(modus_ponens,[status(thm)],[314, 310])).
% 3.32/3.53 tff(316,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.32/3.53 inference(modus_ponens,[status(thm)],[315, 308])).
% 3.32/3.53 tff(317,plain,
% 3.32/3.53 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.32/3.54 inference(modus_ponens,[status(thm)],[316, 306])).
% 3.32/3.54 tff(318,plain,
% 3.32/3.54 (((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) <=> ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.32/3.54 inference(rewrite,[status(thm)],[])).
% 3.32/3.54 tff(319,plain,
% 3.32/3.54 ((~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) <=> (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.32/3.54 inference(rewrite,[status(thm)],[])).
% 3.32/3.54 tff(320,plain,
% 3.32/3.54 (((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))) <=> ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.32/3.54 inference(monotonicity,[status(thm)],[319])).
% 3.32/3.54 tff(321,plain,
% 3.32/3.54 (((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))) <=> ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.32/3.54 inference(transitivity,[status(thm)],[320, 318])).
% 3.32/3.54 tff(322,plain,
% 3.32/3.54 ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))),
% 3.32/3.54 inference(quant_inst,[status(thm)],[])).
% 3.32/3.54 tff(323,plain,
% 3.32/3.54 ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.32/3.54 inference(modus_ponens,[status(thm)],[322, 321])).
% 3.32/3.54 tff(324,plain,
% 3.32/3.54 (~((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.32/3.54 inference(unit_resolution,[status(thm)],[323, 317])).
% 3.32/3.54 tff(325,plain,
% 3.32/3.54 (((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))),
% 3.32/3.54 inference(tautology,[status(thm)],[])).
% 3.32/3.54 tff(326,plain,
% 3.32/3.54 ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0)))))),
% 3.32/3.54 inference(unit_resolution,[status(thm)],[325, 324])).
% 3.32/3.54 tff(327,plain,
% 3.32/3.54 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 3.32/3.54 inference(rewrite,[status(thm)],[])).
% 3.32/3.54 tff(328,plain,
% 3.32/3.54 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 3.32/3.54 inference(quant_inst,[status(thm)],[])).
% 3.32/3.54 tff(329,plain,
% 3.32/3.54 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.54 inference(modus_ponens,[status(thm)],[328, 327])).
% 3.32/3.54 tff(330,plain,
% 3.32/3.54 (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.54 inference(unit_resolution,[status(thm)],[329, 22, 185])).
% 3.32/3.54 tff(331,plain,
% 3.32/3.54 (((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.54 inference(tautology,[status(thm)],[])).
% 3.32/3.54 tff(332,plain,
% 3.32/3.54 (activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.54 inference(unit_resolution,[status(thm)],[331, 330])).
% 3.32/3.54 tff(333,plain,
% 3.32/3.54 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 3.32/3.54 inference(rewrite,[status(thm)],[])).
% 3.32/3.54 tff(334,plain,
% 3.32/3.54 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 3.32/3.54 inference(quant_inst,[status(thm)],[])).
% 3.32/3.54 tff(335,plain,
% 3.32/3.54 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 3.32/3.54 inference(modus_ponens,[status(thm)],[334, 333])).
% 3.32/3.54 tff(336,plain,
% 3.32/3.54 (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.54 inference(unit_resolution,[status(thm)],[335, 41, 332])).
% 3.32/3.54 tff(337,plain,
% 3.32/3.54 (((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.54 inference(tautology,[status(thm)],[])).
% 3.32/3.54 tff(338,plain,
% 3.32/3.54 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.54 inference(unit_resolution,[status(thm)],[337, 336])).
% 3.32/3.54 tff(339,plain,
% 3.32/3.54 (^[X35: $i, X36: $i] : refl((~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))))),
% 3.32/3.54 inference(bind,[status(th)],[])).
% 3.32/3.54 tff(340,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.32/3.54 inference(quant_intro,[status(thm)],[339])).
% 3.32/3.54 tff(341,plain,
% 3.32/3.54 (^[X35: $i, X36: $i] : rewrite((~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))))),
% 3.32/3.54 inference(bind,[status(th)],[])).
% 3.32/3.54 tff(342,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.32/3.54 inference(quant_intro,[status(thm)],[341])).
% 3.32/3.54 tff(343,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.32/3.54 inference(transitivity,[status(thm)],[342, 340])).
% 3.32/3.54 tff(344,plain,
% 3.32/3.54 (^[X35: $i, X36: $i] : trans(monotonicity(rewrite(((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) <=> ((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))), rewrite((leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))) <=> (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))), ((((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> (((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35)))))) & (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))), rewrite((((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35)))))) & (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))), ((((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))))),
% 3.32/3.54 inference(bind,[status(th)],[])).
% 3.32/3.54 tff(345,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.32/3.54 inference(quant_intro,[status(thm)],[344])).
% 3.32/3.54 tff(346,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))) <=> ![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.32/3.54 inference(rewrite,[status(thm)],[])).
% 3.32/3.54 tff(347,plain,
% 3.32/3.54 (^[X35: $i, X36: $i] : rewrite((leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37))) <=> (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))),
% 3.32/3.54 inference(bind,[status(th)],[])).
% 3.32/3.54 tff(348,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37))) <=> ![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.32/3.54 inference(quant_intro,[status(thm)],[347])).
% 3.32/3.54 tff(349,axiom,(![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_11')).
% 3.32/3.54 tff(350,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.32/3.54 inference(modus_ponens,[status(thm)],[349, 348])).
% 3.32/3.54 tff(351,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.32/3.54 inference(modus_ponens,[status(thm)],[350, 346])).
% 3.32/3.54 tff(352,plain,(
% 3.32/3.54 ![X35: $i, X36: $i] : (((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))))),
% 3.32/3.54 inference(skolemize,[status(sab)],[351])).
% 3.32/3.54 tff(353,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.32/3.54 inference(modus_ponens,[status(thm)],[352, 345])).
% 3.32/3.54 tff(354,plain,
% 3.32/3.54 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.32/3.54 inference(modus_ponens,[status(thm)],[353, 343])).
% 3.32/3.54 tff(355,plain,
% 3.32/3.54 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 3.32/3.54 inference(rewrite,[status(thm)],[])).
% 3.32/3.54 tff(356,plain,
% 3.32/3.54 ((~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))))) <=> (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))))),
% 3.32/3.55 inference(rewrite,[status(thm)],[])).
% 3.32/3.55 tff(357,plain,
% 3.32/3.55 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 3.32/3.55 inference(monotonicity,[status(thm)],[356])).
% 3.32/3.55 tff(358,plain,
% 3.32/3.55 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 3.32/3.55 inference(transitivity,[status(thm)],[357, 355])).
% 3.32/3.55 tff(359,plain,
% 3.32/3.55 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))),
% 3.32/3.55 inference(quant_inst,[status(thm)],[])).
% 3.32/3.55 tff(360,plain,
% 3.32/3.55 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))))),
% 3.32/3.55 inference(modus_ponens,[status(thm)],[359, 358])).
% 3.32/3.55 tff(361,plain,
% 3.32/3.55 (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))),
% 3.32/3.55 inference(unit_resolution,[status(thm)],[360, 354])).
% 3.32/3.55 tff(362,plain,
% 3.32/3.55 (((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))) | ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 3.32/3.55 inference(tautology,[status(thm)],[])).
% 3.32/3.55 tff(363,plain,
% 3.32/3.55 ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 3.32/3.55 inference(unit_resolution,[status(thm)],[362, 361])).
% 3.32/3.55 tff(364,plain,
% 3.32/3.55 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.55 inference(tautology,[status(thm)],[])).
% 3.32/3.55 tff(365,plain,
% 3.32/3.55 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.55 inference(unit_resolution,[status(thm)],[364, 209])).
% 3.32/3.55 tff(366,plain,
% 3.32/3.55 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 3.32/3.55 inference(tautology,[status(thm)],[])).
% 3.32/3.55 tff(367,plain,
% 3.32/3.55 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 3.32/3.55 inference(unit_resolution,[status(thm)],[366, 365])).
% 3.32/3.55 tff(368,plain,
% 3.32/3.55 (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 3.32/3.55 inference(unit_resolution,[status(thm)],[367, 363])).
% 3.32/3.55 tff(369,plain,
% 3.32/3.55 (((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.55 inference(tautology,[status(thm)],[])).
% 3.32/3.55 tff(370,plain,
% 3.32/3.55 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.55 inference(unit_resolution,[status(thm)],[369, 368])).
% 3.32/3.55 tff(371,plain,
% 3.32/3.55 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.55 inference(rewrite,[status(thm)],[])).
% 3.32/3.55 tff(372,plain,
% 3.32/3.55 (((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.55 inference(rewrite,[status(thm)],[])).
% 3.32/3.55 tff(373,plain,
% 3.32/3.55 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 3.32/3.55 inference(monotonicity,[status(thm)],[372])).
% 3.32/3.55 tff(374,plain,
% 3.32/3.55 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.55 inference(transitivity,[status(thm)],[373, 371])).
% 3.32/3.55 tff(375,plain,
% 3.32/3.55 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.55 inference(quant_inst,[status(thm)],[])).
% 3.32/3.55 tff(376,plain,
% 3.32/3.55 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.55 inference(modus_ponens,[status(thm)],[375, 374])).
% 3.32/3.55 tff(377,plain,
% 3.32/3.55 (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.55 inference(unit_resolution,[status(thm)],[376, 109, 370, 338])).
% 3.32/3.55 tff(378,plain,
% 3.32/3.55 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0))),
% 3.32/3.55 inference(rewrite,[status(thm)],[])).
% 3.32/3.55 tff(379,plain,
% 3.32/3.55 (((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0))),
% 3.32/3.56 inference(rewrite,[status(thm)],[])).
% 3.32/3.56 tff(380,plain,
% 3.32/3.56 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0)))),
% 3.32/3.56 inference(monotonicity,[status(thm)],[379])).
% 3.32/3.56 tff(381,plain,
% 3.32/3.56 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0))),
% 3.32/3.56 inference(transitivity,[status(thm)],[380, 378])).
% 3.32/3.56 tff(382,plain,
% 3.32/3.56 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.32/3.56 inference(quant_inst,[status(thm)],[])).
% 3.32/3.56 tff(383,plain,
% 3.32/3.56 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0)),
% 3.32/3.56 inference(modus_ponens,[status(thm)],[382, 381])).
% 3.32/3.56 tff(384,plain,
% 3.32/3.56 (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[383, 109, 185, 338])).
% 3.32/3.56 tff(385,plain,
% 3.32/3.56 (tptp0 = tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.32/3.56 inference(symmetry,[status(thm)],[384])).
% 3.32/3.56 tff(386,plain,
% 3.32/3.56 (tptp0 = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.32/3.56 inference(transitivity,[status(thm)],[385, 377])).
% 3.32/3.56 tff(387,plain,
% 3.32/3.56 (leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.56 inference(monotonicity,[status(thm)],[386])).
% 3.32/3.56 tff(388,plain,
% 3.32/3.56 (leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.32/3.56 inference(symmetry,[status(thm)],[387])).
% 3.32/3.56 tff(389,plain,
% 3.32/3.56 (((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(390,plain,
% 3.32/3.56 (leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[389, 368])).
% 3.32/3.56 tff(391,plain,
% 3.32/3.56 (leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.32/3.56 inference(modus_ponens,[status(thm)],[390, 388])).
% 3.32/3.56 tff(392,plain,
% 3.32/3.56 ((~((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0)))))),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(393,plain,
% 3.32/3.56 (~((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[392, 391, 326])).
% 3.32/3.56 tff(394,plain,
% 3.32/3.56 (((~(root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0)))) | ![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(395,plain,
% 3.32/3.56 (![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[394, 393])).
% 3.32/3.56 tff(396,plain,
% 3.32/3.56 ((~![X45: $i] : (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X45, tptp0))) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))),
% 3.32/3.56 inference(quant_inst,[status(thm)],[])).
% 3.32/3.56 tff(397,plain,
% 3.32/3.56 ($false),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[396, 395, 301])).
% 3.32/3.56 tff(398,plain,(~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)), inference(lemma,lemma(discharge,[]))).
% 3.32/3.56 tff(399,plain,
% 3.32/3.56 (((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(400,plain,
% 3.32/3.56 ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[399, 398])).
% 3.32/3.56 tff(401,plain,
% 3.32/3.56 ((~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(402,plain,
% 3.32/3.56 ((~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[401, 400])).
% 3.32/3.56 tff(403,plain,
% 3.32/3.56 (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[402, 300])).
% 3.32/3.56 tff(404,plain,
% 3.32/3.56 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(405,plain,
% 3.32/3.56 ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[404, 403])).
% 3.32/3.56 tff(406,plain,
% 3.32/3.56 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 3.32/3.56 inference(quant_inst,[status(thm)],[])).
% 3.32/3.56 tff(407,plain,
% 3.32/3.56 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[406, 153])).
% 3.32/3.56 tff(408,plain,
% 3.32/3.56 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(409,plain,
% 3.32/3.56 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[408, 407])).
% 3.32/3.56 tff(410,plain,
% 3.32/3.56 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(411,plain,
% 3.32/3.56 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[410, 209])).
% 3.32/3.56 tff(412,plain,
% 3.32/3.56 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(413,plain,
% 3.32/3.56 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[412, 411])).
% 3.32/3.56 tff(414,plain,
% 3.32/3.56 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[413, 409])).
% 3.32/3.56 tff(415,plain,
% 3.32/3.56 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.32/3.56 inference(tautology,[status(thm)],[])).
% 3.32/3.56 tff(416,plain,
% 3.32/3.56 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.32/3.56 inference(unit_resolution,[status(thm)],[415, 414])).
% 3.32/3.56 tff(417,plain,
% 3.32/3.56 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.41/3.56 inference(rewrite,[status(thm)],[])).
% 3.41/3.56 tff(418,plain,
% 3.41/3.56 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.41/3.56 inference(quant_inst,[status(thm)],[])).
% 3.41/3.56 tff(419,plain,
% 3.41/3.56 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.41/3.56 inference(modus_ponens,[status(thm)],[418, 417])).
% 3.41/3.56 tff(420,plain,
% 3.41/3.56 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.41/3.56 inference(unit_resolution,[status(thm)],[419, 177, 416])).
% 3.41/3.56 tff(421,plain,
% 3.41/3.56 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.41/3.56 inference(tautology,[status(thm)],[])).
% 3.41/3.56 tff(422,plain,
% 3.41/3.56 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.41/3.56 inference(unit_resolution,[status(thm)],[421, 420])).
% 3.41/3.56 tff(423,plain,
% 3.41/3.56 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 3.41/3.57 inference(tautology,[status(thm)],[])).
% 3.41/3.57 tff(424,plain,
% 3.41/3.57 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 3.41/3.57 inference(unit_resolution,[status(thm)],[423, 420])).
% 3.41/3.57 tff(425,plain,
% 3.41/3.57 (^[X19: $i, X20: $i, X21: $i] : refl(((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))) <=> ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))))),
% 3.41/3.57 inference(bind,[status(th)],[])).
% 3.41/3.57 tff(426,plain,
% 3.41/3.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.41/3.57 inference(quant_intro,[status(thm)],[425])).
% 3.41/3.57 tff(427,plain,
% 3.41/3.57 (^[X19: $i, X20: $i, X21: $i] : rewrite(((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))))),
% 3.41/3.57 inference(bind,[status(th)],[])).
% 3.41/3.57 tff(428,plain,
% 3.41/3.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.41/3.57 inference(quant_intro,[status(thm)],[427])).
% 3.41/3.57 tff(429,plain,
% 3.41/3.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.41/3.57 inference(rewrite,[status(thm)],[])).
% 3.41/3.57 tff(430,plain,
% 3.41/3.57 (^[X19: $i, X20: $i, X21: $i] : rewrite((next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20))) <=> ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))))),
% 3.41/3.57 inference(bind,[status(th)],[])).
% 3.41/3.57 tff(431,plain,
% 3.41/3.57 (![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.41/3.57 inference(quant_intro,[status(thm)],[430])).
% 3.41/3.57 tff(432,axiom,(![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_05')).
% 3.41/3.57 tff(433,plain,
% 3.41/3.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[432, 431])).
% 3.41/3.57 tff(434,plain,
% 3.41/3.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[433, 429])).
% 3.41/3.57 tff(435,plain,(
% 3.41/3.57 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.41/3.57 inference(skolemize,[status(sab)],[434])).
% 3.41/3.57 tff(436,plain,
% 3.41/3.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[435, 428])).
% 3.41/3.57 tff(437,plain,
% 3.41/3.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[436, 426])).
% 3.41/3.57 tff(438,plain,
% 3.41/3.57 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 3.41/3.57 inference(rewrite,[status(thm)],[])).
% 3.41/3.57 tff(439,plain,
% 3.41/3.57 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 3.41/3.57 inference(quant_inst,[status(thm)],[])).
% 3.41/3.57 tff(440,plain,
% 3.41/3.57 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[439, 438])).
% 3.41/3.57 tff(441,plain,
% 3.41/3.57 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.41/3.57 inference(unit_resolution,[status(thm)],[440, 437, 411])).
% 3.41/3.57 tff(442,plain,
% 3.41/3.57 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.41/3.57 inference(tautology,[status(thm)],[])).
% 3.41/3.57 tff(443,plain,
% 3.41/3.57 (arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.41/3.57 inference(unit_resolution,[status(thm)],[442, 441])).
% 3.41/3.57 tff(444,plain,
% 3.41/3.57 (^[X98: $i, X99: $i] : refl((leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))))),
% 3.41/3.57 inference(bind,[status(th)],[])).
% 3.41/3.57 tff(445,plain,
% 3.41/3.57 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> ![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 3.41/3.57 inference(quant_intro,[status(thm)],[444])).
% 3.41/3.57 tff(446,plain,
% 3.41/3.57 (^[X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) <=> (~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))), ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) <=> (~(~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))))), rewrite((~(~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))), ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))), rewrite((occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0)) <=> (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))), (((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> ((leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))))), rewrite(((leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))), (((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))))),
% 3.41/3.57 inference(bind,[status(th)],[])).
% 3.41/3.57 tff(447,plain,
% 3.41/3.57 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> ![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 3.41/3.57 inference(quant_intro,[status(thm)],[446])).
% 3.41/3.57 tff(448,plain,
% 3.41/3.57 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 3.41/3.57 inference(rewrite,[status(thm)],[])).
% 3.41/3.57 tff(449,plain,
% 3.41/3.57 (^[X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98))), ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> ((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98)) & (~leaf_occ(X98, X99))))), rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))), ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))))), (((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))))), rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))), (((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))))),
% 3.41/3.57 inference(bind,[status(th)],[])).
% 3.41/3.57 tff(450,plain,
% 3.41/3.57 (![X98: $i, X99: $i] : ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 3.41/3.57 inference(quant_intro,[status(thm)],[449])).
% 3.41/3.57 tff(451,axiom,(![X98: $i, X99: $i] : ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_45')).
% 3.41/3.57 tff(452,plain,
% 3.41/3.57 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[451, 450])).
% 3.41/3.57 tff(453,plain,
% 3.41/3.57 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[452, 448])).
% 3.41/3.57 tff(454,plain,(
% 3.41/3.57 ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))),
% 3.41/3.57 inference(skolemize,[status(sab)],[453])).
% 3.41/3.57 tff(455,plain,
% 3.41/3.57 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[454, 447])).
% 3.41/3.57 tff(456,plain,
% 3.41/3.57 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[455, 445])).
% 3.41/3.57 tff(457,plain,
% 3.41/3.57 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 3.41/3.57 inference(rewrite,[status(thm)],[])).
% 3.41/3.57 tff(458,plain,
% 3.41/3.57 ((leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))) <=> ((~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 3.41/3.57 inference(rewrite,[status(thm)],[])).
% 3.41/3.57 tff(459,plain,
% 3.41/3.57 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 3.41/3.57 inference(monotonicity,[status(thm)],[458])).
% 3.41/3.57 tff(460,plain,
% 3.41/3.57 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 3.41/3.57 inference(transitivity,[status(thm)],[459, 457])).
% 3.41/3.57 tff(461,plain,
% 3.41/3.57 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 3.41/3.57 inference(quant_inst,[status(thm)],[])).
% 3.41/3.57 tff(462,plain,
% 3.41/3.57 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))),
% 3.41/3.57 inference(modus_ponens,[status(thm)],[461, 460])).
% 3.41/3.57 tff(463,plain,
% 3.41/3.57 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))),
% 3.41/3.57 inference(unit_resolution,[status(thm)],[462, 456, 443, 424, 422])).
% 3.41/3.57 tff(464,plain,
% 3.41/3.57 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.41/3.57 inference(unit_resolution,[status(thm)],[463, 405])).
% 3.41/3.57 tff(465,plain,
% 3.41/3.57 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))),
% 3.41/3.58 inference(rewrite,[status(thm)],[])).
% 3.41/3.58 tff(466,plain,
% 3.41/3.58 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))),
% 3.41/3.58 inference(quant_inst,[status(thm)],[])).
% 3.41/3.58 tff(467,plain,
% 3.41/3.58 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))))),
% 3.41/3.58 inference(modus_ponens,[status(thm)],[466, 465])).
% 3.41/3.58 tff(468,plain,
% 3.41/3.58 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))),
% 3.41/3.58 inference(unit_resolution,[status(thm)],[467, 85, 424])).
% 3.41/3.58 tff(469,plain,
% 3.41/3.58 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.41/3.58 inference(tautology,[status(thm)],[])).
% 3.41/3.58 tff(470,plain,
% 3.41/3.58 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.41/3.58 inference(unit_resolution,[status(thm)],[469, 468])).
% 3.41/3.58 tff(471,plain,
% 3.41/3.58 (^[X11: $i, X12: $i, X13: $i, X14: $i] : refl(((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))),
% 3.41/3.58 inference(bind,[status(th)],[])).
% 3.41/3.58 tff(472,plain,
% 3.41/3.58 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.41/3.58 inference(quant_intro,[status(thm)],[471])).
% 3.41/3.58 tff(473,plain,
% 3.41/3.58 (^[X11: $i, X12: $i, X13: $i, X14: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) <=> (~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))), ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) <=> (~(~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))))), rewrite((~(~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))) <=> (atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))), ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) <=> (atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))), (((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ((atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) | (X11 = X12)))), rewrite(((atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) | (X11 = X12)) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))), (((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))))),
% 3.41/3.58 inference(bind,[status(th)],[])).
% 3.41/3.58 tff(474,plain,
% 3.41/3.58 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.41/3.58 inference(quant_intro,[status(thm)],[473])).
% 3.41/3.58 tff(475,plain,
% 3.41/3.58 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.41/3.58 inference(rewrite,[status(thm)],[])).
% 3.41/3.58 tff(476,plain,
% 3.41/3.58 (^[X11: $i, X12: $i, X13: $i, X14: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13))), ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> ((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)))), rewrite(((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))), ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)))), (((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) => (X11 = X12)))), rewrite(((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))), (((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))))),
% 3.41/3.58 inference(bind,[status(th)],[])).
% 3.41/3.58 tff(477,plain,
% 3.41/3.58 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.41/3.58 inference(quant_intro,[status(thm)],[476])).
% 3.41/3.58 tff(478,axiom,(![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_03')).
% 3.41/3.58 tff(479,plain,
% 3.41/3.58 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.41/3.58 inference(modus_ponens,[status(thm)],[478, 477])).
% 3.41/3.58 tff(480,plain,
% 3.41/3.58 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.41/3.58 inference(modus_ponens,[status(thm)],[479, 475])).
% 3.41/3.58 tff(481,plain,(
% 3.41/3.58 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.41/3.58 inference(skolemize,[status(sab)],[480])).
% 3.41/3.58 tff(482,plain,
% 3.41/3.58 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.41/3.58 inference(modus_ponens,[status(thm)],[481, 474])).
% 3.41/3.58 tff(483,plain,
% 3.41/3.58 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.41/3.58 inference(modus_ponens,[status(thm)],[482, 472])).
% 3.41/3.58 tff(484,plain,
% 3.41/3.58 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.41/3.58 inference(rewrite,[status(thm)],[])).
% 3.41/3.58 tff(485,plain,
% 3.41/3.58 (((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.41/3.58 inference(rewrite,[status(thm)],[])).
% 3.41/3.58 tff(486,plain,
% 3.41/3.58 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.41/3.58 inference(monotonicity,[status(thm)],[485])).
% 3.41/3.58 tff(487,plain,
% 3.41/3.58 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.41/3.58 inference(transitivity,[status(thm)],[486, 484])).
% 3.41/3.58 tff(488,plain,
% 3.41/3.58 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.41/3.58 inference(quant_inst,[status(thm)],[])).
% 3.41/3.58 tff(489,plain,
% 3.41/3.58 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.41/3.58 inference(modus_ponens,[status(thm)],[488, 487])).
% 3.41/3.58 tff(490,plain,
% 3.41/3.58 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.41/3.58 inference(unit_resolution,[status(thm)],[489, 483, 239, 424, 470, 464])).
% 3.41/3.58 tff(491,plain,
% 3.41/3.58 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.41/3.58 inference(symmetry,[status(thm)],[490])).
% 3.41/3.58 tff(492,plain,
% 3.41/3.58 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.41/3.58 inference(monotonicity,[status(thm)],[491])).
% 3.41/3.58 tff(493,plain,
% 3.41/3.58 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 3.41/3.58 inference(symmetry,[status(thm)],[492])).
% 3.41/3.58 tff(494,plain,
% 3.41/3.58 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 3.41/3.58 inference(modus_ponens,[status(thm)],[416, 493])).
% 3.41/3.58 tff(495,plain,
% 3.41/3.58 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))))))),
% 3.41/3.58 inference(quant_inst,[status(thm)],[])).
% 3.41/3.58 tff(496,plain,
% 3.41/3.58 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))))))),
% 3.41/3.59 inference(unit_resolution,[status(thm)],[495, 153])).
% 3.41/3.59 tff(497,plain,
% 3.41/3.59 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))))),
% 3.43/3.59 inference(tautology,[status(thm)],[])).
% 3.43/3.59 tff(498,plain,
% 3.43/3.59 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[497, 496])).
% 3.43/3.59 tff(499,plain,
% 3.43/3.59 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 3.43/3.59 inference(tautology,[status(thm)],[])).
% 3.43/3.59 tff(500,plain,
% 3.43/3.59 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[499, 468])).
% 3.43/3.59 tff(501,plain,
% 3.43/3.59 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))),
% 3.43/3.59 inference(tautology,[status(thm)],[])).
% 3.43/3.59 tff(502,plain,
% 3.43/3.59 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[501, 500])).
% 3.43/3.59 tff(503,plain,
% 3.43/3.59 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[502, 498])).
% 3.43/3.59 tff(504,plain,
% 3.43/3.59 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))),
% 3.43/3.59 inference(tautology,[status(thm)],[])).
% 3.43/3.59 tff(505,plain,
% 3.43/3.59 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[504, 503])).
% 3.43/3.59 tff(506,plain,
% 3.43/3.59 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.43/3.59 inference(rewrite,[status(thm)],[])).
% 3.43/3.59 tff(507,plain,
% 3.43/3.59 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.43/3.59 inference(quant_inst,[status(thm)],[])).
% 3.43/3.59 tff(508,plain,
% 3.43/3.59 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.43/3.59 inference(modus_ponens,[status(thm)],[507, 506])).
% 3.43/3.59 tff(509,plain,
% 3.43/3.59 ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[508, 505])).
% 3.43/3.59 tff(510,plain,
% 3.43/3.59 (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[509, 494])).
% 3.43/3.59 tff(511,plain,
% 3.43/3.59 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 3.43/3.59 inference(monotonicity,[status(thm)],[490])).
% 3.43/3.59 tff(512,plain,
% 3.43/3.59 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.43/3.59 inference(symmetry,[status(thm)],[511])).
% 3.43/3.59 tff(513,plain,
% 3.43/3.59 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 3.43/3.59 inference(tautology,[status(thm)],[])).
% 3.43/3.59 tff(514,plain,
% 3.43/3.59 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[513, 503])).
% 3.43/3.59 tff(515,plain,
% 3.43/3.59 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.43/3.59 inference(modus_ponens,[status(thm)],[514, 512])).
% 3.43/3.59 tff(516,plain,
% 3.43/3.59 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))),
% 3.43/3.59 inference(tautology,[status(thm)],[])).
% 3.43/3.59 tff(517,plain,
% 3.43/3.59 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))),
% 3.43/3.59 inference(unit_resolution,[status(thm)],[516, 414])).
% 3.43/3.59 tff(518,plain,
% 3.43/3.59 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(519,plain,
% 3.43/3.60 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))),
% 3.43/3.60 inference(quant_inst,[status(thm)],[])).
% 3.43/3.60 tff(520,plain,
% 3.43/3.60 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))),
% 3.43/3.60 inference(modus_ponens,[status(thm)],[519, 518])).
% 3.43/3.60 tff(521,plain,
% 3.43/3.60 ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[520, 517])).
% 3.43/3.60 tff(522,plain,
% 3.43/3.60 (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 3.43/3.60 inference(unit_resolution,[status(thm)],[521, 515])).
% 3.43/3.60 tff(523,plain,
% 3.43/3.60 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))))))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(524,plain,
% 3.43/3.60 ((~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))))) <=> (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))))),
% 3.43/3.60 inference(rewrite,[status(thm)],[])).
% 3.43/3.60 tff(525,plain,
% 3.43/3.60 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))))))),
% 3.43/3.60 inference(monotonicity,[status(thm)],[524])).
% 3.43/3.60 tff(526,plain,
% 3.43/3.60 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))))))),
% 3.43/3.60 inference(transitivity,[status(thm)],[525, 523])).
% 3.43/3.60 tff(527,plain,
% 3.43/3.60 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34)))))))),
% 3.43/3.61 inference(quant_inst,[status(thm)],[])).
% 3.43/3.61 tff(528,plain,
% 3.43/3.61 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))))),
% 3.43/3.61 inference(modus_ponens,[status(thm)],[527, 526])).
% 3.43/3.61 tff(529,plain,
% 3.43/3.61 (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[528, 63])).
% 3.43/3.61 tff(530,plain,
% 3.43/3.61 (((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))) | ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))),
% 3.43/3.61 inference(tautology,[status(thm)],[])).
% 3.43/3.61 tff(531,plain,
% 3.43/3.61 ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[530, 529])).
% 3.43/3.61 tff(532,plain,
% 3.43/3.61 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.43/3.61 inference(tautology,[status(thm)],[])).
% 3.43/3.61 tff(533,plain,
% 3.43/3.61 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[532, 468])).
% 3.43/3.61 tff(534,plain,
% 3.43/3.61 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 3.43/3.61 inference(tautology,[status(thm)],[])).
% 3.43/3.61 tff(535,plain,
% 3.43/3.61 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[534, 533])).
% 3.43/3.61 tff(536,plain,
% 3.43/3.61 (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[535, 531])).
% 3.43/3.61 tff(537,plain,
% 3.43/3.61 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.43/3.61 inference(tautology,[status(thm)],[])).
% 3.43/3.61 tff(538,plain,
% 3.43/3.61 (subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.43/3.61 inference(unit_resolution,[status(thm)],[537, 536])).
% 3.43/3.61 tff(539,plain,
% 3.43/3.61 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(540,plain,
% 3.43/3.62 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 3.43/3.62 inference(quant_inst,[status(thm)],[])).
% 3.43/3.62 tff(541,plain,
% 3.43/3.62 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[540, 539])).
% 3.43/3.62 tff(542,plain,
% 3.43/3.62 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[541, 437, 500])).
% 3.43/3.62 tff(543,plain,
% 3.43/3.62 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.43/3.62 inference(tautology,[status(thm)],[])).
% 3.43/3.62 tff(544,plain,
% 3.43/3.62 (arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[543, 542])).
% 3.43/3.62 tff(545,plain,
% 3.43/3.62 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.43/3.62 inference(tautology,[status(thm)],[])).
% 3.43/3.62 tff(546,plain,
% 3.43/3.62 (subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[545, 420])).
% 3.43/3.62 tff(547,plain,
% 3.43/3.62 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.43/3.62 inference(tautology,[status(thm)],[])).
% 3.43/3.62 tff(548,plain,
% 3.43/3.62 (arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.43/3.62 inference(unit_resolution,[status(thm)],[547, 441])).
% 3.43/3.62 tff(549,plain,
% 3.43/3.62 (^[X85: $i, X86: $i, X87: $i, X88: $i] : refl(((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))),
% 3.43/3.62 inference(bind,[status(th)],[])).
% 3.43/3.62 tff(550,plain,
% 3.43/3.62 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.43/3.62 inference(quant_intro,[status(thm)],[549])).
% 3.43/3.62 tff(551,plain,
% 3.43/3.62 (^[X85: $i, X86: $i, X87: $i, X88: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) <=> (~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))), ((~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))) <=> (~(~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))))), rewrite((~(~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))) <=> ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))), ((~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))) <=> ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))), (((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))))), rewrite(((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))), (((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))))),
% 3.43/3.62 inference(bind,[status(th)],[])).
% 3.43/3.62 tff(552,plain,
% 3.43/3.62 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.43/3.62 inference(quant_intro,[status(thm)],[551])).
% 3.43/3.62 tff(553,plain,
% 3.43/3.62 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(554,plain,
% 3.43/3.62 (^[X85: $i, X86: $i, X87: $i, X88: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88))), ((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88)) & subactivity_occurrence(X87, X86)))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86))), ((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)))), (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))), (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))), trans(monotonicity(rewrite((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) <=> (min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))), (((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)) <=> ((min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)) | (X87 = X88)))), rewrite(((min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)) | (X87 = X88)) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))), (((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)))), ((((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) => ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) => ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))), ((((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))))),
% 3.43/3.62 inference(bind,[status(th)],[])).
% 3.43/3.62 tff(555,plain,
% 3.43/3.62 (![X85: $i, X86: $i, X87: $i, X88: $i] : (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.43/3.62 inference(quant_intro,[status(thm)],[554])).
% 3.43/3.62 tff(556,axiom,(![X85: $i, X86: $i, X87: $i, X88: $i] : (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_28')).
% 3.43/3.62 tff(557,plain,
% 3.43/3.62 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[556, 555])).
% 3.43/3.62 tff(558,plain,
% 3.43/3.62 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[557, 553])).
% 3.43/3.62 tff(559,plain,(
% 3.43/3.62 ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.43/3.62 inference(skolemize,[status(sab)],[558])).
% 3.43/3.62 tff(560,plain,
% 3.43/3.62 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[559, 552])).
% 3.43/3.62 tff(561,plain,
% 3.43/3.62 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.43/3.62 inference(modus_ponens,[status(thm)],[560, 550])).
% 3.43/3.62 tff(562,plain,
% 3.43/3.62 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.43/3.62 inference(rewrite,[status(thm)],[])).
% 3.43/3.62 tff(563,plain,
% 3.43/3.62 (((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.47/3.62 inference(rewrite,[status(thm)],[])).
% 3.47/3.62 tff(564,plain,
% 3.47/3.62 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.47/3.62 inference(monotonicity,[status(thm)],[563])).
% 3.47/3.62 tff(565,plain,
% 3.47/3.62 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.47/3.62 inference(transitivity,[status(thm)],[564, 562])).
% 3.47/3.62 tff(566,plain,
% 3.47/3.62 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.47/3.62 inference(quant_inst,[status(thm)],[])).
% 3.47/3.62 tff(567,plain,
% 3.47/3.62 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.47/3.62 inference(modus_ponens,[status(thm)],[566, 565])).
% 3.47/3.62 tff(568,plain,
% 3.47/3.62 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.47/3.63 inference(unit_resolution,[status(thm)],[567, 561, 548, 424, 546, 544, 538, 522, 510])).
% 3.47/3.63 tff(569,plain,
% 3.47/3.63 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.47/3.63 inference(monotonicity,[status(thm)],[568])).
% 3.47/3.63 tff(570,plain,
% 3.47/3.63 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.47/3.63 inference(modus_ponens,[status(thm)],[533, 569])).
% 3.47/3.63 tff(571,plain,
% 3.47/3.63 (root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.47/3.63 inference(modus_ponens,[status(thm)],[570, 291])).
% 3.47/3.63 tff(572,assumption,(![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))), introduced(assumption)).
% 3.47/3.63 tff(573,plain,
% 3.47/3.63 (((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))) <=> ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.47/3.63 inference(rewrite,[status(thm)],[])).
% 3.47/3.63 tff(574,plain,
% 3.47/3.63 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.47/3.63 inference(quant_inst,[status(thm)],[])).
% 3.47/3.63 tff(575,plain,
% 3.47/3.63 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.47/3.63 inference(modus_ponens,[status(thm)],[574, 573])).
% 3.47/3.63 tff(576,plain,
% 3.47/3.63 (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.63 inference(unit_resolution,[status(thm)],[575, 252, 239, 424])).
% 3.48/3.63 tff(577,plain,
% 3.48/3.63 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.48/3.63 inference(tautology,[status(thm)],[])).
% 3.48/3.63 tff(578,plain,
% 3.48/3.63 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.48/3.63 inference(unit_resolution,[status(thm)],[577, 576])).
% 3.48/3.63 tff(579,plain,
% 3.48/3.63 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)),
% 3.48/3.63 inference(tautology,[status(thm)],[])).
% 3.48/3.63 tff(580,plain,
% 3.48/3.63 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)),
% 3.48/3.63 inference(unit_resolution,[status(thm)],[579, 576])).
% 3.48/3.63 tff(581,plain,
% 3.48/3.63 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.63 inference(rewrite,[status(thm)],[])).
% 3.48/3.63 tff(582,plain,
% 3.48/3.63 (((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.63 inference(rewrite,[status(thm)],[])).
% 3.48/3.63 tff(583,plain,
% 3.48/3.63 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.48/3.63 inference(monotonicity,[status(thm)],[582])).
% 3.48/3.63 tff(584,plain,
% 3.48/3.63 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.63 inference(transitivity,[status(thm)],[583, 581])).
% 3.48/3.63 tff(585,plain,
% 3.48/3.63 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))),
% 3.48/3.63 inference(quant_inst,[status(thm)],[])).
% 3.48/3.63 tff(586,plain,
% 3.48/3.63 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.48/3.63 inference(modus_ponens,[status(thm)],[585, 584])).
% 3.48/3.63 tff(587,plain,
% 3.48/3.63 ($false),
% 3.48/3.63 inference(unit_resolution,[status(thm)],[586, 424, 580, 578, 572])).
% 3.48/3.63 tff(588,plain,(~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 3.48/3.63 tff(589,plain,
% 3.48/3.63 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34))))))))),
% 3.48/3.64 inference(rewrite,[status(thm)],[])).
% 3.48/3.64 tff(590,plain,
% 3.48/3.64 ((~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))),
% 3.48/3.64 inference(rewrite,[status(thm)],[])).
% 3.48/3.64 tff(591,plain,
% 3.48/3.64 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34))))))))),
% 3.48/3.64 inference(monotonicity,[status(thm)],[590])).
% 3.48/3.64 tff(592,plain,
% 3.48/3.64 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34))))))))),
% 3.48/3.64 inference(transitivity,[status(thm)],[591, 589])).
% 3.48/3.64 tff(593,plain,
% 3.48/3.64 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))),
% 3.48/3.65 inference(quant_inst,[status(thm)],[])).
% 3.48/3.65 tff(594,plain,
% 3.48/3.65 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))),
% 3.48/3.65 inference(modus_ponens,[status(thm)],[593, 592])).
% 3.48/3.65 tff(595,plain,
% 3.48/3.65 (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34))))))),
% 3.48/3.65 inference(unit_resolution,[status(thm)],[594, 63])).
% 3.48/3.65 tff(596,plain,
% 3.48/3.65 (((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34))))),
% 3.48/3.65 inference(tautology,[status(thm)],[])).
% 3.48/3.65 tff(597,plain,
% 3.48/3.65 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))),
% 3.48/3.65 inference(unit_resolution,[status(thm)],[596, 595])).
% 3.48/3.65 tff(598,plain,
% 3.48/3.65 ((~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))),
% 3.48/3.65 inference(tautology,[status(thm)],[])).
% 3.48/3.65 tff(599,plain,
% 3.48/3.65 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))),
% 3.48/3.65 inference(unit_resolution,[status(thm)],[598, 597])).
% 3.48/3.65 tff(600,plain,
% 3.48/3.65 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.48/3.65 inference(unit_resolution,[status(thm)],[599, 588])).
% 3.48/3.65 tff(601,plain,
% 3.48/3.65 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.65 inference(rewrite,[status(thm)],[])).
% 3.48/3.65 tff(602,plain,
% 3.48/3.65 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.65 inference(rewrite,[status(thm)],[])).
% 3.48/3.65 tff(603,plain,
% 3.48/3.65 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 3.48/3.65 inference(monotonicity,[status(thm)],[602])).
% 3.48/3.65 tff(604,plain,
% 3.48/3.65 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.65 inference(transitivity,[status(thm)],[603, 601])).
% 3.48/3.65 tff(605,plain,
% 3.48/3.65 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.65 inference(quant_inst,[status(thm)],[])).
% 3.48/3.65 tff(606,plain,
% 3.48/3.65 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.48/3.65 inference(modus_ponens,[status(thm)],[605, 604])).
% 3.48/3.66 tff(607,plain,
% 3.48/3.66 ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.48/3.66 inference(unit_resolution,[status(thm)],[606, 224, 424, 600])).
% 3.48/3.66 tff(608,plain,
% 3.48/3.66 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)),
% 3.48/3.66 inference(unit_resolution,[status(thm)],[607, 571])).
% 3.48/3.66 tff(609,plain,
% 3.48/3.66 (tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) = tptp_fun_X100_16(tptp_fun_X93_13(X101!17, tptp0))),
% 3.48/3.66 inference(monotonicity,[status(thm)],[608])).
% 3.48/3.66 tff(610,plain,
% 3.48/3.66 (tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.48/3.66 inference(transitivity,[status(thm)],[609, 289])).
% 3.48/3.66 tff(611,plain,
% 3.48/3.66 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.48/3.66 inference(transitivity,[status(thm)],[608, 288])).
% 3.48/3.66 tff(612,plain,
% 3.48/3.66 (next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0) <=> next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.48/3.66 inference(monotonicity,[status(thm)],[611, 610])).
% 3.48/3.66 tff(613,assumption,(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), introduced(assumption)).
% 3.48/3.66 tff(614,plain,
% 3.48/3.66 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 3.48/3.66 inference(symmetry,[status(thm)],[613])).
% 3.48/3.66 tff(615,plain,
% 3.48/3.66 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 3.48/3.66 inference(transitivity,[status(thm)],[614, 608, 288])).
% 3.48/3.66 tff(616,plain,
% 3.48/3.66 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.48/3.66 inference(monotonicity,[status(thm)],[615])).
% 3.48/3.66 tff(617,plain,
% 3.48/3.66 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.48/3.66 inference(symmetry,[status(thm)],[616])).
% 3.48/3.66 tff(618,plain,
% 3.48/3.66 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.48/3.66 inference(monotonicity,[status(thm)],[617])).
% 3.48/3.66 tff(619,plain,
% 3.48/3.66 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))))),
% 3.48/3.66 inference(rewrite,[status(thm)],[])).
% 3.48/3.66 tff(620,plain,
% 3.48/3.66 ((~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))) <=> (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))))),
% 3.48/3.66 inference(rewrite,[status(thm)],[])).
% 3.48/3.66 tff(621,plain,
% 3.48/3.66 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))))),
% 3.48/3.66 inference(monotonicity,[status(thm)],[620])).
% 3.48/3.66 tff(622,plain,
% 3.48/3.66 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))))),
% 3.48/3.66 inference(transitivity,[status(thm)],[621, 619])).
% 3.48/3.66 tff(623,plain,
% 3.48/3.66 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 3.48/3.66 inference(quant_inst,[status(thm)],[])).
% 3.48/3.66 tff(624,plain,
% 3.48/3.66 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))))),
% 3.48/3.66 inference(modus_ponens,[status(thm)],[623, 622])).
% 3.48/3.66 tff(625,plain,
% 3.48/3.66 (~((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))))),
% 3.48/3.66 inference(unit_resolution,[status(thm)],[624, 153])).
% 3.48/3.66 tff(626,plain,
% 3.48/3.66 (((~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 3.48/3.66 inference(tautology,[status(thm)],[])).
% 3.48/3.66 tff(627,plain,
% 3.48/3.66 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.48/3.66 inference(unit_resolution,[status(thm)],[626, 625])).
% 3.48/3.66 tff(628,plain,
% 3.48/3.66 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.48/3.66 inference(rewrite,[status(thm)],[])).
% 3.48/3.66 tff(629,plain,
% 3.48/3.66 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 3.48/3.66 inference(quant_inst,[status(thm)],[])).
% 3.48/3.66 tff(630,plain,
% 3.48/3.66 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.48/3.66 inference(modus_ponens,[status(thm)],[629, 628])).
% 3.48/3.66 tff(631,plain,
% 3.48/3.66 (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.48/3.66 inference(unit_resolution,[status(thm)],[630, 416, 517])).
% 3.48/3.66 tff(632,plain,
% 3.48/3.66 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.48/3.66 inference(tautology,[status(thm)],[])).
% 3.48/3.66 tff(633,plain,
% 3.48/3.66 ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.67 inference(unit_resolution,[status(thm)],[632, 631])).
% 3.48/3.67 tff(634,plain,
% 3.48/3.67 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 3.48/3.67 inference(tautology,[status(thm)],[])).
% 3.48/3.67 tff(635,plain,
% 3.48/3.67 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 3.48/3.67 inference(unit_resolution,[status(thm)],[634, 633])).
% 3.48/3.67 tff(636,plain,
% 3.48/3.67 (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.48/3.67 inference(unit_resolution,[status(thm)],[635, 627])).
% 3.48/3.67 tff(637,plain,
% 3.48/3.67 (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[636, 618])).
% 3.48/3.67 tff(638,plain,
% 3.48/3.67 ($false),
% 3.48/3.67 inference(unit_resolution,[status(thm)],[411, 637])).
% 3.48/3.67 tff(639,plain,(~(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 3.48/3.67 tff(640,assumption,(leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), introduced(assumption)).
% 3.48/3.67 tff(641,plain,
% 3.48/3.67 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.48/3.67 inference(rewrite,[status(thm)],[])).
% 3.48/3.67 tff(642,plain,
% 3.48/3.67 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.48/3.67 inference(rewrite,[status(thm)],[])).
% 3.48/3.67 tff(643,plain,
% 3.48/3.67 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 3.48/3.67 inference(monotonicity,[status(thm)],[642])).
% 3.48/3.67 tff(644,plain,
% 3.48/3.67 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.48/3.67 inference(transitivity,[status(thm)],[643, 641])).
% 3.48/3.67 tff(645,plain,
% 3.48/3.67 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 3.48/3.67 inference(quant_inst,[status(thm)],[])).
% 3.48/3.67 tff(646,plain,
% 3.48/3.67 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[645, 644])).
% 3.48/3.67 tff(647,plain,
% 3.48/3.67 ($false),
% 3.48/3.67 inference(unit_resolution,[status(thm)],[646, 483, 239, 424, 464, 640, 639])).
% 3.48/3.67 tff(648,plain,(~leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), inference(lemma,lemma(discharge,[]))).
% 3.48/3.67 tff(649,plain,
% 3.48/3.67 (^[X38: $i, X39: $i] : refl(((~root(X38, X39)) | legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 3.48/3.67 inference(bind,[status(th)],[])).
% 3.48/3.67 tff(650,plain,
% 3.48/3.67 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.48/3.67 inference(quant_intro,[status(thm)],[649])).
% 3.48/3.67 tff(651,plain,
% 3.48/3.67 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.48/3.67 inference(rewrite,[status(thm)],[])).
% 3.48/3.67 tff(652,plain,
% 3.48/3.67 (^[X38: $i, X39: $i] : rewrite((root(X38, X39) => legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 3.48/3.67 inference(bind,[status(th)],[])).
% 3.48/3.67 tff(653,plain,
% 3.48/3.67 (![X38: $i, X39: $i] : (root(X38, X39) => legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.48/3.67 inference(quant_intro,[status(thm)],[652])).
% 3.48/3.67 tff(654,axiom,(![X38: $i, X39: $i] : (root(X38, X39) => legal(X38))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_12')).
% 3.48/3.67 tff(655,plain,
% 3.48/3.67 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[654, 653])).
% 3.48/3.67 tff(656,plain,
% 3.48/3.67 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[655, 651])).
% 3.48/3.67 tff(657,plain,(
% 3.48/3.67 ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.48/3.67 inference(skolemize,[status(sab)],[656])).
% 3.48/3.67 tff(658,plain,
% 3.48/3.67 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[657, 650])).
% 3.48/3.67 tff(659,plain,
% 3.48/3.67 (((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) <=> ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))),
% 3.48/3.67 inference(rewrite,[status(thm)],[])).
% 3.48/3.67 tff(660,plain,
% 3.48/3.67 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))),
% 3.48/3.67 inference(quant_inst,[status(thm)],[])).
% 3.48/3.67 tff(661,plain,
% 3.48/3.67 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[660, 659])).
% 3.48/3.67 tff(662,plain,
% 3.48/3.67 (legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))),
% 3.48/3.67 inference(unit_resolution,[status(thm)],[661, 658, 580])).
% 3.48/3.67 tff(663,plain,
% 3.48/3.67 (^[X51: $i] : refl((arboreal(X51) | (~legal(X51))) <=> (arboreal(X51) | (~legal(X51))))),
% 3.48/3.67 inference(bind,[status(th)],[])).
% 3.48/3.67 tff(664,plain,
% 3.48/3.67 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.48/3.67 inference(quant_intro,[status(thm)],[663])).
% 3.48/3.67 tff(665,plain,
% 3.48/3.67 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.48/3.67 inference(rewrite,[status(thm)],[])).
% 3.48/3.67 tff(666,plain,
% 3.48/3.67 (^[X51: $i] : rewrite((legal(X51) => arboreal(X51)) <=> (arboreal(X51) | (~legal(X51))))),
% 3.48/3.67 inference(bind,[status(th)],[])).
% 3.48/3.67 tff(667,plain,
% 3.48/3.67 (![X51: $i] : (legal(X51) => arboreal(X51)) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.48/3.67 inference(quant_intro,[status(thm)],[666])).
% 3.48/3.67 tff(668,axiom,(![X51: $i] : (legal(X51) => arboreal(X51))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_17')).
% 3.48/3.67 tff(669,plain,
% 3.48/3.67 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[668, 667])).
% 3.48/3.67 tff(670,plain,
% 3.48/3.67 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[669, 665])).
% 3.48/3.67 tff(671,plain,(
% 3.48/3.67 ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.48/3.67 inference(skolemize,[status(sab)],[670])).
% 3.48/3.67 tff(672,plain,
% 3.48/3.67 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[671, 664])).
% 3.48/3.67 tff(673,plain,
% 3.48/3.67 (((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))))) <=> ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))))),
% 3.48/3.67 inference(rewrite,[status(thm)],[])).
% 3.48/3.67 tff(674,plain,
% 3.48/3.67 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))))),
% 3.48/3.67 inference(quant_inst,[status(thm)],[])).
% 3.48/3.67 tff(675,plain,
% 3.48/3.67 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))),
% 3.48/3.67 inference(modus_ponens,[status(thm)],[674, 673])).
% 3.48/3.67 tff(676,plain,
% 3.48/3.67 (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))),
% 3.48/3.67 inference(unit_resolution,[status(thm)],[675, 672, 662])).
% 3.48/3.67 tff(677,plain,
% 3.48/3.67 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)))))),
% 3.48/3.67 inference(rewrite,[status(thm)],[])).
% 3.48/3.67 tff(678,plain,
% 3.48/3.67 ((leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)))))),
% 3.48/3.68 inference(rewrite,[status(thm)],[])).
% 3.48/3.68 tff(679,plain,
% 3.48/3.68 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0))))))),
% 3.48/3.68 inference(monotonicity,[status(thm)],[678])).
% 3.48/3.68 tff(680,plain,
% 3.48/3.68 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)))))),
% 3.48/3.68 inference(transitivity,[status(thm)],[679, 677])).
% 3.48/3.68 tff(681,plain,
% 3.48/3.68 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)))))),
% 3.48/3.68 inference(quant_inst,[status(thm)],[])).
% 3.48/3.68 tff(682,plain,
% 3.48/3.68 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0))))),
% 3.48/3.68 inference(modus_ponens,[status(thm)],[681, 680])).
% 3.48/3.68 tff(683,plain,
% 3.48/3.68 (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0))))),
% 3.48/3.68 inference(unit_resolution,[status(thm)],[682, 456, 424, 578])).
% 3.48/3.68 tff(684,plain,
% 3.48/3.68 (leaf_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0))))),
% 3.48/3.68 inference(unit_resolution,[status(thm)],[683, 676])).
% 3.48/3.68 tff(685,plain,
% 3.48/3.68 (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)))),
% 3.48/3.68 inference(unit_resolution,[status(thm)],[684, 648])).
% 3.48/3.68 tff(686,plain,
% 3.48/3.68 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0))) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)),
% 3.48/3.68 inference(tautology,[status(thm)],[])).
% 3.48/3.68 tff(687,plain,
% 3.48/3.68 (next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)),
% 3.48/3.68 inference(unit_resolution,[status(thm)],[686, 685])).
% 3.48/3.68 tff(688,plain,
% 3.48/3.68 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.48/3.68 inference(modus_ponens,[status(thm)],[687, 612])).
% 3.48/3.68 tff(689,plain,
% 3.48/3.68 (next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) <=> next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.48/3.68 inference(monotonicity,[status(thm)],[611])).
% 3.48/3.68 tff(690,plain,
% 3.48/3.68 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) <=> next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.48/3.68 inference(symmetry,[status(thm)],[689])).
% 3.48/3.68 tff(691,assumption,(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)), introduced(assumption)).
% 3.48/3.68 tff(692,plain,
% 3.48/3.68 (next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.48/3.68 inference(modus_ponens,[status(thm)],[691, 690])).
% 3.48/3.68 tff(693,plain,
% 3.48/3.68 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))))))))),
% 3.48/3.68 inference(rewrite,[status(thm)],[])).
% 3.48/3.68 tff(694,plain,
% 3.48/3.68 ((~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))))))) <=> (~((~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))))))),
% 3.48/3.69 inference(rewrite,[status(thm)],[])).
% 3.48/3.69 tff(695,plain,
% 3.48/3.69 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))))))))),
% 3.48/3.69 inference(monotonicity,[status(thm)],[694])).
% 3.48/3.69 tff(696,plain,
% 3.48/3.69 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))))))))),
% 3.48/3.69 inference(transitivity,[status(thm)],[695, 693])).
% 3.48/3.69 tff(697,plain,
% 3.48/3.69 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))))))),
% 3.48/3.69 inference(quant_inst,[status(thm)],[])).
% 3.48/3.69 tff(698,plain,
% 3.48/3.69 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))))))),
% 3.48/3.69 inference(modus_ponens,[status(thm)],[697, 696])).
% 3.48/3.69 tff(699,plain,
% 3.48/3.69 (~((~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))))))),
% 3.48/3.69 inference(unit_resolution,[status(thm)],[698, 153])).
% 3.48/3.69 tff(700,plain,
% 3.48/3.69 (((~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))))),
% 3.48/3.69 inference(tautology,[status(thm)],[])).
% 3.48/3.69 tff(701,plain,
% 3.48/3.69 ((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))),
% 3.48/3.69 inference(unit_resolution,[status(thm)],[700, 699])).
% 3.48/3.69 tff(702,assumption,(~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)), introduced(assumption)).
% 3.48/3.69 tff(703,plain,
% 3.48/3.69 (((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.48/3.69 inference(tautology,[status(thm)],[])).
% 3.48/3.69 tff(704,plain,
% 3.48/3.69 ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))),
% 3.48/3.69 inference(unit_resolution,[status(thm)],[703, 702])).
% 3.48/3.69 tff(705,plain,
% 3.48/3.69 ((~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))))),
% 3.48/3.70 inference(tautology,[status(thm)],[])).
% 3.48/3.70 tff(706,plain,
% 3.48/3.70 ((~((~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))),
% 3.48/3.70 inference(unit_resolution,[status(thm)],[705, 704])).
% 3.48/3.70 tff(707,plain,
% 3.48/3.70 (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.48/3.70 inference(unit_resolution,[status(thm)],[706, 701])).
% 3.48/3.70 tff(708,plain,
% 3.48/3.70 ($false),
% 3.48/3.70 inference(unit_resolution,[status(thm)],[707, 692])).
% 3.48/3.70 tff(709,plain,((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)), inference(lemma,lemma(discharge,[]))).
% 3.48/3.70 tff(710,plain,
% 3.48/3.70 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.48/3.70 inference(unit_resolution,[status(thm)],[709, 688])).
% 3.48/3.70 tff(711,assumption,(~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)), introduced(assumption)).
% 3.48/3.70 tff(712,plain,
% 3.48/3.70 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)),
% 3.48/3.70 inference(tautology,[status(thm)],[])).
% 3.48/3.70 tff(713,plain,
% 3.48/3.70 ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))),
% 3.48/3.70 inference(unit_resolution,[status(thm)],[712, 711])).
% 3.48/3.70 tff(714,assumption,(min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)), introduced(assumption)).
% 3.48/3.70 tff(715,plain,
% 3.48/3.70 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))),
% 3.48/3.70 inference(rewrite,[status(thm)],[])).
% 3.48/3.70 tff(716,plain,
% 3.48/3.70 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))),
% 3.48/3.70 inference(quant_inst,[status(thm)],[])).
% 3.48/3.70 tff(717,plain,
% 3.48/3.70 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))),
% 3.48/3.70 inference(modus_ponens,[status(thm)],[716, 715])).
% 3.48/3.70 tff(718,plain,
% 3.48/3.70 ($false),
% 3.48/3.70 inference(unit_resolution,[status(thm)],[717, 177, 714, 713])).
% 3.48/3.70 tff(719,plain,((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)), inference(lemma,lemma(discharge,[]))).
% 3.48/3.70 tff(720,plain,
% 3.48/3.70 (occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)),
% 3.48/3.70 inference(unit_resolution,[status(thm)],[719, 710])).
% 3.48/3.70 tff(721,plain,
% 3.48/3.70 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))),
% 3.48/3.70 inference(rewrite,[status(thm)],[])).
% 3.48/3.70 tff(722,plain,
% 3.48/3.70 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))),
% 3.55/3.70 inference(rewrite,[status(thm)],[])).
% 3.55/3.70 tff(723,plain,
% 3.55/3.70 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))))),
% 3.55/3.71 inference(monotonicity,[status(thm)],[722])).
% 3.55/3.71 tff(724,plain,
% 3.55/3.71 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))),
% 3.55/3.71 inference(transitivity,[status(thm)],[723, 721])).
% 3.55/3.71 tff(725,plain,
% 3.55/3.71 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))))),
% 3.55/3.71 inference(quant_inst,[status(thm)],[])).
% 3.55/3.71 tff(726,plain,
% 3.55/3.71 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~occurrence_of(tptp_fun_X97_14(X95), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))),
% 3.55/3.71 inference(modus_ponens,[status(thm)],[725, 724])).
% 3.55/3.71 tff(727,plain,
% 3.55/3.71 (~((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[726, 85, 720])).
% 3.55/3.71 tff(728,plain,
% 3.55/3.71 (((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.55/3.71 inference(tautology,[status(thm)],[])).
% 3.55/3.71 tff(729,plain,
% 3.55/3.71 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[728, 727])).
% 3.55/3.71 tff(730,plain,
% 3.55/3.71 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34))))))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(731,plain,
% 3.55/3.72 ((~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(732,plain,
% 3.55/3.72 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34))))))))),
% 3.55/3.72 inference(monotonicity,[status(thm)],[731])).
% 3.55/3.72 tff(733,plain,
% 3.55/3.72 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34))))))))),
% 3.55/3.73 inference(transitivity,[status(thm)],[732, 730])).
% 3.55/3.73 tff(734,plain,
% 3.55/3.73 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)))))))),
% 3.55/3.73 inference(quant_inst,[status(thm)],[])).
% 3.55/3.73 tff(735,plain,
% 3.55/3.73 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))))))),
% 3.55/3.73 inference(modus_ponens,[status(thm)],[734, 733])).
% 3.55/3.73 tff(736,plain,
% 3.55/3.73 (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[735, 63])).
% 3.55/3.73 tff(737,plain,
% 3.55/3.73 (((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34))))),
% 3.55/3.73 inference(tautology,[status(thm)],[])).
% 3.55/3.73 tff(738,plain,
% 3.55/3.73 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[737, 736])).
% 3.55/3.73 tff(739,plain,
% 3.55/3.73 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[717, 177, 710])).
% 3.55/3.73 tff(740,plain,
% 3.55/3.73 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.55/3.73 inference(tautology,[status(thm)],[])).
% 3.55/3.73 tff(741,plain,
% 3.55/3.73 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[740, 739])).
% 3.55/3.73 tff(742,assumption,(![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))), introduced(assumption)).
% 3.55/3.73 tff(743,assumption,(subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))), introduced(assumption)).
% 3.55/3.73 tff(744,assumption,(occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)), introduced(assumption)).
% 3.55/3.73 tff(745,plain,
% 3.55/3.73 (((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) <=> ((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))),
% 3.55/3.74 inference(rewrite,[status(thm)],[])).
% 3.55/3.74 tff(746,plain,
% 3.55/3.74 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0))) <=> ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))),
% 3.55/3.74 inference(rewrite,[status(thm)],[])).
% 3.55/3.74 tff(747,plain,
% 3.55/3.74 (((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))),
% 3.55/3.74 inference(monotonicity,[status(thm)],[746])).
% 3.55/3.74 tff(748,plain,
% 3.55/3.74 (((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))),
% 3.55/3.74 inference(transitivity,[status(thm)],[747, 745])).
% 3.55/3.74 tff(749,plain,
% 3.55/3.74 ((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)))),
% 3.55/3.74 inference(quant_inst,[status(thm)],[])).
% 3.55/3.74 tff(750,plain,
% 3.55/3.74 ((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))),
% 3.55/3.74 inference(modus_ponens,[status(thm)],[749, 748])).
% 3.55/3.74 tff(751,plain,
% 3.55/3.74 ($false),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[750, 580, 744, 743, 742])).
% 3.55/3.74 tff(752,plain,((~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(753,plain,
% 3.55/3.74 (~![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[752, 741, 720])).
% 3.55/3.74 tff(754,plain,
% 3.55/3.74 ((~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34)))),
% 3.55/3.74 inference(tautology,[status(thm)],[])).
% 3.55/3.74 tff(755,plain,
% 3.55/3.74 ((~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[754, 753])).
% 3.55/3.74 tff(756,plain,
% 3.55/3.74 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[755, 738])).
% 3.55/3.74 tff(757,plain,
% 3.55/3.74 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(758,plain,
% 3.55/3.75 (((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(759,plain,
% 3.55/3.75 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))))),
% 3.55/3.75 inference(monotonicity,[status(thm)],[758])).
% 3.55/3.75 tff(760,plain,
% 3.55/3.75 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))),
% 3.55/3.75 inference(transitivity,[status(thm)],[759, 757])).
% 3.55/3.75 tff(761,plain,
% 3.55/3.75 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))),
% 3.55/3.75 inference(quant_inst,[status(thm)],[])).
% 3.55/3.75 tff(762,plain,
% 3.55/3.75 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))),
% 3.55/3.75 inference(modus_ponens,[status(thm)],[761, 760])).
% 3.55/3.75 tff(763,plain,
% 3.55/3.75 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[762, 224, 720, 756, 729])).
% 3.55/3.75 tff(764,plain,
% 3.55/3.75 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.55/3.75 inference(symmetry,[status(thm)],[763])).
% 3.55/3.75 tff(765,plain,
% 3.55/3.75 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.55/3.75 inference(monotonicity,[status(thm)],[764])).
% 3.55/3.75 tff(766,plain,
% 3.55/3.75 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) <=> min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.55/3.75 inference(symmetry,[status(thm)],[765])).
% 3.55/3.75 tff(767,plain,
% 3.55/3.75 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0))))))))))),
% 3.55/3.75 inference(quant_inst,[status(thm)],[])).
% 3.55/3.75 tff(768,plain,
% 3.55/3.75 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[767, 153])).
% 3.55/3.76 tff(769,plain,
% 3.55/3.76 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))))))),
% 3.55/3.76 inference(tautology,[status(thm)],[])).
% 3.55/3.76 tff(770,plain,
% 3.55/3.76 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[769, 768])).
% 3.55/3.76 tff(771,plain,
% 3.55/3.76 (((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.55/3.76 inference(tautology,[status(thm)],[])).
% 3.55/3.76 tff(772,plain,
% 3.55/3.76 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[771, 727])).
% 3.55/3.76 tff(773,plain,
% 3.55/3.76 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0))))))),
% 3.55/3.76 inference(tautology,[status(thm)],[])).
% 3.55/3.76 tff(774,plain,
% 3.55/3.76 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[773, 772])).
% 3.55/3.76 tff(775,plain,
% 3.55/3.76 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[774, 770])).
% 3.55/3.76 tff(776,plain,
% 3.55/3.76 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.55/3.76 inference(tautology,[status(thm)],[])).
% 3.55/3.76 tff(777,plain,
% 3.55/3.76 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[776, 775])).
% 3.55/3.76 tff(778,plain,
% 3.55/3.77 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[777, 766])).
% 3.55/3.77 tff(779,plain,
% 3.55/3.77 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) <=> min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.55/3.77 inference(monotonicity,[status(thm)],[763])).
% 3.55/3.77 tff(780,plain,
% 3.55/3.77 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.55/3.77 inference(symmetry,[status(thm)],[779])).
% 3.55/3.77 tff(781,plain,
% 3.55/3.77 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[710, 780])).
% 3.55/3.77 tff(782,plain,
% 3.55/3.77 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))),
% 3.55/3.77 inference(tautology,[status(thm)],[])).
% 3.55/3.77 tff(783,plain,
% 3.55/3.77 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[782, 775])).
% 3.55/3.77 tff(784,plain,
% 3.55/3.77 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(785,plain,
% 3.55/3.77 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 3.55/3.77 inference(quant_inst,[status(thm)],[])).
% 3.55/3.77 tff(786,plain,
% 3.55/3.77 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[785, 784])).
% 3.55/3.77 tff(787,plain,
% 3.55/3.77 ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[786, 783])).
% 3.55/3.77 tff(788,plain,
% 3.55/3.77 (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[787, 781])).
% 3.55/3.77 tff(789,assumption,(min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)), introduced(assumption)).
% 3.55/3.77 tff(790,plain,
% 3.55/3.77 (next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[688, 690])).
% 3.55/3.77 tff(791,plain,
% 3.55/3.77 (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[705, 790, 701])).
% 3.55/3.77 tff(792,plain,
% 3.55/3.77 (((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))),
% 3.55/3.77 inference(tautology,[status(thm)],[])).
% 3.55/3.77 tff(793,plain,
% 3.55/3.77 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[792, 791])).
% 3.55/3.77 tff(794,plain,
% 3.55/3.77 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))) | ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(795,plain,
% 3.55/3.77 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))) | ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))),
% 3.62/3.77 inference(quant_inst,[status(thm)],[])).
% 3.62/3.77 tff(796,plain,
% 3.62/3.77 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), X18, tptp0)))) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0))),
% 3.62/3.77 inference(modus_ponens,[status(thm)],[795, 794])).
% 3.62/3.77 tff(797,plain,
% 3.62/3.77 ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0))),
% 3.62/3.77 inference(unit_resolution,[status(thm)],[796, 793])).
% 3.62/3.77 tff(798,plain,
% 3.62/3.77 (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 3.62/3.77 inference(unit_resolution,[status(thm)],[797, 789])).
% 3.62/3.77 tff(799,assumption,(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))), introduced(assumption)).
% 3.62/3.77 tff(800,plain,
% 3.62/3.77 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3) <=> occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)),
% 3.62/3.77 inference(monotonicity,[status(thm)],[799])).
% 3.62/3.77 tff(801,plain,
% 3.62/3.77 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3) <=> occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)),
% 3.62/3.77 inference(symmetry,[status(thm)],[800])).
% 3.62/3.77 tff(802,plain,
% 3.62/3.77 (((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)),
% 3.62/3.77 inference(tautology,[status(thm)],[])).
% 3.62/3.77 tff(803,plain,
% 3.62/3.77 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)),
% 3.62/3.77 inference(unit_resolution,[status(thm)],[802, 727])).
% 3.62/3.77 tff(804,plain,
% 3.62/3.77 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)),
% 3.62/3.77 inference(modus_ponens,[status(thm)],[803, 801])).
% 3.62/3.77 tff(805,plain,
% 3.62/3.77 (occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1) <=> occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)),
% 3.62/3.77 inference(monotonicity,[status(thm)],[610])).
% 3.62/3.77 tff(806,plain,
% 3.62/3.77 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp0))) | occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)),
% 3.62/3.77 inference(tautology,[status(thm)],[])).
% 3.62/3.77 tff(807,plain,
% 3.62/3.77 (occurrence_of(tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)), tptp1)),
% 3.62/3.77 inference(unit_resolution,[status(thm)],[806, 685])).
% 3.62/3.77 tff(808,plain,
% 3.62/3.77 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)),
% 3.62/3.77 inference(modus_ponens,[status(thm)],[807, 805])).
% 3.62/3.77 tff(809,plain,
% 3.62/3.77 ((~(tptp1 = tptp3)) <=> (~(tptp1 = tptp3))),
% 3.62/3.77 inference(rewrite,[status(thm)],[])).
% 3.62/3.77 tff(810,axiom,(~(tptp1 = tptp3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_42')).
% 3.62/3.77 tff(811,plain,
% 3.62/3.77 (~(tptp1 = tptp3)),
% 3.62/3.77 inference(modus_ponens,[status(thm)],[810, 809])).
% 3.62/3.77 tff(812,plain,
% 3.62/3.77 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)))),
% 3.62/3.78 inference(rewrite,[status(thm)],[])).
% 3.62/3.78 tff(813,plain,
% 3.62/3.78 (((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1))) <=> ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)))),
% 3.62/3.78 inference(rewrite,[status(thm)],[])).
% 3.62/3.78 tff(814,plain,
% 3.62/3.78 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3))))),
% 3.62/3.78 inference(monotonicity,[status(thm)],[813])).
% 3.62/3.78 tff(815,plain,
% 3.62/3.78 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)))),
% 3.62/3.78 inference(transitivity,[status(thm)],[814, 812])).
% 3.62/3.78 tff(816,plain,
% 3.62/3.78 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)))),
% 3.62/3.78 inference(quant_inst,[status(thm)],[])).
% 3.62/3.78 tff(817,plain,
% 3.62/3.78 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3))),
% 3.62/3.78 inference(modus_ponens,[status(thm)],[816, 815])).
% 3.62/3.78 tff(818,plain,
% 3.62/3.78 (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp3)),
% 3.62/3.78 inference(unit_resolution,[status(thm)],[817, 109, 811, 808])).
% 3.62/3.78 tff(819,plain,
% 3.62/3.78 ($false),
% 3.62/3.78 inference(unit_resolution,[status(thm)],[818, 804])).
% 3.62/3.78 tff(820,plain,(~(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 3.62/3.78 tff(821,plain,
% 3.62/3.78 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X37)))))))),
% 3.62/3.78 inference(quant_inst,[status(thm)],[])).
% 3.62/3.78 tff(822,plain,
% 3.62/3.78 (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X37))))))),
% 3.62/3.78 inference(unit_resolution,[status(thm)],[821, 354])).
% 3.62/3.78 tff(823,plain,
% 3.62/3.78 (((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), X37)))))) | ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))))),
% 3.62/3.78 inference(tautology,[status(thm)],[])).
% 3.62/3.78 tff(824,plain,
% 3.62/3.78 ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))))),
% 3.62/3.78 inference(unit_resolution,[status(thm)],[823, 822])).
% 3.62/3.78 tff(825,plain,
% 3.62/3.78 (((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp4)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.62/3.78 inference(tautology,[status(thm)],[])).
% 3.62/3.78 tff(826,plain,
% 3.62/3.78 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.62/3.78 inference(unit_resolution,[status(thm)],[825, 727])).
% 3.62/3.78 tff(827,plain,
% 3.62/3.78 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))))),
% 3.62/3.79 inference(tautology,[status(thm)],[])).
% 3.62/3.79 tff(828,plain,
% 3.62/3.79 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))))),
% 3.62/3.79 inference(unit_resolution,[status(thm)],[827, 826])).
% 3.62/3.79 tff(829,plain,
% 3.62/3.79 (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))),
% 3.62/3.79 inference(unit_resolution,[status(thm)],[828, 824])).
% 3.62/3.79 tff(830,plain,
% 3.62/3.79 (((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))) | subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.62/3.79 inference(tautology,[status(thm)],[])).
% 3.62/3.79 tff(831,plain,
% 3.62/3.79 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.62/3.79 inference(unit_resolution,[status(thm)],[830, 829])).
% 3.62/3.79 tff(832,plain,
% 3.62/3.79 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))))),
% 3.62/3.79 inference(rewrite,[status(thm)],[])).
% 3.62/3.79 tff(833,plain,
% 3.62/3.79 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))))),
% 3.62/3.79 inference(quant_inst,[status(thm)],[])).
% 3.62/3.79 tff(834,plain,
% 3.62/3.79 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))))),
% 3.62/3.79 inference(modus_ponens,[status(thm)],[833, 832])).
% 3.62/3.79 tff(835,plain,
% 3.62/3.79 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))))),
% 3.62/3.79 inference(unit_resolution,[status(thm)],[834, 437, 772])).
% 3.62/3.79 tff(836,plain,
% 3.62/3.79 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) | arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))),
% 3.62/3.79 inference(tautology,[status(thm)],[])).
% 3.62/3.79 tff(837,plain,
% 3.62/3.79 (arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))),
% 3.62/3.79 inference(unit_resolution,[status(thm)],[836, 835])).
% 3.62/3.79 tff(838,plain,
% 3.62/3.79 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.62/3.79 inference(tautology,[status(thm)],[])).
% 3.62/3.79 tff(839,plain,
% 3.62/3.79 (subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))),
% 3.62/3.79 inference(unit_resolution,[status(thm)],[838, 739])).
% 3.62/3.79 tff(840,plain,
% 3.62/3.79 (^[X40: $i, X41: $i] : refl(((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 3.62/3.79 inference(bind,[status(th)],[])).
% 3.62/3.79 tff(841,plain,
% 3.62/3.79 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 3.62/3.79 inference(quant_intro,[status(thm)],[840])).
% 3.62/3.79 tff(842,plain,
% 3.62/3.79 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 3.62/3.79 inference(rewrite,[status(thm)],[])).
% 3.62/3.79 tff(843,plain,
% 3.62/3.79 (^[X40: $i, X41: $i] : rewrite((occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 3.62/3.79 inference(bind,[status(th)],[])).
% 3.62/3.79 tff(844,plain,
% 3.62/3.79 (![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 3.62/3.79 inference(quant_intro,[status(thm)],[843])).
% 3.62/3.79 tff(845,axiom,(![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_13')).
% 3.62/3.79 tff(846,plain,
% 3.62/3.79 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 3.62/3.79 inference(modus_ponens,[status(thm)],[845, 844])).
% 3.62/3.79 tff(847,plain,
% 3.62/3.79 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 3.62/3.79 inference(modus_ponens,[status(thm)],[846, 842])).
% 3.62/3.79 tff(848,plain,(
% 3.62/3.79 ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 3.62/3.79 inference(skolemize,[status(sab)],[847])).
% 3.62/3.79 tff(849,plain,
% 3.62/3.79 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 3.62/3.79 inference(modus_ponens,[status(thm)],[848, 841])).
% 3.62/3.79 tff(850,plain,
% 3.62/3.79 (((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)))) <=> ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)))),
% 3.62/3.80 inference(rewrite,[status(thm)],[])).
% 3.62/3.80 tff(851,plain,
% 3.62/3.80 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)))),
% 3.62/3.80 inference(quant_inst,[status(thm)],[])).
% 3.62/3.80 tff(852,plain,
% 3.62/3.80 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1))),
% 3.62/3.80 inference(modus_ponens,[status(thm)],[851, 850])).
% 3.62/3.80 tff(853,plain,
% 3.62/3.80 (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)),
% 3.62/3.80 inference(unit_resolution,[status(thm)],[852, 849, 808])).
% 3.62/3.80 tff(854,plain,
% 3.62/3.80 (atomic(tptp1) <=> atomic(tptp1)),
% 3.62/3.80 inference(rewrite,[status(thm)],[])).
% 3.62/3.80 tff(855,axiom,(atomic(tptp1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_38')).
% 3.62/3.80 tff(856,plain,
% 3.62/3.80 (atomic(tptp1)),
% 3.62/3.80 inference(modus_ponens,[status(thm)],[855, 854])).
% 3.62/3.80 tff(857,plain,
% 3.62/3.80 ((~(arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1))) | arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~atomic(tptp1))),
% 3.62/3.80 inference(tautology,[status(thm)],[])).
% 3.62/3.80 tff(858,plain,
% 3.62/3.80 ((~(arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1))) | arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.62/3.80 inference(unit_resolution,[status(thm)],[857, 856])).
% 3.62/3.80 tff(859,plain,
% 3.62/3.80 (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 3.62/3.80 inference(unit_resolution,[status(thm)],[858, 853])).
% 3.62/3.80 tff(860,plain,
% 3.62/3.80 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0))),
% 3.62/3.80 inference(rewrite,[status(thm)],[])).
% 3.62/3.80 tff(861,plain,
% 3.62/3.80 (((tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) <=> ((~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0))),
% 3.62/3.80 inference(rewrite,[status(thm)],[])).
% 3.62/3.80 tff(862,plain,
% 3.62/3.80 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)))),
% 3.62/3.80 inference(monotonicity,[status(thm)],[861])).
% 3.62/3.80 tff(863,plain,
% 3.62/3.80 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0))),
% 3.62/3.80 inference(transitivity,[status(thm)],[862, 860])).
% 3.62/3.80 tff(864,plain,
% 3.62/3.80 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))))),
% 3.62/3.81 inference(quant_inst,[status(thm)],[])).
% 3.62/3.81 tff(865,plain,
% 3.62/3.81 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)),
% 3.62/3.81 inference(modus_ponens,[status(thm)],[864, 863])).
% 3.62/3.81 tff(866,plain,
% 3.62/3.81 ($false),
% 3.62/3.81 inference(unit_resolution,[status(thm)],[865, 561, 720, 859, 839, 837, 831, 820, 798, 788])).
% 3.62/3.81 tff(867,plain,(~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0), tptp0)), tptp0)), inference(lemma,lemma(discharge,[]))).
% 3.62/3.81 tff(868,plain,
% 3.62/3.81 ($false),
% 3.62/3.81 inference(unit_resolution,[status(thm)],[867, 778])).
% 3.62/3.81 % SZS output end Proof
% 3.62/3.81 % E exiting
%------------------------------------------------------------------------------