%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO003+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:23:00 AM UTC 2025
% Result : Theorem 8.32s 8.50s
% Output : Proof 8.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO003+2 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 02:29:50 EDT 2025
% 0.12/0.33 % CPUTime :
% 8.32/8.50 % SZS status Theorem
% 8.32/8.50 % SZS output start Proof
% 8.32/8.50 tff(subactivity_occurrence_type, type, (
% 8.32/8.50 subactivity_occurrence: ( $i * $i ) > $o)).
% 8.32/8.50 tff(tptp_fun_X73_8_type, type, (
% 8.32/8.50 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 8.32/8.50 tff(tptp0_type, type, (
% 8.32/8.50 tptp0: $i)).
% 8.32/8.50 tff(tptp_fun_X96_15_type, type, (
% 8.32/8.50 tptp_fun_X96_15: $i > $i)).
% 8.32/8.50 tff(tptp_fun_X101_17_type, type, (
% 8.32/8.50 tptp_fun_X101_17: $i)).
% 8.32/8.50 tff(tptp_fun_X97_14_type, type, (
% 8.32/8.50 tptp_fun_X97_14: $i > $i)).
% 8.32/8.50 tff(tptp_fun_X100_16_type, type, (
% 8.32/8.50 tptp_fun_X100_16: $i > $i)).
% 8.32/8.50 tff(tptp_fun_X93_13_type, type, (
% 8.32/8.50 tptp_fun_X93_13: ( $i * $i ) > $i)).
% 8.32/8.50 tff(root_occ_type, type, (
% 8.32/8.50 root_occ: ( $i * $i ) > $o)).
% 8.32/8.50 tff(root_type, type, (
% 8.32/8.50 root: ( $i * $i ) > $o)).
% 8.32/8.50 tff(occurrence_of_type, type, (
% 8.32/8.50 occurrence_of: ( $i * $i ) > $o)).
% 8.32/8.50 tff(atomic_type, type, (
% 8.32/8.50 atomic: $i > $o)).
% 8.32/8.50 tff(tptp_fun_X34_1_type, type, (
% 8.32/8.50 tptp_fun_X34_1: ( $i * $i ) > $i)).
% 8.32/8.50 tff(next_subocc_type, type, (
% 8.32/8.50 next_subocc: ( $i * $i * $i ) > $o)).
% 8.32/8.50 tff(leaf_occ_type, type, (
% 8.32/8.50 leaf_occ: ( $i * $i ) > $o)).
% 8.32/8.50 tff(tptp3_type, type, (
% 8.32/8.50 tptp3: $i)).
% 8.32/8.50 tff(tptp4_type, type, (
% 8.32/8.50 tptp4: $i)).
% 8.32/8.50 tff(min_precedes_type, type, (
% 8.32/8.50 min_precedes: ( $i * $i * $i ) > $o)).
% 8.32/8.50 tff(tptp_fun_X44_3_type, type, (
% 8.32/8.50 tptp_fun_X44_3: ( $i * $i ) > $i)).
% 8.32/8.50 tff(tptp_fun_X37_2_type, type, (
% 8.32/8.50 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 8.32/8.50 tff(leaf_type, type, (
% 8.32/8.50 leaf: ( $i * $i ) > $o)).
% 8.32/8.50 tff(tptp_fun_X53_6_type, type, (
% 8.32/8.50 tptp_fun_X53_6: $i > $i)).
% 8.32/8.50 tff(activity_type, type, (
% 8.32/8.50 activity: $i > $o)).
% 8.32/8.50 tff(activity_occurrence_type, type, (
% 8.32/8.50 activity_occurrence: $i > $o)).
% 8.32/8.50 tff(tptp_fun_X45_4_type, type, (
% 8.32/8.50 tptp_fun_X45_4: ( $i * $i ) > $i)).
% 8.32/8.50 tff(tptp_fun_X18_0_type, type, (
% 8.32/8.50 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 8.32/8.50 tff(arboreal_type, type, (
% 8.32/8.50 arboreal: $i > $o)).
% 8.32/8.50 tff(legal_type, type, (
% 8.32/8.50 legal: $i > $o)).
% 8.32/8.50 tff(tptp1_type, type, (
% 8.32/8.50 tptp1: $i)).
% 8.32/8.50 tff(1,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)).
% 8.32/8.50 tff(2,plain,
% 8.32/8.50 (?[X101: $i] : occurrence_of(X101, tptp0) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(3,plain,
% 8.32/8.50 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(4,plain,
% 8.32/8.50 ((~?[X101: $i] : occurrence_of(X101, tptp0)) <=> (~?[X101: $i] : occurrence_of(X101, tptp0))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(5,plain,
% 8.32/8.50 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> (~(~?[X101: $i] : occurrence_of(X101, tptp0)))),
% 8.32/8.50 inference(monotonicity,[status(thm)],[4])).
% 8.32/8.50 tff(6,plain,
% 8.32/8.50 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 8.32/8.50 inference(transitivity,[status(thm)],[5, 3])).
% 8.32/8.50 tff(7,axiom,(~(~?[X101: $i] : occurrence_of(X101, tptp0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 8.32/8.50 tff(8,plain,
% 8.32/8.50 (?[X101: $i] : occurrence_of(X101, tptp0)),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[7, 6])).
% 8.32/8.50 tff(9,plain,
% 8.32/8.50 (?[X101: $i] : occurrence_of(X101, tptp0)),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[8, 2])).
% 8.32/8.50 tff(10,plain,(
% 8.32/8.50 occurrence_of(X101!17, tptp0)),
% 8.32/8.50 inference(skolemize,[status(sab)],[9])).
% 8.32/8.50 tff(11,plain,
% 8.32/8.50 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(12,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 8.32/8.50 tff(13,plain,
% 8.32/8.50 (~atomic(tptp0)),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[12, 11])).
% 8.32/8.50 tff(14,plain,
% 8.32/8.50 (^[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))))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(15,plain,
% 8.32/8.50 (![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)))))),
% 8.32/8.50 inference(quant_intro,[status(thm)],[14])).
% 8.32/8.50 tff(16,plain,
% 8.32/8.50 (^[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)))))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(17,plain,
% 8.32/8.50 (![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)))))),
% 8.32/8.50 inference(quant_intro,[status(thm)],[16])).
% 8.32/8.50 tff(18,plain,
% 8.32/8.50 (![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)))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(19,plain,
% 8.32/8.50 (^[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))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(20,plain,
% 8.32/8.50 (![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)))),
% 8.32/8.50 inference(quant_intro,[status(thm)],[19])).
% 8.32/8.50 tff(21,axiom,(![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_30')).
% 8.32/8.50 tff(22,plain,
% 8.32/8.50 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[21, 20])).
% 8.32/8.50 tff(23,plain,
% 8.32/8.50 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[22, 18])).
% 8.32/8.50 tff(24,plain,(
% 8.32/8.50 ![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)))),
% 8.32/8.50 inference(skolemize,[status(sab)],[23])).
% 8.32/8.50 tff(25,plain,
% 8.32/8.50 (![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)))))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[24, 17])).
% 8.32/8.50 tff(26,plain,
% 8.32/8.50 (![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)))))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[25, 15])).
% 8.32/8.50 tff(27,plain,
% 8.32/8.50 (((~![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)))))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(28,plain,
% 8.32/8.50 ((~![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)))))),
% 8.32/8.50 inference(quant_inst,[status(thm)],[])).
% 8.32/8.50 tff(29,plain,
% 8.32/8.50 ((~![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))))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[28, 27])).
% 8.32/8.50 tff(30,plain,
% 8.32/8.50 (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 8.32/8.50 inference(unit_resolution,[status(thm)],[29, 26, 13, 10])).
% 8.32/8.50 tff(31,plain,
% 8.32/8.50 (((~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)),
% 8.32/8.50 inference(tautology,[status(thm)],[])).
% 8.32/8.50 tff(32,plain,
% 8.32/8.50 (subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)),
% 8.32/8.50 inference(unit_resolution,[status(thm)],[31, 30])).
% 8.32/8.50 tff(33,plain,
% 8.32/8.50 (((~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)),
% 8.32/8.50 inference(tautology,[status(thm)],[])).
% 8.32/8.50 tff(34,plain,
% 8.32/8.50 (root(tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 8.32/8.50 inference(unit_resolution,[status(thm)],[33, 30])).
% 8.32/8.50 tff(35,plain,
% 8.32/8.50 (((~![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)))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(36,plain,
% 8.32/8.50 (((~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)))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(37,plain,
% 8.32/8.50 (((~![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))))),
% 8.32/8.50 inference(monotonicity,[status(thm)],[36])).
% 8.32/8.50 tff(38,plain,
% 8.32/8.50 (((~![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)))),
% 8.32/8.50 inference(transitivity,[status(thm)],[37, 35])).
% 8.32/8.50 tff(39,plain,
% 8.32/8.50 ((~![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)))),
% 8.32/8.50 inference(quant_inst,[status(thm)],[])).
% 8.32/8.50 tff(40,plain,
% 8.32/8.50 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[39, 38])).
% 8.32/8.50 tff(41,plain,
% 8.32/8.50 ($false),
% 8.32/8.50 inference(unit_resolution,[status(thm)],[40, 10, 34, 32, 1])).
% 8.32/8.50 tff(42,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,[]))).
% 8.32/8.50 tff(43,plain,
% 8.32/8.50 (^[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))))))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(44,plain,
% 8.32/8.50 (![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)))))))),
% 8.32/8.50 inference(quant_intro,[status(thm)],[43])).
% 8.32/8.50 tff(45,plain,
% 8.32/8.50 (^[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))))))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(46,plain,
% 8.32/8.50 (![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)))))))),
% 8.32/8.50 inference(quant_intro,[status(thm)],[45])).
% 8.32/8.50 tff(47,plain,
% 8.32/8.50 (![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)))))))),
% 8.32/8.50 inference(transitivity,[status(thm)],[46, 44])).
% 8.32/8.50 tff(48,plain,
% 8.32/8.50 (^[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)))))))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(49,plain,
% 8.32/8.50 (![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)))))))),
% 8.32/8.50 inference(quant_intro,[status(thm)],[48])).
% 8.32/8.50 tff(50,plain,
% 8.32/8.50 (![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)))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(51,plain,
% 8.32/8.50 (^[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))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(52,plain,
% 8.32/8.50 (![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)))),
% 8.32/8.50 inference(quant_intro,[status(thm)],[51])).
% 8.32/8.50 tff(53,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/sandbox2/benchmark/theBenchmark.p','sos_10')).
% 8.32/8.50 tff(54,plain,
% 8.32/8.50 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[53, 52])).
% 8.32/8.50 tff(55,plain,
% 8.32/8.50 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[54, 50])).
% 8.32/8.50 tff(56,plain,(
% 8.32/8.50 ![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)))))),
% 8.32/8.50 inference(skolemize,[status(sab)],[55])).
% 8.32/8.50 tff(57,plain,
% 8.32/8.50 (![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)))))))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[56, 49])).
% 8.32/8.50 tff(58,plain,
% 8.32/8.50 (![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)))))))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[57, 47])).
% 8.32/8.50 tff(59,plain,
% 8.32/8.50 (((~![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))))))))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(60,plain,
% 8.32/8.50 ((~((~((~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)))))))),
% 8.32/8.50 inference(rewrite,[status(thm)],[])).
% 8.32/8.50 tff(61,plain,
% 8.32/8.50 (((~![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))))))))),
% 8.32/8.50 inference(monotonicity,[status(thm)],[60])).
% 8.32/8.50 tff(62,plain,
% 8.32/8.50 (((~![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))))))))),
% 8.32/8.50 inference(transitivity,[status(thm)],[61, 59])).
% 8.32/8.50 tff(63,plain,
% 8.32/8.50 ((~![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)))))))),
% 8.32/8.50 inference(quant_inst,[status(thm)],[])).
% 8.32/8.50 tff(64,plain,
% 8.32/8.50 ((~![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)))))))),
% 8.32/8.50 inference(modus_ponens,[status(thm)],[63, 62])).
% 8.32/8.50 tff(65,plain,
% 8.32/8.50 (~((~((~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))))))),
% 8.32/8.50 inference(unit_resolution,[status(thm)],[64, 58])).
% 8.32/8.50 tff(66,plain,
% 8.32/8.50 (((~((~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))))),
% 8.32/8.50 inference(tautology,[status(thm)],[])).
% 8.32/8.50 tff(67,plain,
% 8.32/8.50 (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)))),
% 8.32/8.50 inference(unit_resolution,[status(thm)],[66, 65])).
% 8.32/8.50 tff(68,plain,
% 8.32/8.50 ((~(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)))),
% 8.32/8.50 inference(tautology,[status(thm)],[])).
% 8.32/8.50 tff(69,plain,
% 8.32/8.50 (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)))),
% 8.32/8.50 inference(unit_resolution,[status(thm)],[68, 67])).
% 8.32/8.50 tff(70,plain,
% 8.32/8.50 (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)),
% 8.32/8.50 inference(unit_resolution,[status(thm)],[69, 42])).
% 8.32/8.50 tff(71,plain,
% 8.32/8.50 (^[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))))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(72,plain,
% 8.32/8.50 (![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))))) <=> ![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)))))),
% 8.32/8.50 inference(quant_intro,[status(thm)],[71])).
% 8.32/8.50 tff(73,plain,
% 8.32/8.50 (^[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))))))),
% 8.32/8.50 inference(bind,[status(th)],[])).
% 8.32/8.50 tff(74,plain,
% 8.32/8.50 (![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))) <=> ![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)))))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[73])).
% 8.32/8.51 tff(75,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(76,plain,
% 8.32/8.51 (^[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)))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(77,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[76])).
% 8.32/8.51 tff(78,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/sandbox2/benchmark/theBenchmark.p','sos_32')).
% 8.32/8.51 tff(79,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[78, 77])).
% 8.32/8.51 tff(80,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[79, 75])).
% 8.32/8.51 tff(81,plain,(
% 8.32/8.51 ![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)))),
% 8.32/8.51 inference(skolemize,[status(sab)],[80])).
% 8.32/8.51 tff(82,plain,
% 8.32/8.51 (![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)))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[81, 74])).
% 8.32/8.51 tff(83,plain,
% 8.32/8.51 (![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)))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[82, 72])).
% 8.32/8.51 tff(84,plain,
% 8.32/8.51 (((~![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(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)))))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(85,plain,
% 8.32/8.51 ((~![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(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)))))),
% 8.32/8.51 inference(quant_inst,[status(thm)],[])).
% 8.32/8.51 tff(86,plain,
% 8.32/8.51 ((~![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(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))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[85, 84])).
% 8.32/8.51 tff(87,plain,
% 8.32/8.51 (~((~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)))),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[86, 83, 10])).
% 8.32/8.51 tff(88,plain,
% 8.32/8.51 (((~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)),
% 8.32/8.51 inference(tautology,[status(thm)],[])).
% 8.32/8.51 tff(89,plain,
% 8.32/8.51 (root_occ(tptp_fun_X96_15(X101!17), X101!17)),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[88, 87])).
% 8.32/8.51 tff(90,plain,
% 8.32/8.51 (^[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))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(91,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[90])).
% 8.32/8.51 tff(92,plain,
% 8.32/8.51 (^[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)))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(93,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[92])).
% 8.32/8.51 tff(94,plain,
% 8.32/8.51 (![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))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(95,plain,
% 8.32/8.51 (^[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))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(96,plain,
% 8.32/8.51 (![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))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[95])).
% 8.32/8.51 tff(97,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/sandbox2/benchmark/theBenchmark.p','sos_02')).
% 8.32/8.51 tff(98,plain,
% 8.32/8.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[97, 96])).
% 8.32/8.51 tff(99,plain,
% 8.32/8.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[98, 94])).
% 8.32/8.51 tff(100,plain,(
% 8.32/8.51 ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 8.32/8.51 inference(skolemize,[status(sab)],[99])).
% 8.32/8.51 tff(101,plain,
% 8.32/8.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[100, 93])).
% 8.32/8.51 tff(102,plain,
% 8.32/8.51 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[101, 91])).
% 8.32/8.51 tff(103,plain,
% 8.32/8.51 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(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_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(104,plain,
% 8.32/8.51 (((tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17))) <=> ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(105,plain,
% 8.32/8.51 (((~![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(X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(X101!17), 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_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17))))),
% 8.32/8.51 inference(monotonicity,[status(thm)],[104])).
% 8.32/8.51 tff(106,plain,
% 8.32/8.51 (((~![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(X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(X101!17), 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_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)))),
% 8.32/8.51 inference(transitivity,[status(thm)],[105, 103])).
% 8.32/8.51 tff(107,plain,
% 8.32/8.51 ((~![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(X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)))),
% 8.32/8.51 inference(quant_inst,[status(thm)],[])).
% 8.32/8.51 tff(108,plain,
% 8.32/8.51 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[107, 106])).
% 8.32/8.51 tff(109,plain,
% 8.32/8.51 (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[108, 102, 10, 89, 70])).
% 8.32/8.51 tff(110,plain,
% 8.32/8.51 (tptp_fun_X96_15(X101!17) = tptp_fun_X93_13(X101!17, tptp0)),
% 8.32/8.51 inference(symmetry,[status(thm)],[109])).
% 8.32/8.51 tff(111,plain,
% 8.32/8.51 (tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X100_16(tptp_fun_X93_13(X101!17, tptp0))),
% 8.32/8.51 inference(monotonicity,[status(thm)],[110])).
% 8.32/8.51 tff(112,plain,
% 8.32/8.51 (tptp_fun_X100_16(tptp_fun_X93_13(X101!17, tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(X101!17))),
% 8.32/8.51 inference(symmetry,[status(thm)],[111])).
% 8.32/8.51 tff(113,assumption,(![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))), introduced(assumption)).
% 8.32/8.51 tff(114,plain,
% 8.32/8.51 (subactivity_occurrence(tptp_fun_X93_13(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_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(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(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))),
% 8.32/8.51 inference(monotonicity,[status(thm)],[109])).
% 8.32/8.51 tff(115,plain,
% 8.32/8.51 (subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(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)) <=> subactivity_occurrence(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.32/8.51 inference(symmetry,[status(thm)],[114])).
% 8.32/8.51 tff(116,plain,
% 8.32/8.51 (min_precedes(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)), tptp0) <=> min_precedes(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)), tptp0)),
% 8.32/8.51 inference(monotonicity,[status(thm)],[109])).
% 8.32/8.51 tff(117,plain,
% 8.32/8.51 (min_precedes(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)), tptp0) <=> min_precedes(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)), tptp0)),
% 8.32/8.51 inference(symmetry,[status(thm)],[116])).
% 8.32/8.51 tff(118,plain,
% 8.32/8.51 ((~min_precedes(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)), tptp0)) <=> (~min_precedes(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)), tptp0))),
% 8.32/8.51 inference(monotonicity,[status(thm)],[117])).
% 8.32/8.51 tff(119,assumption,(![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))), introduced(assumption)).
% 8.32/8.51 tff(120,plain,
% 8.32/8.51 (^[X89: $i, X90: $i] : refl(((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(121,plain,
% 8.32/8.51 (![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)))))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[120])).
% 8.32/8.51 tff(122,plain,
% 8.32/8.51 (^[X89: $i, X90: $i] : rewrite(((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(123,plain,
% 8.32/8.51 (![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)))))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[122])).
% 8.32/8.51 tff(124,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(125,plain,
% 8.32/8.51 (^[X89: $i, X90: $i] : rewrite((occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(126,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[125])).
% 8.32/8.51 tff(127,axiom,(![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_29')).
% 8.32/8.51 tff(128,plain,
% 8.32/8.51 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[127, 126])).
% 8.32/8.51 tff(129,plain,
% 8.32/8.51 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[128, 124])).
% 8.32/8.51 tff(130,plain,(
% 8.32/8.51 ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 8.32/8.51 inference(skolemize,[status(sab)],[129])).
% 8.32/8.51 tff(131,plain,
% 8.32/8.51 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[130, 123])).
% 8.32/8.51 tff(132,plain,
% 8.32/8.51 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[131, 121])).
% 8.32/8.51 tff(133,plain,
% 8.32/8.51 (((~![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)))))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(134,plain,
% 8.32/8.51 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))),
% 8.32/8.51 inference(quant_inst,[status(thm)],[])).
% 8.32/8.51 tff(135,plain,
% 8.32/8.51 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[134, 133])).
% 8.32/8.51 tff(136,plain,
% 8.32/8.51 (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[135, 132, 10])).
% 8.32/8.51 tff(137,plain,
% 8.32/8.51 (((~activity(tptp0)) | (~activity_occurrence(X101!17))) | activity_occurrence(X101!17)),
% 8.32/8.51 inference(tautology,[status(thm)],[])).
% 8.32/8.51 tff(138,plain,
% 8.32/8.51 (activity_occurrence(X101!17)),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[137, 136])).
% 8.32/8.51 tff(139,plain,
% 8.32/8.51 (^[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)))))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(140,plain,
% 8.32/8.51 (![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))))))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[139])).
% 8.32/8.51 tff(141,plain,
% 8.32/8.51 (^[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)))))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(142,plain,
% 8.32/8.51 (![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))))))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[141])).
% 8.32/8.51 tff(143,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(144,plain,
% 8.32/8.51 (^[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))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(145,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[144])).
% 8.32/8.51 tff(146,axiom,(![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_18')).
% 8.32/8.51 tff(147,plain,
% 8.32/8.51 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[146, 145])).
% 8.32/8.51 tff(148,plain,
% 8.32/8.51 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[147, 143])).
% 8.32/8.51 tff(149,plain,(
% 8.32/8.51 ![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52))))),
% 8.32/8.51 inference(skolemize,[status(sab)],[148])).
% 8.32/8.51 tff(150,plain,
% 8.32/8.51 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[149, 142])).
% 8.32/8.51 tff(151,plain,
% 8.32/8.51 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[150, 140])).
% 8.32/8.51 tff(152,plain,
% 8.32/8.51 (((~![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))))))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(153,plain,
% 8.32/8.51 ((~![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))))))),
% 8.32/8.51 inference(quant_inst,[status(thm)],[])).
% 8.32/8.51 tff(154,plain,
% 8.32/8.51 ((~![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)))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[153, 152])).
% 8.32/8.51 tff(155,plain,
% 8.32/8.51 (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[154, 151, 138])).
% 8.32/8.51 tff(156,plain,
% 8.32/8.51 (((~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))),
% 8.32/8.51 inference(tautology,[status(thm)],[])).
% 8.32/8.51 tff(157,plain,
% 8.32/8.51 (occurrence_of(X101!17, tptp_fun_X53_6(X101!17))),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[156, 155])).
% 8.32/8.51 tff(158,plain,
% 8.32/8.51 (^[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))))))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(159,plain,
% 8.32/8.51 (![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)))))))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[158])).
% 8.32/8.51 tff(160,plain,
% 8.32/8.51 (^[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))))))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(161,plain,
% 8.32/8.51 (![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)))))))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[160])).
% 8.32/8.51 tff(162,plain,
% 8.32/8.51 (![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)))))))),
% 8.32/8.51 inference(transitivity,[status(thm)],[161, 159])).
% 8.32/8.51 tff(163,plain,
% 8.32/8.51 (^[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)))))))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(164,plain,
% 8.32/8.51 (![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)))))))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[163])).
% 8.32/8.51 tff(165,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(166,plain,
% 8.32/8.51 (^[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))))),
% 8.32/8.51 inference(bind,[status(th)],[])).
% 8.32/8.51 tff(167,plain,
% 8.32/8.51 (![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)))),
% 8.32/8.51 inference(quant_intro,[status(thm)],[166])).
% 8.32/8.51 tff(168,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/sandbox2/benchmark/theBenchmark.p','sos_11')).
% 8.32/8.51 tff(169,plain,
% 8.32/8.51 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[168, 167])).
% 8.32/8.51 tff(170,plain,
% 8.32/8.51 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[169, 165])).
% 8.32/8.51 tff(171,plain,(
% 8.32/8.51 ![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)))))),
% 8.32/8.51 inference(skolemize,[status(sab)],[170])).
% 8.32/8.51 tff(172,plain,
% 8.32/8.51 (![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)))))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[171, 164])).
% 8.32/8.51 tff(173,plain,
% 8.32/8.51 (![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)))))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[172, 162])).
% 8.32/8.51 tff(174,plain,
% 8.32/8.51 (((~![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(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))))) <=> ((~![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(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(175,plain,
% 8.32/8.51 ((~((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))) <=> (~((~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))))),
% 8.32/8.51 inference(rewrite,[status(thm)],[])).
% 8.32/8.51 tff(176,plain,
% 8.32/8.51 (((~![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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))))),
% 8.32/8.51 inference(monotonicity,[status(thm)],[175])).
% 8.32/8.51 tff(177,plain,
% 8.32/8.51 (((~![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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))))),
% 8.32/8.51 inference(transitivity,[status(thm)],[176, 174])).
% 8.32/8.51 tff(178,plain,
% 8.32/8.51 ((~![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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))))),
% 8.32/8.51 inference(quant_inst,[status(thm)],[])).
% 8.32/8.51 tff(179,plain,
% 8.32/8.51 ((~![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(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))))),
% 8.32/8.51 inference(modus_ponens,[status(thm)],[178, 177])).
% 8.32/8.51 tff(180,plain,
% 8.32/8.51 (~((~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[179, 173])).
% 8.32/8.51 tff(181,plain,
% 8.32/8.51 (((~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | ((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))),
% 8.32/8.51 inference(tautology,[status(thm)],[])).
% 8.32/8.51 tff(182,plain,
% 8.32/8.51 ((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[181, 180])).
% 8.32/8.51 tff(183,plain,
% 8.32/8.51 (((~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))) | leaf_occ(tptp_fun_X97_14(X101!17), X101!17)),
% 8.32/8.51 inference(tautology,[status(thm)],[])).
% 8.32/8.51 tff(184,plain,
% 8.32/8.51 (leaf_occ(tptp_fun_X97_14(X101!17), X101!17)),
% 8.32/8.51 inference(unit_resolution,[status(thm)],[183, 87])).
% 8.32/8.51 tff(185,plain,
% 8.32/8.51 ((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))),
% 8.32/8.51 inference(tautology,[status(thm)],[])).
% 8.32/8.51 tff(186,plain,
% 8.32/8.51 ((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))),
% 8.32/8.52 inference(unit_resolution,[status(thm)],[185, 184])).
% 8.32/8.52 tff(187,plain,
% 8.32/8.52 (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))),
% 8.32/8.52 inference(unit_resolution,[status(thm)],[186, 182])).
% 8.32/8.52 tff(188,plain,
% 8.32/8.52 (((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.32/8.52 inference(tautology,[status(thm)],[])).
% 8.32/8.52 tff(189,plain,
% 8.32/8.52 (occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.32/8.52 inference(unit_resolution,[status(thm)],[188, 187])).
% 8.32/8.52 tff(190,plain,
% 8.32/8.52 (^[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))))),
% 8.32/8.52 inference(bind,[status(th)],[])).
% 8.32/8.52 tff(191,plain,
% 8.32/8.52 (![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)))),
% 8.32/8.52 inference(quant_intro,[status(thm)],[190])).
% 8.32/8.52 tff(192,plain,
% 8.32/8.52 (^[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)))))),
% 8.32/8.52 inference(bind,[status(th)],[])).
% 8.32/8.52 tff(193,plain,
% 8.32/8.52 (![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)))),
% 8.32/8.52 inference(quant_intro,[status(thm)],[192])).
% 8.32/8.52 tff(194,plain,
% 8.32/8.52 (![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))),
% 8.32/8.52 inference(rewrite,[status(thm)],[])).
% 8.32/8.52 tff(195,plain,
% 8.32/8.52 (^[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)))),
% 8.32/8.52 inference(bind,[status(th)],[])).
% 8.32/8.52 tff(196,plain,
% 8.32/8.52 (![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))),
% 8.32/8.52 inference(quant_intro,[status(thm)],[195])).
% 8.32/8.52 tff(197,axiom,(![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_22')).
% 8.32/8.52 tff(198,plain,
% 8.32/8.52 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 8.32/8.52 inference(modus_ponens,[status(thm)],[197, 196])).
% 8.32/8.52 tff(199,plain,
% 8.32/8.52 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 8.32/8.52 inference(modus_ponens,[status(thm)],[198, 194])).
% 8.32/8.52 tff(200,plain,(
% 8.32/8.52 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 8.32/8.52 inference(skolemize,[status(sab)],[199])).
% 8.32/8.52 tff(201,plain,
% 8.32/8.52 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 8.32/8.52 inference(modus_ponens,[status(thm)],[200, 193])).
% 8.32/8.52 tff(202,plain,
% 8.32/8.52 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 8.32/8.52 inference(modus_ponens,[status(thm)],[201, 191])).
% 8.32/8.52 tff(203,plain,
% 8.32/8.52 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 8.32/8.52 inference(rewrite,[status(thm)],[])).
% 8.32/8.52 tff(204,plain,
% 8.32/8.52 (((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))) <=> ((~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 8.32/8.52 inference(rewrite,[status(thm)],[])).
% 8.32/8.52 tff(205,plain,
% 8.32/8.52 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(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_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))),
% 8.35/8.52 inference(monotonicity,[status(thm)],[204])).
% 8.35/8.52 tff(206,plain,
% 8.35/8.52 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(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_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 8.35/8.52 inference(transitivity,[status(thm)],[205, 203])).
% 8.35/8.52 tff(207,plain,
% 8.35/8.52 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 8.35/8.52 inference(quant_inst,[status(thm)],[])).
% 8.35/8.52 tff(208,plain,
% 8.35/8.52 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.35/8.52 inference(modus_ponens,[status(thm)],[207, 206])).
% 8.35/8.52 tff(209,plain,
% 8.35/8.52 (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))),
% 8.35/8.52 inference(unit_resolution,[status(thm)],[208, 202, 189, 157])).
% 8.35/8.52 tff(210,plain,
% 8.35/8.52 (((~![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))),
% 8.35/8.52 inference(rewrite,[status(thm)],[])).
% 8.35/8.52 tff(211,plain,
% 8.35/8.52 (((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))),
% 8.35/8.52 inference(rewrite,[status(thm)],[])).
% 8.35/8.52 tff(212,plain,
% 8.35/8.52 (((~![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)))),
% 8.35/8.52 inference(monotonicity,[status(thm)],[211])).
% 8.35/8.52 tff(213,plain,
% 8.35/8.52 (((~![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))),
% 8.35/8.52 inference(transitivity,[status(thm)],[212, 210])).
% 8.35/8.52 tff(214,plain,
% 8.35/8.52 ((~![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))))),
% 8.35/8.52 inference(quant_inst,[status(thm)],[])).
% 8.35/8.52 tff(215,plain,
% 8.35/8.52 ((~![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)),
% 8.35/8.52 inference(modus_ponens,[status(thm)],[214, 213])).
% 8.35/8.52 tff(216,plain,
% 8.35/8.52 (tptp_fun_X53_6(X101!17) = tptp0),
% 8.35/8.52 inference(unit_resolution,[status(thm)],[215, 202, 10, 157])).
% 8.35/8.52 tff(217,plain,
% 8.35/8.52 (tptp0 = tptp_fun_X53_6(X101!17)),
% 8.35/8.52 inference(symmetry,[status(thm)],[216])).
% 8.35/8.52 tff(218,plain,
% 8.35/8.52 (tptp0 = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))),
% 8.35/8.52 inference(transitivity,[status(thm)],[217, 209])).
% 8.35/8.52 tff(219,plain,
% 8.35/8.52 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0) <=> min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.35/8.52 inference(monotonicity,[status(thm)],[218])).
% 8.35/8.52 tff(220,plain,
% 8.35/8.52 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) <=> min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)),
% 8.35/8.52 inference(symmetry,[status(thm)],[219])).
% 8.35/8.52 tff(221,plain,
% 8.35/8.52 (^[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))))))))))),
% 8.35/8.52 inference(bind,[status(th)],[])).
% 8.35/8.52 tff(222,plain,
% 8.35/8.52 (![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)))))))))),
% 8.35/8.52 inference(quant_intro,[status(thm)],[221])).
% 8.35/8.52 tff(223,plain,
% 8.35/8.52 (^[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))))))))))),
% 8.35/8.52 inference(bind,[status(th)],[])).
% 8.35/8.52 tff(224,plain,
% 8.35/8.52 (![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)))))))))),
% 8.35/8.52 inference(quant_intro,[status(thm)],[223])).
% 8.35/8.52 tff(225,plain,
% 8.35/8.52 (![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)))))))))),
% 8.35/8.52 inference(transitivity,[status(thm)],[224, 222])).
% 8.35/8.52 tff(226,plain,
% 8.35/8.52 (^[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)))))))))))),
% 8.35/8.52 inference(bind,[status(th)],[])).
% 8.35/8.52 tff(227,plain,
% 8.35/8.52 (![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)))))))))),
% 8.35/8.52 inference(quant_intro,[status(thm)],[226])).
% 8.35/8.52 tff(228,plain,
% 8.35/8.52 (^[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))))),
% 8.35/8.52 inference(bind,[status(th)],[])).
% 8.35/8.52 tff(229,plain,
% 8.35/8.52 (![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)))),
% 8.35/8.52 inference(quant_intro,[status(thm)],[228])).
% 8.35/8.52 tff(230,plain,
% 8.35/8.52 (![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))))),
% 8.35/8.52 inference(rewrite,[status(thm)],[])).
% 8.35/8.52 tff(231,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/sandbox2/benchmark/theBenchmark.p','sos_14')).
% 8.35/8.52 tff(232,plain,
% 8.35/8.52 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 8.35/8.52 inference(modus_ponens,[status(thm)],[231, 230])).
% 8.35/8.52 tff(233,plain,(
% 8.35/8.52 ![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))))),
% 8.35/8.52 inference(skolemize,[status(sab)],[232])).
% 8.35/8.52 tff(234,plain,
% 8.35/8.52 (![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)))),
% 8.35/8.52 inference(modus_ponens,[status(thm)],[233, 229])).
% 8.35/8.52 tff(235,plain,
% 8.35/8.52 (![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)))))))))),
% 8.35/8.52 inference(modus_ponens,[status(thm)],[234, 227])).
% 8.35/8.52 tff(236,plain,
% 8.35/8.52 (![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)))))))))),
% 8.35/8.52 inference(modus_ponens,[status(thm)],[235, 225])).
% 8.35/8.52 tff(237,plain,
% 8.35/8.52 (((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))) <=> ((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))))),
% 8.35/8.52 inference(rewrite,[status(thm)],[])).
% 8.35/8.52 tff(238,plain,
% 8.35/8.52 ((~((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))))) <=> (~((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))),
% 8.35/8.52 inference(rewrite,[status(thm)],[])).
% 8.35/8.52 tff(239,plain,
% 8.35/8.52 (((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))))) <=> ((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))))),
% 8.35/8.52 inference(monotonicity,[status(thm)],[238])).
% 8.35/8.52 tff(240,plain,
% 8.35/8.52 (((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))))) <=> ((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))))),
% 8.35/8.52 inference(transitivity,[status(thm)],[239, 237])).
% 8.35/8.52 tff(241,plain,
% 8.35/8.52 ((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))))),
% 8.35/8.52 inference(quant_inst,[status(thm)],[])).
% 8.35/8.52 tff(242,plain,
% 8.35/8.52 ((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))),
% 8.35/8.52 inference(modus_ponens,[status(thm)],[241, 240])).
% 8.35/8.52 tff(243,plain,
% 8.35/8.52 (~((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))),
% 8.35/8.52 inference(unit_resolution,[status(thm)],[242, 236])).
% 8.35/8.52 tff(244,plain,
% 8.35/8.52 (((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))),
% 8.35/8.52 inference(tautology,[status(thm)],[])).
% 8.35/8.52 tff(245,plain,
% 8.35/8.52 ((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))),
% 8.35/8.52 inference(unit_resolution,[status(thm)],[244, 243])).
% 8.35/8.52 tff(246,plain,
% 8.35/8.52 (((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.35/8.52 inference(tautology,[status(thm)],[])).
% 8.35/8.52 tff(247,plain,
% 8.35/8.52 (leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.35/8.52 inference(unit_resolution,[status(thm)],[246, 187])).
% 8.35/8.52 tff(248,plain,
% 8.35/8.52 ((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))),
% 8.35/8.52 inference(tautology,[status(thm)],[])).
% 8.35/8.52 tff(249,plain,
% 8.35/8.52 ((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))),
% 8.35/8.53 inference(unit_resolution,[status(thm)],[248, 247])).
% 8.35/8.53 tff(250,plain,
% 8.35/8.53 (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))),
% 8.35/8.53 inference(unit_resolution,[status(thm)],[249, 245])).
% 8.35/8.53 tff(251,plain,
% 8.35/8.53 (((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))) | (root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 8.35/8.53 inference(tautology,[status(thm)],[])).
% 8.35/8.53 tff(252,plain,
% 8.35/8.53 (root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.35/8.53 inference(unit_resolution,[status(thm)],[251, 250])).
% 8.35/8.53 tff(253,plain,
% 8.35/8.53 (tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)) = tptp_fun_X53_6(X101!17)),
% 8.35/8.53 inference(symmetry,[status(thm)],[209])).
% 8.35/8.53 tff(254,plain,
% 8.35/8.53 (tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)) = tptp0),
% 8.35/8.53 inference(transitivity,[status(thm)],[253, 216])).
% 8.35/8.53 tff(255,plain,
% 8.35/8.53 (root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) <=> root(tptp_fun_X97_14(X101!17), tptp0)),
% 8.35/8.53 inference(monotonicity,[status(thm)],[254])).
% 8.35/8.53 tff(256,plain,
% 8.35/8.53 (root(tptp_fun_X97_14(X101!17), tptp0) <=> root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.35/8.53 inference(symmetry,[status(thm)],[255])).
% 8.35/8.53 tff(257,plain,
% 8.35/8.53 ((~root(tptp_fun_X97_14(X101!17), tptp0)) <=> (~root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 8.35/8.53 inference(monotonicity,[status(thm)],[256])).
% 8.35/8.53 tff(258,plain,
% 8.35/8.53 (^[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)))))))))))),
% 8.35/8.53 inference(bind,[status(th)],[])).
% 8.35/8.53 tff(259,plain,
% 8.35/8.53 (![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))))))))))),
% 8.35/8.53 inference(quant_intro,[status(thm)],[258])).
% 8.35/8.53 tff(260,plain,
% 8.35/8.53 (^[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)))))))))),
% 8.35/8.53 inference(bind,[status(th)],[])).
% 8.35/8.53 tff(261,plain,
% 8.35/8.53 (![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))))))))),
% 8.35/8.53 inference(quant_intro,[status(thm)],[260])).
% 8.35/8.53 tff(262,plain,
% 8.35/8.53 (^[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)))))))))),
% 8.35/8.53 inference(bind,[status(th)],[])).
% 8.35/8.53 tff(263,plain,
% 8.35/8.53 (![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))))))))),
% 8.35/8.53 inference(quant_intro,[status(thm)],[262])).
% 8.35/8.53 tff(264,plain,
% 8.35/8.53 (![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))))))))),
% 8.35/8.53 inference(transitivity,[status(thm)],[263, 261])).
% 8.35/8.53 tff(265,plain,
% 8.35/8.53 (^[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))))))))))),
% 8.36/8.53 inference(bind,[status(th)],[])).
% 8.36/8.53 tff(266,plain,
% 8.36/8.53 (![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))))))))),
% 8.36/8.53 inference(quant_intro,[status(thm)],[265])).
% 8.36/8.53 tff(267,plain,
% 8.36/8.53 (^[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)))))),
% 8.36/8.53 inference(bind,[status(th)],[])).
% 8.36/8.53 tff(268,plain,
% 8.36/8.53 (![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))))),
% 8.36/8.53 inference(quant_intro,[status(thm)],[267])).
% 8.36/8.53 tff(269,plain,
% 8.36/8.53 (![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)))))),
% 8.36/8.53 inference(rewrite,[status(thm)],[])).
% 8.36/8.53 tff(270,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/sandbox2/benchmark/theBenchmark.p','sos_04')).
% 8.36/8.53 tff(271,plain,
% 8.36/8.53 (![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)))))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[270, 269])).
% 8.36/8.53 tff(272,plain,(
% 8.36/8.53 ![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)))))),
% 8.36/8.53 inference(skolemize,[status(sab)],[271])).
% 8.36/8.53 tff(273,plain,
% 8.36/8.53 (![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))))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[272, 268])).
% 8.36/8.53 tff(274,plain,
% 8.36/8.53 (![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))))))))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[273, 266])).
% 8.36/8.53 tff(275,plain,
% 8.36/8.53 (![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))))))))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[274, 264])).
% 8.36/8.53 tff(276,plain,
% 8.36/8.53 (![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))))))))))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[275, 259])).
% 8.36/8.53 tff(277,plain,
% 8.36/8.53 ((~![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_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))))))))))),
% 8.36/8.53 inference(quant_inst,[status(thm)],[])).
% 8.36/8.53 tff(278,plain,
% 8.36/8.53 (~((~(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)))))))))),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[277, 276])).
% 8.36/8.53 tff(279,plain,
% 8.36/8.53 (((~(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)))))))),
% 8.36/8.53 inference(tautology,[status(thm)],[])).
% 8.36/8.53 tff(280,plain,
% 8.36/8.53 ((~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))))))),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[279, 278])).
% 8.36/8.53 tff(281,plain,
% 8.36/8.53 (((~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)),
% 8.36/8.53 inference(tautology,[status(thm)],[])).
% 8.36/8.53 tff(282,plain,
% 8.36/8.53 (next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[281, 87])).
% 8.36/8.53 tff(283,plain,
% 8.36/8.53 ((~((~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))))))),
% 8.36/8.53 inference(tautology,[status(thm)],[])).
% 8.36/8.53 tff(284,plain,
% 8.36/8.53 ((~((~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))))))),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[283, 282])).
% 8.36/8.53 tff(285,plain,
% 8.36/8.53 (~((~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)))))),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[284, 280])).
% 8.36/8.53 tff(286,plain,
% 8.36/8.53 (((~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)),
% 8.36/8.53 inference(tautology,[status(thm)],[])).
% 8.36/8.53 tff(287,plain,
% 8.36/8.53 (min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[286, 285])).
% 8.36/8.53 tff(288,plain,
% 8.36/8.53 (^[X25: $i, X26: $i, X27: $i] : refl(((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 8.36/8.53 inference(bind,[status(th)],[])).
% 8.36/8.53 tff(289,plain,
% 8.36/8.53 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 8.36/8.53 inference(quant_intro,[status(thm)],[288])).
% 8.36/8.53 tff(290,plain,
% 8.36/8.53 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 8.36/8.53 inference(rewrite,[status(thm)],[])).
% 8.36/8.53 tff(291,plain,
% 8.36/8.53 (^[X25: $i, X26: $i, X27: $i] : rewrite((min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 8.36/8.53 inference(bind,[status(th)],[])).
% 8.36/8.53 tff(292,plain,
% 8.36/8.53 (![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 8.36/8.53 inference(quant_intro,[status(thm)],[291])).
% 8.36/8.53 tff(293,axiom,(![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 8.36/8.53 tff(294,plain,
% 8.36/8.53 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[293, 292])).
% 8.36/8.53 tff(295,plain,
% 8.36/8.53 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[294, 290])).
% 8.36/8.53 tff(296,plain,(
% 8.36/8.53 ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 8.36/8.53 inference(skolemize,[status(sab)],[295])).
% 8.36/8.53 tff(297,plain,
% 8.36/8.53 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[296, 289])).
% 8.36/8.53 tff(298,plain,
% 8.36/8.53 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))),
% 8.36/8.53 inference(rewrite,[status(thm)],[])).
% 8.36/8.53 tff(299,plain,
% 8.36/8.53 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))),
% 8.36/8.53 inference(quant_inst,[status(thm)],[])).
% 8.36/8.53 tff(300,plain,
% 8.36/8.53 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[299, 298])).
% 8.36/8.53 tff(301,plain,
% 8.36/8.53 (~root(tptp_fun_X97_14(X101!17), tptp0)),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[300, 297, 287])).
% 8.36/8.53 tff(302,plain,
% 8.36/8.53 (~root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[301, 257])).
% 8.36/8.53 tff(303,plain,
% 8.36/8.53 ((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.36/8.53 inference(tautology,[status(thm)],[])).
% 8.36/8.53 tff(304,plain,
% 8.36/8.53 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[303, 302, 252])).
% 8.36/8.53 tff(305,plain,
% 8.36/8.53 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[304, 220])).
% 8.36/8.53 tff(306,plain,
% 8.36/8.53 (^[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)))))))),
% 8.36/8.53 inference(bind,[status(th)],[])).
% 8.36/8.53 tff(307,plain,
% 8.36/8.53 (![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))))))),
% 8.36/8.53 inference(quant_intro,[status(thm)],[306])).
% 8.36/8.53 tff(308,plain,
% 8.36/8.53 (^[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)))))))),
% 8.36/8.53 inference(bind,[status(th)],[])).
% 8.36/8.53 tff(309,plain,
% 8.36/8.53 (![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))))))),
% 8.36/8.53 inference(quant_intro,[status(thm)],[308])).
% 8.36/8.53 tff(310,plain,
% 8.36/8.53 (![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)))),
% 8.36/8.53 inference(rewrite,[status(thm)],[])).
% 8.36/8.53 tff(311,plain,
% 8.36/8.53 (^[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)))))),
% 8.36/8.53 inference(bind,[status(th)],[])).
% 8.36/8.53 tff(312,plain,
% 8.36/8.53 (![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)))),
% 8.36/8.53 inference(quant_intro,[status(thm)],[311])).
% 8.36/8.53 tff(313,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/sandbox2/benchmark/theBenchmark.p','sos_24')).
% 8.36/8.53 tff(314,plain,
% 8.36/8.53 (![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)))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[313, 312])).
% 8.36/8.53 tff(315,plain,
% 8.36/8.53 (![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)))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[314, 310])).
% 8.36/8.53 tff(316,plain,(
% 8.36/8.53 ![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))))),
% 8.36/8.53 inference(skolemize,[status(sab)],[315])).
% 8.36/8.53 tff(317,plain,
% 8.36/8.53 (![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))))))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[316, 309])).
% 8.36/8.53 tff(318,plain,
% 8.36/8.53 (![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))))))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[317, 307])).
% 8.36/8.53 tff(319,plain,
% 8.36/8.53 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))))),
% 8.36/8.53 inference(rewrite,[status(thm)],[])).
% 8.36/8.53 tff(320,plain,
% 8.36/8.53 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))))),
% 8.36/8.53 inference(quant_inst,[status(thm)],[])).
% 8.36/8.53 tff(321,plain,
% 8.36/8.53 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))))),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[320, 319])).
% 8.36/8.53 tff(322,plain,
% 8.36/8.53 ((~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))))),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[321, 318])).
% 8.36/8.53 tff(323,plain,
% 8.36/8.53 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[322, 305])).
% 8.36/8.53 tff(324,plain,
% 8.36/8.53 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))) | subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 8.36/8.53 inference(tautology,[status(thm)],[])).
% 8.36/8.53 tff(325,plain,
% 8.36/8.53 (subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[324, 323])).
% 8.36/8.53 tff(326,plain,
% 8.36/8.53 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)),
% 8.36/8.53 inference(tautology,[status(thm)],[])).
% 8.36/8.53 tff(327,plain,
% 8.36/8.53 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)),
% 8.36/8.53 inference(unit_resolution,[status(thm)],[326, 323])).
% 8.36/8.53 tff(328,plain,
% 8.36/8.53 (leaf(tptp_fun_X97_14(X101!17), tptp0) <=> leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 8.36/8.53 inference(monotonicity,[status(thm)],[218])).
% 8.36/8.53 tff(329,plain,
% 8.36/8.53 (leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) <=> leaf(tptp_fun_X97_14(X101!17), tptp0)),
% 8.36/8.53 inference(symmetry,[status(thm)],[328])).
% 8.36/8.53 tff(330,plain,
% 8.36/8.53 (leaf(tptp_fun_X97_14(X101!17), tptp0)),
% 8.36/8.53 inference(modus_ponens,[status(thm)],[247, 329])).
% 8.36/8.53 tff(331,plain,
% 8.36/8.53 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 8.36/8.53 inference(rewrite,[status(thm)],[])).
% 8.36/8.53 tff(332,plain,
% 8.36/8.53 (((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0))) <=> ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 8.36/8.53 inference(rewrite,[status(thm)],[])).
% 8.36/8.53 tff(333,plain,
% 8.36/8.53 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))))),
% 8.36/8.53 inference(monotonicity,[status(thm)],[332])).
% 8.36/8.53 tff(334,plain,
% 8.36/8.53 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 8.36/8.54 inference(transitivity,[status(thm)],[333, 331])).
% 8.36/8.54 tff(335,plain,
% 8.36/8.54 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)))),
% 8.36/8.54 inference(quant_inst,[status(thm)],[])).
% 8.36/8.54 tff(336,plain,
% 8.36/8.54 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))),
% 8.36/8.54 inference(modus_ponens,[status(thm)],[335, 334])).
% 8.36/8.54 tff(337,plain,
% 8.36/8.54 ($false),
% 8.36/8.54 inference(unit_resolution,[status(thm)],[336, 330, 327, 325, 119])).
% 8.36/8.54 tff(338,plain,(~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))), inference(lemma,lemma(discharge,[]))).
% 8.36/8.54 tff(339,plain,
% 8.36/8.54 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))))))),
% 8.36/8.54 inference(rewrite,[status(thm)],[])).
% 8.36/8.54 tff(340,plain,
% 8.36/8.54 ((~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))))))),
% 8.36/8.54 inference(rewrite,[status(thm)],[])).
% 8.36/8.54 tff(341,plain,
% 8.36/8.54 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))))))),
% 8.36/8.54 inference(monotonicity,[status(thm)],[340])).
% 8.36/8.54 tff(342,plain,
% 8.36/8.54 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))))))),
% 8.36/8.54 inference(transitivity,[status(thm)],[341, 339])).
% 8.36/8.54 tff(343,plain,
% 8.36/8.54 ((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))))),
% 8.36/8.54 inference(quant_inst,[status(thm)],[])).
% 8.36/8.54 tff(344,plain,
% 8.36/8.54 ((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))))))),
% 8.36/8.54 inference(modus_ponens,[status(thm)],[343, 342])).
% 8.36/8.54 tff(345,plain,
% 8.36/8.54 (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))))),
% 8.36/8.54 inference(unit_resolution,[status(thm)],[344, 173])).
% 8.36/8.54 tff(346,plain,
% 8.36/8.54 (((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))))) | (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))),
% 8.36/8.54 inference(tautology,[status(thm)],[])).
% 8.36/8.54 tff(347,plain,
% 8.36/8.54 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))),
% 8.36/8.54 inference(unit_resolution,[status(thm)],[346, 345])).
% 8.36/8.54 tff(348,plain,
% 8.36/8.54 ((~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))) | leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))),
% 8.36/8.54 inference(tautology,[status(thm)],[])).
% 8.36/8.54 tff(349,plain,
% 8.36/8.54 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))),
% 8.36/8.54 inference(unit_resolution,[status(thm)],[348, 347])).
% 8.36/8.54 tff(350,plain,
% 8.36/8.54 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 8.36/8.54 inference(unit_resolution,[status(thm)],[349, 338])).
% 8.36/8.54 tff(351,plain,
% 8.36/8.54 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0)))))),
% 8.36/8.54 inference(rewrite,[status(thm)],[])).
% 8.36/8.54 tff(352,plain,
% 8.36/8.54 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0)))))),
% 8.36/8.54 inference(quant_inst,[status(thm)],[])).
% 8.36/8.54 tff(353,plain,
% 8.36/8.54 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0))))),
% 8.36/8.54 inference(modus_ponens,[status(thm)],[352, 351])).
% 8.36/8.54 tff(354,plain,
% 8.36/8.54 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0)))),
% 8.36/8.54 inference(unit_resolution,[status(thm)],[353, 83, 327])).
% 8.36/8.54 tff(355,plain,
% 8.36/8.54 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 8.36/8.54 inference(tautology,[status(thm)],[])).
% 8.36/8.54 tff(356,plain,
% 8.36/8.54 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 8.36/8.54 inference(unit_resolution,[status(thm)],[355, 354])).
% 8.36/8.54 tff(357,plain,
% 8.36/8.54 (^[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))))),
% 8.36/8.54 inference(bind,[status(th)],[])).
% 8.36/8.54 tff(358,plain,
% 8.36/8.54 (![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)))),
% 8.36/8.54 inference(quant_intro,[status(thm)],[357])).
% 8.36/8.54 tff(359,plain,
% 8.36/8.54 (^[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)))))),
% 8.36/8.54 inference(bind,[status(th)],[])).
% 8.36/8.54 tff(360,plain,
% 8.36/8.54 (![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)))),
% 8.36/8.54 inference(quant_intro,[status(thm)],[359])).
% 8.36/8.54 tff(361,plain,
% 8.36/8.54 (![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))),
% 8.36/8.54 inference(rewrite,[status(thm)],[])).
% 8.36/8.54 tff(362,plain,
% 8.36/8.54 (^[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))))),
% 8.36/8.54 inference(bind,[status(th)],[])).
% 8.36/8.54 tff(363,plain,
% 8.36/8.54 (![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))),
% 8.36/8.54 inference(quant_intro,[status(thm)],[362])).
% 8.36/8.54 tff(364,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/sandbox2/benchmark/theBenchmark.p','sos_03')).
% 8.36/8.54 tff(365,plain,
% 8.36/8.54 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 8.36/8.54 inference(modus_ponens,[status(thm)],[364, 363])).
% 8.36/8.54 tff(366,plain,
% 8.36/8.54 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 8.36/8.54 inference(modus_ponens,[status(thm)],[365, 361])).
% 8.36/8.54 tff(367,plain,(
% 8.36/8.54 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 8.36/8.54 inference(skolemize,[status(sab)],[366])).
% 8.36/8.54 tff(368,plain,
% 8.36/8.54 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 8.36/8.54 inference(modus_ponens,[status(thm)],[367, 360])).
% 8.36/8.54 tff(369,plain,
% 8.36/8.54 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 8.36/8.55 inference(modus_ponens,[status(thm)],[368, 358])).
% 8.36/8.55 tff(370,plain,
% 8.36/8.55 (((~![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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 8.36/8.55 inference(rewrite,[status(thm)],[])).
% 8.36/8.55 tff(371,plain,
% 8.36/8.55 (((tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 8.36/8.55 inference(rewrite,[status(thm)],[])).
% 8.36/8.55 tff(372,plain,
% 8.36/8.55 (((~![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(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))))),
% 8.36/8.55 inference(monotonicity,[status(thm)],[371])).
% 8.36/8.55 tff(373,plain,
% 8.36/8.55 (((~![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(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 8.36/8.55 inference(transitivity,[status(thm)],[372, 370])).
% 8.36/8.55 tff(374,plain,
% 8.36/8.55 ((~![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(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 8.36/8.55 inference(quant_inst,[status(thm)],[])).
% 8.36/8.55 tff(375,plain,
% 8.36/8.55 ((~![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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))),
% 8.36/8.55 inference(modus_ponens,[status(thm)],[374, 373])).
% 8.36/8.55 tff(376,plain,
% 8.36/8.55 (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[375, 369, 13, 327, 356, 350])).
% 8.36/8.55 tff(377,plain,
% 8.36/8.55 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(X101!17)),
% 8.36/8.55 inference(symmetry,[status(thm)],[376])).
% 8.36/8.55 tff(378,plain,
% 8.36/8.55 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) <=> leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.55 inference(monotonicity,[status(thm)],[377])).
% 8.36/8.55 tff(379,plain,
% 8.36/8.55 (leaf_occ(tptp_fun_X97_14(X101!17), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.55 inference(symmetry,[status(thm)],[378])).
% 8.36/8.55 tff(380,assumption,(![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))), introduced(assumption)).
% 8.36/8.55 tff(381,plain,
% 8.36/8.55 (((~![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))))))),
% 8.36/8.55 inference(rewrite,[status(thm)],[])).
% 8.36/8.55 tff(382,plain,
% 8.36/8.55 ((~![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))))))),
% 8.36/8.55 inference(quant_inst,[status(thm)],[])).
% 8.36/8.55 tff(383,plain,
% 8.36/8.55 ((~![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)))))),
% 8.36/8.55 inference(modus_ponens,[status(thm)],[382, 381])).
% 8.36/8.55 tff(384,plain,
% 8.36/8.55 (~((~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))))),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[383, 318, 287])).
% 8.36/8.55 tff(385,plain,
% 8.36/8.55 (((~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_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.55 inference(tautology,[status(thm)],[])).
% 8.36/8.55 tff(386,plain,
% 8.36/8.55 (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))),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[385, 384])).
% 8.36/8.55 tff(387,plain,
% 8.36/8.55 (((~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)),
% 8.36/8.55 inference(tautology,[status(thm)],[])).
% 8.36/8.55 tff(388,plain,
% 8.36/8.55 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[387, 384])).
% 8.36/8.55 tff(389,plain,
% 8.36/8.55 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), 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))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), 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))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)))),
% 8.36/8.55 inference(rewrite,[status(thm)],[])).
% 8.36/8.55 tff(390,plain,
% 8.36/8.55 (((~leaf(tptp_fun_X97_14(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))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), 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))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)))),
% 8.36/8.55 inference(rewrite,[status(thm)],[])).
% 8.36/8.55 tff(391,plain,
% 8.36/8.55 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))) | ((~leaf(tptp_fun_X97_14(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)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), 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))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0))))),
% 8.36/8.55 inference(monotonicity,[status(thm)],[390])).
% 8.36/8.55 tff(392,plain,
% 8.36/8.55 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))) | ((~leaf(tptp_fun_X97_14(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)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), 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))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)))),
% 8.36/8.55 inference(transitivity,[status(thm)],[391, 389])).
% 8.36/8.55 tff(393,plain,
% 8.36/8.55 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))) | ((~leaf(tptp_fun_X97_14(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)))),
% 8.36/8.55 inference(quant_inst,[status(thm)],[])).
% 8.36/8.55 tff(394,plain,
% 8.36/8.55 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0))),
% 8.36/8.55 inference(modus_ponens,[status(thm)],[393, 392])).
% 8.36/8.55 tff(395,plain,
% 8.36/8.55 ($false),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[394, 388, 386, 330, 380])).
% 8.36/8.55 tff(396,plain,(~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))), inference(lemma,lemma(discharge,[]))).
% 8.36/8.55 tff(397,plain,
% 8.36/8.55 (((~![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(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))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))) | (~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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), 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(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))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))) | (~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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37))))))))),
% 8.36/8.55 inference(rewrite,[status(thm)],[])).
% 8.36/8.55 tff(398,plain,
% 8.36/8.55 ((~((~((~leaf_occ(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_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), 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(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), 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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))) <=> (~((~((~leaf_occ(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_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))) | (~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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))))))),
% 8.36/8.55 inference(rewrite,[status(thm)],[])).
% 8.36/8.55 tff(399,plain,
% 8.36/8.55 (((~![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(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), 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(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), 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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), 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(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))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))) | (~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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37))))))))),
% 8.36/8.55 inference(monotonicity,[status(thm)],[398])).
% 8.36/8.55 tff(400,plain,
% 8.36/8.55 (((~![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(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), 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(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), 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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), 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(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))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))) | (~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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37))))))))),
% 8.36/8.55 inference(transitivity,[status(thm)],[399, 397])).
% 8.36/8.55 tff(401,plain,
% 8.36/8.55 ((~![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(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), 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(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), 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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))))),
% 8.36/8.55 inference(quant_inst,[status(thm)],[])).
% 8.36/8.55 tff(402,plain,
% 8.36/8.55 ((~![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(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))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))) | (~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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))))))),
% 8.36/8.55 inference(modus_ponens,[status(thm)],[401, 400])).
% 8.36/8.55 tff(403,plain,
% 8.36/8.55 (~((~((~leaf_occ(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_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))) | (~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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37))))))),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[402, 173])).
% 8.36/8.55 tff(404,plain,
% 8.36/8.55 (((~((~leaf_occ(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_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), 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(X101!17)))) | (~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(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))))) | (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37))))),
% 8.36/8.55 inference(tautology,[status(thm)],[])).
% 8.36/8.55 tff(405,plain,
% 8.36/8.55 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[404, 403])).
% 8.36/8.55 tff(406,plain,
% 8.36/8.55 ((~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37))))) | leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))),
% 8.36/8.55 inference(tautology,[status(thm)],[])).
% 8.36/8.55 tff(407,plain,
% 8.36/8.55 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~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), X37)))),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[406, 405])).
% 8.36/8.55 tff(408,plain,
% 8.36/8.55 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.55 inference(unit_resolution,[status(thm)],[407, 396])).
% 8.36/8.55 tff(409,plain,
% 8.36/8.55 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.56 inference(modus_ponens,[status(thm)],[408, 379])).
% 8.36/8.56 tff(410,plain,
% 8.36/8.56 (((~![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)))))),
% 8.36/8.56 inference(rewrite,[status(thm)],[])).
% 8.36/8.56 tff(411,plain,
% 8.36/8.56 ((~![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)))))),
% 8.36/8.56 inference(quant_inst,[status(thm)],[])).
% 8.36/8.56 tff(412,plain,
% 8.36/8.56 ((~![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))))),
% 8.36/8.56 inference(modus_ponens,[status(thm)],[411, 410])).
% 8.36/8.56 tff(413,plain,
% 8.36/8.56 (~((~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)))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[412, 83, 388])).
% 8.36/8.56 tff(414,plain,
% 8.36/8.56 (((~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))) | 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))),
% 8.36/8.56 inference(tautology,[status(thm)],[])).
% 8.36/8.56 tff(415,plain,
% 8.36/8.56 (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))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[414, 413])).
% 8.36/8.56 tff(416,plain,
% 8.36/8.56 (((~![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(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))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), 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(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))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.36/8.56 inference(rewrite,[status(thm)],[])).
% 8.36/8.56 tff(417,plain,
% 8.36/8.56 (((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), 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(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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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)))) <=> (atomic(tptp0) | (~occurrence_of(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))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.36/8.56 inference(rewrite,[status(thm)],[])).
% 8.36/8.56 tff(418,plain,
% 8.36/8.56 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), 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(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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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))))) <=> ((~![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(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))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 8.36/8.56 inference(monotonicity,[status(thm)],[417])).
% 8.36/8.56 tff(419,plain,
% 8.36/8.56 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), 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(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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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))))) <=> ((~![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(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))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.36/8.56 inference(transitivity,[status(thm)],[418, 416])).
% 8.36/8.56 tff(420,plain,
% 8.36/8.56 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), 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(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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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))))),
% 8.36/8.56 inference(quant_inst,[status(thm)],[])).
% 8.36/8.56 tff(421,plain,
% 8.36/8.56 ((~![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(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))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.36/8.56 inference(modus_ponens,[status(thm)],[420, 419])).
% 8.36/8.56 tff(422,plain,
% 8.36/8.56 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[421, 369, 13, 388, 415, 409])).
% 8.36/8.56 tff(423,plain,
% 8.36/8.56 (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.56 inference(transitivity,[status(thm)],[376, 422])).
% 8.36/8.56 tff(424,plain,
% 8.36/8.56 (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(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_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 8.36/8.56 inference(monotonicity,[status(thm)],[423])).
% 8.36/8.56 tff(425,plain,
% 8.36/8.56 (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) <=> 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(X101!17), tptp0)),
% 8.36/8.56 inference(symmetry,[status(thm)],[424])).
% 8.36/8.56 tff(426,plain,
% 8.36/8.56 ((~![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))))))))))),
% 8.36/8.56 inference(quant_inst,[status(thm)],[])).
% 8.36/8.56 tff(427,plain,
% 8.36/8.56 (~((~(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)))))))))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[426, 276])).
% 8.36/8.56 tff(428,plain,
% 8.36/8.56 (((~(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)))))))),
% 8.36/8.56 inference(tautology,[status(thm)],[])).
% 8.36/8.56 tff(429,plain,
% 8.36/8.56 ((~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))))))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[428, 427])).
% 8.36/8.56 tff(430,plain,
% 8.36/8.56 (((~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)),
% 8.36/8.56 inference(tautology,[status(thm)],[])).
% 8.36/8.56 tff(431,plain,
% 8.36/8.56 (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)),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[430, 413])).
% 8.36/8.56 tff(432,plain,
% 8.36/8.56 ((~((~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))))))),
% 8.36/8.56 inference(tautology,[status(thm)],[])).
% 8.36/8.56 tff(433,plain,
% 8.36/8.56 ((~((~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))))))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[432, 431])).
% 8.36/8.56 tff(434,plain,
% 8.36/8.56 (~((~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)))))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[433, 429])).
% 8.36/8.56 tff(435,plain,
% 8.36/8.56 (((~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)),
% 8.36/8.56 inference(tautology,[status(thm)],[])).
% 8.36/8.56 tff(436,plain,
% 8.36/8.56 (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)),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[435, 434])).
% 8.36/8.56 tff(437,plain,
% 8.36/8.56 (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(X101!17), tptp0)),
% 8.36/8.56 inference(modus_ponens,[status(thm)],[436, 425])).
% 8.36/8.56 tff(438,plain,
% 8.36/8.56 (((~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))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))),
% 8.36/8.56 inference(tautology,[status(thm)],[])).
% 8.36/8.56 tff(439,plain,
% 8.36/8.56 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[438, 285])).
% 8.36/8.56 tff(440,plain,
% 8.36/8.56 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(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)), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(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)), tptp0)))),
% 8.36/8.56 inference(rewrite,[status(thm)],[])).
% 8.36/8.56 tff(441,plain,
% 8.36/8.56 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(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)), tptp0)))),
% 8.36/8.56 inference(quant_inst,[status(thm)],[])).
% 8.36/8.56 tff(442,plain,
% 8.36/8.56 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(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)), tptp0))),
% 8.36/8.56 inference(modus_ponens,[status(thm)],[441, 440])).
% 8.36/8.56 tff(443,plain,
% 8.36/8.56 ((~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(X101!17), tptp0)) | (~min_precedes(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)), tptp0))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[442, 439])).
% 8.36/8.56 tff(444,plain,
% 8.36/8.56 (~min_precedes(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)), tptp0)),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[443, 437])).
% 8.36/8.56 tff(445,plain,
% 8.36/8.56 (~min_precedes(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)), tptp0)),
% 8.36/8.56 inference(modus_ponens,[status(thm)],[444, 118])).
% 8.36/8.56 tff(446,plain,
% 8.36/8.56 (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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 8.36/8.56 inference(symmetry,[status(thm)],[422])).
% 8.36/8.56 tff(447,plain,
% 8.36/8.56 (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(X101!17)),
% 8.36/8.56 inference(transitivity,[status(thm)],[446, 377])).
% 8.36/8.56 tff(448,plain,
% 8.36/8.56 (min_precedes(tptp_fun_X93_13(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(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 8.36/8.56 inference(monotonicity,[status(thm)],[109, 447])).
% 8.36/8.56 tff(449,plain,
% 8.36/8.56 (min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0) <=> min_precedes(tptp_fun_X93_13(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)),
% 8.36/8.56 inference(symmetry,[status(thm)],[448])).
% 8.36/8.56 tff(450,plain,
% 8.36/8.56 (min_precedes(tptp_fun_X93_13(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)),
% 8.36/8.56 inference(modus_ponens,[status(thm)],[287, 449])).
% 8.36/8.56 tff(451,plain,
% 8.36/8.56 (((~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))))) | ![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)))),
% 8.36/8.56 inference(tautology,[status(thm)],[])).
% 8.36/8.56 tff(452,plain,
% 8.36/8.56 (![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)))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[451, 434])).
% 8.36/8.56 tff(453,plain,
% 8.36/8.56 (((~![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_X93_13(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_X93_13(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_X93_13(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_X93_13(X101!17, tptp0), tptp0)))),
% 8.36/8.56 inference(rewrite,[status(thm)],[])).
% 8.36/8.56 tff(454,plain,
% 8.36/8.56 ((~![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_X93_13(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_X93_13(X101!17, tptp0), tptp0)))),
% 8.36/8.56 inference(quant_inst,[status(thm)],[])).
% 8.36/8.56 tff(455,plain,
% 8.36/8.56 ((~![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_X93_13(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_X93_13(X101!17, tptp0), tptp0))),
% 8.36/8.56 inference(modus_ponens,[status(thm)],[454, 453])).
% 8.36/8.56 tff(456,plain,
% 8.36/8.56 ((~min_precedes(tptp_fun_X93_13(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_X93_13(X101!17, tptp0), tptp0))),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[455, 452])).
% 8.36/8.56 tff(457,plain,
% 8.36/8.56 (~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_X93_13(X101!17, tptp0), tptp0)),
% 8.36/8.56 inference(unit_resolution,[status(thm)],[456, 450])).
% 8.36/8.56 tff(458,plain,
% 8.36/8.56 (subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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))),
% 8.36/8.56 inference(monotonicity,[status(thm)],[109])).
% 8.36/8.56 tff(459,plain,
% 8.36/8.56 (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_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.57 inference(symmetry,[status(thm)],[458])).
% 8.36/8.57 tff(460,plain,
% 8.36/8.57 (((~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))),
% 8.36/8.57 inference(tautology,[status(thm)],[])).
% 8.36/8.57 tff(461,plain,
% 8.36/8.57 (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))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[460, 384])).
% 8.36/8.57 tff(462,plain,
% 8.36/8.57 (subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[461, 459])).
% 8.36/8.57 tff(463,plain,
% 8.36/8.57 (((~![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(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))) | (~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), 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(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))) | (~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 8.36/8.57 inference(rewrite,[status(thm)],[])).
% 8.36/8.57 tff(464,plain,
% 8.36/8.57 ((~((~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))))) <=> (~((~(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))) | (~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))))),
% 8.36/8.57 inference(rewrite,[status(thm)],[])).
% 8.36/8.57 tff(465,plain,
% 8.36/8.57 (((~![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(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_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), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(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)) | ![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(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(tptp_fun_X96_15(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(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))) | (~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 8.36/8.57 inference(monotonicity,[status(thm)],[464])).
% 8.36/8.57 tff(466,plain,
% 8.36/8.57 (((~![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(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_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), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(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)) | ![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(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(tptp_fun_X96_15(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(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))) | (~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 8.36/8.57 inference(transitivity,[status(thm)],[465, 463])).
% 8.36/8.57 tff(467,plain,
% 8.36/8.57 ((~![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(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_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), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34)))))))),
% 8.36/8.57 inference(quant_inst,[status(thm)],[])).
% 8.36/8.57 tff(468,plain,
% 8.36/8.57 ((~![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(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))) | (~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[467, 466])).
% 8.36/8.57 tff(469,plain,
% 8.36/8.57 (~((~(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))) | (~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[468, 58])).
% 8.36/8.57 tff(470,plain,
% 8.36/8.57 (((~(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)) | ![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(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(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X34))))) | (~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 8.36/8.57 inference(tautology,[status(thm)],[])).
% 8.36/8.57 tff(471,plain,
% 8.36/8.57 ((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[470, 469])).
% 8.36/8.57 tff(472,plain,
% 8.36/8.57 (((~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))),
% 8.36/8.57 inference(tautology,[status(thm)],[])).
% 8.36/8.57 tff(473,plain,
% 8.36/8.57 (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))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[472, 413])).
% 8.36/8.57 tff(474,plain,
% 8.36/8.57 ((~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.36/8.57 inference(tautology,[status(thm)],[])).
% 8.36/8.57 tff(475,plain,
% 8.36/8.57 ((~((~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))) | (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(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(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_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(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(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[474, 473])).
% 8.36/8.57 tff(476,plain,
% 8.36/8.57 (~((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[475, 471])).
% 8.36/8.57 tff(477,plain,
% 8.36/8.57 (((~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(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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~root(tptp_fun_X96_15(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(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(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))),
% 8.36/8.57 inference(tautology,[status(thm)],[])).
% 8.36/8.57 tff(478,plain,
% 8.36/8.57 (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(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[477, 476])).
% 8.36/8.57 tff(479,plain,
% 8.36/8.57 (^[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))))))),
% 8.36/8.57 inference(bind,[status(th)],[])).
% 8.36/8.57 tff(480,plain,
% 8.36/8.57 (![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)))))),
% 8.36/8.57 inference(quant_intro,[status(thm)],[479])).
% 8.36/8.57 tff(481,plain,
% 8.36/8.57 (^[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))))))),
% 8.36/8.57 inference(bind,[status(th)],[])).
% 8.36/8.57 tff(482,plain,
% 8.36/8.57 (![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)))))),
% 8.36/8.57 inference(quant_intro,[status(thm)],[481])).
% 8.36/8.57 tff(483,plain,
% 8.36/8.57 (![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)))),
% 8.36/8.57 inference(rewrite,[status(thm)],[])).
% 8.36/8.57 tff(484,plain,
% 8.36/8.57 (^[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))))),
% 8.36/8.57 inference(bind,[status(th)],[])).
% 8.36/8.57 tff(485,plain,
% 8.36/8.57 (![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)))),
% 8.36/8.57 inference(quant_intro,[status(thm)],[484])).
% 8.36/8.57 tff(486,axiom,(![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_05')).
% 8.36/8.57 tff(487,plain,
% 8.36/8.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[486, 485])).
% 8.36/8.57 tff(488,plain,
% 8.36/8.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[487, 483])).
% 8.36/8.57 tff(489,plain,(
% 8.36/8.57 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 8.36/8.57 inference(skolemize,[status(sab)],[488])).
% 8.36/8.57 tff(490,plain,
% 8.36/8.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[489, 482])).
% 8.36/8.57 tff(491,plain,
% 8.36/8.57 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[490, 480])).
% 8.36/8.57 tff(492,plain,
% 8.36/8.57 (((~![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)))))))),
% 8.36/8.57 inference(rewrite,[status(thm)],[])).
% 8.36/8.57 tff(493,plain,
% 8.36/8.57 ((~![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)))))))),
% 8.36/8.57 inference(quant_inst,[status(thm)],[])).
% 8.36/8.57 tff(494,plain,
% 8.36/8.57 ((~![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))))))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[493, 492])).
% 8.36/8.57 tff(495,plain,
% 8.36/8.57 (~((~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)))))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[494, 491, 431])).
% 8.36/8.57 tff(496,plain,
% 8.36/8.57 (((~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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.36/8.57 inference(tautology,[status(thm)],[])).
% 8.36/8.57 tff(497,plain,
% 8.36/8.57 (arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[496, 495])).
% 8.36/8.57 tff(498,plain,
% 8.36/8.57 (^[X38: $i, X39: $i] : refl(((~root(X38, X39)) | legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 8.36/8.57 inference(bind,[status(th)],[])).
% 8.36/8.57 tff(499,plain,
% 8.36/8.57 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 8.36/8.57 inference(quant_intro,[status(thm)],[498])).
% 8.36/8.57 tff(500,plain,
% 8.36/8.57 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 8.36/8.57 inference(rewrite,[status(thm)],[])).
% 8.36/8.57 tff(501,plain,
% 8.36/8.57 (^[X38: $i, X39: $i] : rewrite((root(X38, X39) => legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 8.36/8.57 inference(bind,[status(th)],[])).
% 8.36/8.57 tff(502,plain,
% 8.36/8.57 (![X38: $i, X39: $i] : (root(X38, X39) => legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 8.36/8.57 inference(quant_intro,[status(thm)],[501])).
% 8.36/8.57 tff(503,axiom,(![X38: $i, X39: $i] : (root(X38, X39) => legal(X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_12')).
% 8.36/8.57 tff(504,plain,
% 8.36/8.57 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[503, 502])).
% 8.36/8.57 tff(505,plain,
% 8.36/8.57 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[504, 500])).
% 8.36/8.57 tff(506,plain,(
% 8.36/8.57 ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 8.36/8.57 inference(skolemize,[status(sab)],[505])).
% 8.36/8.57 tff(507,plain,
% 8.36/8.57 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[506, 499])).
% 8.36/8.57 tff(508,plain,
% 8.36/8.57 (((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X101!17, tptp0)))) <=> ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X101!17, tptp0)))),
% 8.36/8.57 inference(rewrite,[status(thm)],[])).
% 8.36/8.57 tff(509,plain,
% 8.36/8.57 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X101!17, tptp0)))),
% 8.36/8.57 inference(quant_inst,[status(thm)],[])).
% 8.36/8.57 tff(510,plain,
% 8.36/8.57 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X101!17, tptp0))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[509, 508])).
% 8.36/8.57 tff(511,plain,
% 8.36/8.57 (legal(tptp_fun_X93_13(X101!17, tptp0))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[510, 507, 34])).
% 8.36/8.57 tff(512,plain,
% 8.36/8.57 (^[X51: $i] : refl((arboreal(X51) | (~legal(X51))) <=> (arboreal(X51) | (~legal(X51))))),
% 8.36/8.57 inference(bind,[status(th)],[])).
% 8.36/8.57 tff(513,plain,
% 8.36/8.57 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 8.36/8.57 inference(quant_intro,[status(thm)],[512])).
% 8.36/8.57 tff(514,plain,
% 8.36/8.57 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 8.36/8.57 inference(rewrite,[status(thm)],[])).
% 8.36/8.57 tff(515,plain,
% 8.36/8.57 (^[X51: $i] : rewrite((legal(X51) => arboreal(X51)) <=> (arboreal(X51) | (~legal(X51))))),
% 8.36/8.57 inference(bind,[status(th)],[])).
% 8.36/8.57 tff(516,plain,
% 8.36/8.57 (![X51: $i] : (legal(X51) => arboreal(X51)) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 8.36/8.57 inference(quant_intro,[status(thm)],[515])).
% 8.36/8.57 tff(517,axiom,(![X51: $i] : (legal(X51) => arboreal(X51))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_17')).
% 8.36/8.57 tff(518,plain,
% 8.36/8.57 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[517, 516])).
% 8.36/8.57 tff(519,plain,
% 8.36/8.57 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[518, 514])).
% 8.36/8.57 tff(520,plain,(
% 8.36/8.57 ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 8.36/8.57 inference(skolemize,[status(sab)],[519])).
% 8.36/8.57 tff(521,plain,
% 8.36/8.57 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[520, 513])).
% 8.36/8.57 tff(522,plain,
% 8.36/8.57 (((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(X101!17, tptp0)) | (~legal(tptp_fun_X93_13(X101!17, tptp0))))) <=> ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(X101!17, tptp0)) | (~legal(tptp_fun_X93_13(X101!17, tptp0))))),
% 8.36/8.57 inference(rewrite,[status(thm)],[])).
% 8.36/8.57 tff(523,plain,
% 8.36/8.57 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(X101!17, tptp0)) | (~legal(tptp_fun_X93_13(X101!17, tptp0))))),
% 8.36/8.57 inference(quant_inst,[status(thm)],[])).
% 8.36/8.57 tff(524,plain,
% 8.36/8.57 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(X101!17, tptp0)) | (~legal(tptp_fun_X93_13(X101!17, tptp0)))),
% 8.36/8.57 inference(modus_ponens,[status(thm)],[523, 522])).
% 8.36/8.57 tff(525,plain,
% 8.36/8.57 (arboreal(tptp_fun_X93_13(X101!17, tptp0))),
% 8.36/8.57 inference(unit_resolution,[status(thm)],[524, 521, 511])).
% 8.36/8.57 tff(526,plain,
% 8.36/8.57 (^[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))))),
% 8.36/8.57 inference(bind,[status(th)],[])).
% 8.36/8.57 tff(527,plain,
% 8.36/8.57 (![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)))),
% 8.36/8.57 inference(quant_intro,[status(thm)],[526])).
% 8.36/8.58 tff(528,plain,
% 8.36/8.58 (^[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)))))),
% 8.36/8.58 inference(bind,[status(th)],[])).
% 8.36/8.58 tff(529,plain,
% 8.36/8.58 (![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)))),
% 8.36/8.58 inference(quant_intro,[status(thm)],[528])).
% 8.36/8.58 tff(530,plain,
% 8.36/8.58 (![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))))),
% 8.36/8.58 inference(rewrite,[status(thm)],[])).
% 8.36/8.58 tff(531,plain,
% 8.36/8.58 (^[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))))))),
% 8.36/8.58 inference(bind,[status(th)],[])).
% 8.36/8.58 tff(532,plain,
% 8.36/8.58 (![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))))),
% 8.36/8.58 inference(quant_intro,[status(thm)],[531])).
% 8.36/8.58 tff(533,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/sandbox2/benchmark/theBenchmark.p','sos_28')).
% 8.36/8.58 tff(534,plain,
% 8.36/8.58 (![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))))),
% 8.36/8.58 inference(modus_ponens,[status(thm)],[533, 532])).
% 8.36/8.58 tff(535,plain,
% 8.36/8.58 (![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))))),
% 8.36/8.58 inference(modus_ponens,[status(thm)],[534, 530])).
% 8.36/8.58 tff(536,plain,(
% 8.36/8.58 ![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))))),
% 8.36/8.58 inference(skolemize,[status(sab)],[535])).
% 8.36/8.58 tff(537,plain,
% 8.36/8.58 (![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)))),
% 8.36/8.58 inference(modus_ponens,[status(thm)],[536, 529])).
% 8.36/8.58 tff(538,plain,
% 8.36/8.58 (![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)))),
% 8.36/8.58 inference(modus_ponens,[status(thm)],[537, 527])).
% 8.36/8.58 tff(539,plain,
% 8.36/8.58 (((~![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)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(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)))) | (~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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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_X93_13(X101!17, tptp0), tptp0) | min_precedes(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)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(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)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(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)))) | (~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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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_X93_13(X101!17, tptp0), tptp0) | min_precedes(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)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0)))),
% 8.36/8.58 inference(rewrite,[status(thm)],[])).
% 8.36/8.58 tff(540,plain,
% 8.36/8.58 (((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(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)), 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_X93_13(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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, 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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(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)) | (~arboreal(tptp_fun_X93_13(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)))) | (~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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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_X93_13(X101!17, tptp0), tptp0) | min_precedes(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)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0)))),
% 8.36/8.58 inference(rewrite,[status(thm)],[])).
% 8.36/8.58 tff(541,plain,
% 8.36/8.58 (((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(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)), 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_X93_13(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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, 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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(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)))) | (~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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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_X93_13(X101!17, tptp0), tptp0) | min_precedes(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)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0))))),
% 8.36/8.58 inference(monotonicity,[status(thm)],[540])).
% 8.36/8.58 tff(542,plain,
% 8.36/8.58 (((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(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)), 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_X93_13(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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, 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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(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)))) | (~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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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_X93_13(X101!17, tptp0), tptp0) | min_precedes(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)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0)))),
% 8.36/8.58 inference(transitivity,[status(thm)],[541, 539])).
% 8.36/8.58 tff(543,plain,
% 8.36/8.58 ((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(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)), 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_X93_13(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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, 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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.36/8.58 inference(quant_inst,[status(thm)],[])).
% 8.36/8.58 tff(544,plain,
% 8.36/8.58 ((~![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)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(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)))) | (~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(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), 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_X93_13(X101!17, tptp0), tptp0) | min_precedes(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)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0))),
% 8.36/8.58 inference(modus_ponens,[status(thm)],[543, 542])).
% 8.36/8.58 tff(545,plain,
% 8.36/8.58 (min_precedes(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)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0))),
% 8.36/8.58 inference(unit_resolution,[status(thm)],[544, 538, 525, 388, 497, 478, 462, 457])).
% 8.36/8.58 tff(546,plain,
% 8.36/8.58 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(X101!17, tptp0)),
% 8.36/8.58 inference(unit_resolution,[status(thm)],[545, 445])).
% 8.36/8.58 tff(547,plain,
% 8.36/8.58 (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))),
% 8.36/8.58 inference(symmetry,[status(thm)],[546])).
% 8.36/8.58 tff(548,plain,
% 8.36/8.58 (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))),
% 8.36/8.58 inference(transitivity,[status(thm)],[110, 547])).
% 8.36/8.58 tff(549,plain,
% 8.36/8.58 (subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(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)) <=> 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_X100_16(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))),
% 8.36/8.58 inference(monotonicity,[status(thm)],[548])).
% 8.36/8.58 tff(550,plain,
% 8.36/8.58 (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_X100_16(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)) <=> subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(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))),
% 8.36/8.58 inference(symmetry,[status(thm)],[549])).
% 8.36/8.58 tff(551,plain,
% 8.36/8.58 (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_X100_16(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)) <=> subactivity_occurrence(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.36/8.58 inference(transitivity,[status(thm)],[550, 115])).
% 8.36/8.58 tff(552,plain,
% 8.36/8.58 (((~![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(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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(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_X100_16(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))))))))))) | (~((~(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 8.36/8.58 inference(rewrite,[status(thm)],[])).
% 8.36/8.58 tff(553,plain,
% 8.36/8.58 ((~((~(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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_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_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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 8.36/8.58 inference(rewrite,[status(thm)],[])).
% 8.36/8.58 tff(554,plain,
% 8.36/8.58 (((~![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(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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_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))))))))))) | (~((~(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 8.36/8.58 inference(monotonicity,[status(thm)],[553])).
% 8.36/8.58 tff(555,plain,
% 8.36/8.58 (((~![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(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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_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))))))))))) | (~((~(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 8.36/8.58 inference(transitivity,[status(thm)],[554, 552])).
% 8.36/8.58 tff(556,plain,
% 8.36/8.58 ((~![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(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 8.36/8.58 inference(quant_inst,[status(thm)],[])).
% 8.36/8.58 tff(557,plain,
% 8.36/8.58 ((~![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(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[556, 555])).
% 8.36/8.59 tff(558,plain,
% 8.36/8.59 (~((~(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[557, 276])).
% 8.36/8.59 tff(559,plain,
% 8.36/8.59 (((~(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_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_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_X100_16(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_X100_16(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_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)) | (~((~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_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(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_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)) | (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))),
% 8.36/8.59 inference(tautology,[status(thm)],[])).
% 8.36/8.59 tff(560,plain,
% 8.36/8.59 ((~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_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)) | (~![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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[559, 558])).
% 8.36/8.59 tff(561,plain,
% 8.36/8.59 (^[X98: $i, X99: $i] : refl(((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))))),
% 8.36/8.59 inference(bind,[status(th)],[])).
% 8.36/8.59 tff(562,plain,
% 8.36/8.59 (![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> ![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 8.36/8.59 inference(quant_intro,[status(thm)],[561])).
% 8.36/8.59 tff(563,plain,
% 8.36/8.59 (^[X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X99, tptp0) & root_occ(X98, X99)) <=> (~((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))))), ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) <=> (~(~((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))))))), rewrite((~(~((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)))), ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))))), 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) & root_occ(X98, X99))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> (((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))))), rewrite((((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))), (((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))))),
% 8.36/8.59 inference(bind,[status(th)],[])).
% 8.36/8.59 tff(564,plain,
% 8.36/8.59 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> ![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 8.36/8.59 inference(quant_intro,[status(thm)],[563])).
% 8.36/8.59 tff(565,plain,
% 8.36/8.59 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 8.36/8.59 inference(rewrite,[status(thm)],[])).
% 8.36/8.59 tff(566,plain,
% 8.36/8.59 (^[X98: $i, X99: $i] : rewrite(((occurrence_of(X99, tptp0) & root_occ(X98, X99)) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))))),
% 8.36/8.59 inference(bind,[status(th)],[])).
% 8.36/8.59 tff(567,plain,
% 8.36/8.59 (![X98: $i, X99: $i] : ((occurrence_of(X99, tptp0) & root_occ(X98, X99)) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 8.36/8.59 inference(quant_intro,[status(thm)],[566])).
% 8.36/8.59 tff(568,axiom,(![X98: $i, X99: $i] : ((occurrence_of(X99, tptp0) & root_occ(X98, X99)) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_45')).
% 8.36/8.59 tff(569,plain,
% 8.36/8.59 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[568, 567])).
% 8.36/8.59 tff(570,plain,
% 8.36/8.59 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[569, 565])).
% 8.36/8.59 tff(571,plain,(
% 8.36/8.59 ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))),
% 8.36/8.59 inference(skolemize,[status(sab)],[570])).
% 8.36/8.59 tff(572,plain,
% 8.36/8.59 (![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[571, 564])).
% 8.36/8.59 tff(573,plain,
% 8.36/8.59 (![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[572, 562])).
% 8.36/8.59 tff(574,plain,
% 8.36/8.59 (((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~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(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))) | (~((~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)) | (~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)))))) <=> ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~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(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))) | (~((~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)) | (~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)))))),
% 8.36/8.59 inference(rewrite,[status(thm)],[])).
% 8.36/8.59 tff(575,plain,
% 8.36/8.59 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~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(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))) | (~((~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)) | (~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)))))),
% 8.36/8.59 inference(quant_inst,[status(thm)],[])).
% 8.36/8.59 tff(576,plain,
% 8.36/8.59 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~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(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))) | (~((~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)) | (~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))))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[575, 574])).
% 8.36/8.59 tff(577,plain,
% 8.36/8.59 (~((~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)) | (~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)))),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[576, 573, 388, 473])).
% 8.36/8.59 tff(578,plain,
% 8.36/8.59 (((~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)) | (~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_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)),
% 8.36/8.59 inference(tautology,[status(thm)],[])).
% 8.36/8.59 tff(579,plain,
% 8.36/8.59 (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)),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[578, 577])).
% 8.36/8.59 tff(580,plain,
% 8.36/8.59 ((~((~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_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)) | (~![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_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)) | (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 8.36/8.59 inference(tautology,[status(thm)],[])).
% 8.36/8.59 tff(581,plain,
% 8.36/8.59 ((~((~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_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)) | (~![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_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_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)) | (~![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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[580, 579])).
% 8.36/8.59 tff(582,plain,
% 8.36/8.59 (~((~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_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(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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[581, 560])).
% 8.36/8.59 tff(583,plain,
% 8.36/8.59 (((~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_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(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_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_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)),
% 8.36/8.59 inference(tautology,[status(thm)],[])).
% 8.36/8.59 tff(584,plain,
% 8.36/8.59 (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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[583, 582])).
% 8.36/8.59 tff(585,plain,
% 8.36/8.59 (((~![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_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_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_X100_16(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))) | (~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_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_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_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_X100_16(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))) | (~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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 8.36/8.59 inference(rewrite,[status(thm)],[])).
% 8.36/8.59 tff(586,plain,
% 8.36/8.59 ((~![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_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_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_X100_16(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))) | (~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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 8.36/8.59 inference(quant_inst,[status(thm)],[])).
% 8.36/8.59 tff(587,plain,
% 8.36/8.59 ((~![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_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_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_X100_16(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))) | (~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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[586, 585])).
% 8.36/8.59 tff(588,plain,
% 8.36/8.59 (~((~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_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_X100_16(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))) | (~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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[587, 318, 584])).
% 8.36/8.59 tff(589,plain,
% 8.36/8.59 (((~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_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_X100_16(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))) | (~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_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_X100_16(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))),
% 8.36/8.59 inference(tautology,[status(thm)],[])).
% 8.36/8.59 tff(590,plain,
% 8.36/8.59 (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_X100_16(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))),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[589, 588])).
% 8.36/8.59 tff(591,plain,
% 8.36/8.59 (subactivity_occurrence(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[590, 551])).
% 8.36/8.59 tff(592,plain,
% 8.36/8.59 (((~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_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_X100_16(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))) | (~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_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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 8.36/8.59 inference(tautology,[status(thm)],[])).
% 8.36/8.59 tff(593,plain,
% 8.36/8.59 (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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[592, 588])).
% 8.36/8.59 tff(594,plain,
% 8.36/8.59 (((~![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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(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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) <=> ((~![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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(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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.36/8.59 inference(rewrite,[status(thm)],[])).
% 8.36/8.59 tff(595,plain,
% 8.36/8.59 ((~![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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(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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.36/8.59 inference(quant_inst,[status(thm)],[])).
% 8.36/8.59 tff(596,plain,
% 8.36/8.59 ((~![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, tptp0), X34)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 8.36/8.59 inference(modus_ponens,[status(thm)],[595, 594])).
% 8.36/8.59 tff(597,plain,
% 8.36/8.59 ($false),
% 8.36/8.59 inference(unit_resolution,[status(thm)],[596, 34, 593, 591, 113])).
% 8.36/8.59 tff(598,plain,(~![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))), inference(lemma,lemma(discharge,[]))).
% 8.36/8.59 tff(599,plain,
% 8.36/8.59 (((~![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), tptp_fun_X73_8(tptp_fun_X100_16(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)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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))) | (~((~subactivity_occurrence(tptp_fun_X93_13(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, 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_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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))) | (~((~subactivity_occurrence(tptp_fun_X93_13(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0)))))))))))),
% 8.36/8.60 inference(rewrite,[status(thm)],[])).
% 8.36/8.60 tff(600,plain,
% 8.36/8.60 ((~((~((~root_occ(tptp_fun_X93_13(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_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(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(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_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_X100_16(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), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(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_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(X101!17, tptp0), X34))))))) <=> (~((~(root_occ(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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))) | (~((~subactivity_occurrence(tptp_fun_X93_13(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0))))))))))),
% 8.36/8.60 inference(rewrite,[status(thm)],[])).
% 8.36/8.60 tff(601,plain,
% 8.36/8.60 (((~![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_X93_13(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_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(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(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_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_X100_16(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), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(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_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(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), tptp_fun_X73_8(tptp_fun_X100_16(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)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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))) | (~((~subactivity_occurrence(tptp_fun_X93_13(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0)))))))))))),
% 8.36/8.60 inference(monotonicity,[status(thm)],[600])).
% 8.36/8.60 tff(602,plain,
% 8.36/8.60 (((~![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_X93_13(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_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(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(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_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_X100_16(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), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(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_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(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), tptp_fun_X73_8(tptp_fun_X100_16(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)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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))) | (~((~subactivity_occurrence(tptp_fun_X93_13(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0)))))))))))),
% 8.36/8.60 inference(transitivity,[status(thm)],[601, 599])).
% 8.36/8.60 tff(603,plain,
% 8.36/8.60 ((~![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_X93_13(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_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(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(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_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_X100_16(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), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(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_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(X101!17, tptp0), X34)))))))),
% 8.36/8.60 inference(quant_inst,[status(thm)],[])).
% 8.36/8.60 tff(604,plain,
% 8.36/8.60 ((~![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_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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))) | (~((~subactivity_occurrence(tptp_fun_X93_13(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0))))))))))),
% 8.36/8.60 inference(modus_ponens,[status(thm)],[603, 602])).
% 8.36/8.60 tff(605,plain,
% 8.36/8.60 (~((~(root_occ(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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))) | (~((~subactivity_occurrence(tptp_fun_X93_13(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0)))))))))),
% 8.36/8.60 inference(unit_resolution,[status(thm)],[604, 58])).
% 8.36/8.60 tff(606,plain,
% 8.36/8.60 (((~(root_occ(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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))) | (~((~subactivity_occurrence(tptp_fun_X93_13(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_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_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_X100_16(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), tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X93_13(X101!17, tptp0))))))))) | (root_occ(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 8.36/8.60 inference(tautology,[status(thm)],[])).
% 8.36/8.60 tff(607,plain,
% 8.36/8.60 (root_occ(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.36/8.60 inference(unit_resolution,[status(thm)],[606, 605])).
% 8.36/8.60 tff(608,plain,
% 8.36/8.60 ((~(root_occ(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_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_X100_16(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)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.36/8.60 inference(tautology,[status(thm)],[])).
% 8.36/8.60 tff(609,plain,
% 8.36/8.60 (root_occ(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X101!17, 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_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(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.36/8.60 inference(unit_resolution,[status(thm)],[608, 607])).
% 8.36/8.60 tff(610,plain,
% 8.36/8.60 (root_occ(tptp_fun_X93_13(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.36/8.60 inference(unit_resolution,[status(thm)],[609, 598])).
% 8.36/8.60 tff(611,plain,
% 8.36/8.60 (tptp_fun_X100_16(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_X93_13(X101!17, tptp0))),
% 8.36/8.60 inference(monotonicity,[status(thm)],[546])).
% 8.36/8.60 tff(612,plain,
% 8.36/8.60 (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)))),
% 8.36/8.60 inference(symmetry,[status(thm)],[611])).
% 8.36/8.60 tff(613,plain,
% 8.36/8.60 (tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.36/8.60 inference(transitivity,[status(thm)],[111, 612])).
% 8.36/8.60 tff(614,plain,
% 8.36/8.60 (tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 8.36/8.60 inference(monotonicity,[status(thm)],[613, 548])).
% 8.36/8.60 tff(615,plain,
% 8.36/8.60 (tptp_fun_X73_8(tptp_fun_X100_16(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) = tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)),
% 8.36/8.60 inference(symmetry,[status(thm)],[614])).
% 8.36/8.60 tff(616,plain,
% 8.36/8.60 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.36/8.60 inference(monotonicity,[status(thm)],[615])).
% 8.36/8.60 tff(617,plain,
% 8.36/8.60 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) <=> root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.36/8.60 inference(symmetry,[status(thm)],[616])).
% 8.36/8.60 tff(618,assumption,(![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))), introduced(assumption)).
% 8.36/8.60 tff(619,plain,
% 8.36/8.60 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), 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_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))))))),
% 8.36/8.60 inference(rewrite,[status(thm)],[])).
% 8.36/8.60 tff(620,plain,
% 8.36/8.60 ((~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))))))),
% 8.36/8.60 inference(rewrite,[status(thm)],[])).
% 8.36/8.60 tff(621,plain,
% 8.36/8.60 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), 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_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))))))),
% 8.36/8.60 inference(monotonicity,[status(thm)],[620])).
% 8.36/8.60 tff(622,plain,
% 8.36/8.60 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), 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_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))))))),
% 8.44/8.61 inference(transitivity,[status(thm)],[621, 619])).
% 8.44/8.61 tff(623,plain,
% 8.44/8.61 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))))))),
% 8.44/8.61 inference(quant_inst,[status(thm)],[])).
% 8.44/8.61 tff(624,plain,
% 8.44/8.61 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))))))),
% 8.44/8.61 inference(modus_ponens,[status(thm)],[623, 622])).
% 8.44/8.61 tff(625,plain,
% 8.44/8.61 (~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))))),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[624, 276])).
% 8.44/8.61 tff(626,plain,
% 8.44/8.61 (((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))),
% 8.44/8.61 inference(tautology,[status(thm)],[])).
% 8.44/8.61 tff(627,plain,
% 8.44/8.61 ((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[626, 625])).
% 8.44/8.61 tff(628,plain,
% 8.44/8.61 (((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) <=> ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))),
% 8.44/8.61 inference(rewrite,[status(thm)],[])).
% 8.44/8.61 tff(629,plain,
% 8.44/8.61 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))),
% 8.44/8.61 inference(quant_inst,[status(thm)],[])).
% 8.44/8.61 tff(630,plain,
% 8.44/8.61 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))),
% 8.44/8.61 inference(modus_ponens,[status(thm)],[629, 628])).
% 8.44/8.61 tff(631,plain,
% 8.44/8.61 (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[630, 573, 10, 89])).
% 8.44/8.61 tff(632,plain,
% 8.44/8.61 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))) | next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)),
% 8.44/8.61 inference(tautology,[status(thm)],[])).
% 8.44/8.61 tff(633,plain,
% 8.44/8.61 (next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[632, 631])).
% 8.44/8.61 tff(634,plain,
% 8.44/8.61 ((~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))),
% 8.44/8.61 inference(tautology,[status(thm)],[])).
% 8.44/8.61 tff(635,plain,
% 8.44/8.61 ((~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[634, 633])).
% 8.44/8.61 tff(636,plain,
% 8.44/8.61 (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[635, 627])).
% 8.44/8.61 tff(637,plain,
% 8.44/8.61 (((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))) | min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)),
% 8.44/8.61 inference(tautology,[status(thm)],[])).
% 8.44/8.61 tff(638,plain,
% 8.44/8.61 (min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[637, 636])).
% 8.44/8.61 tff(639,plain,
% 8.44/8.61 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.61 inference(rewrite,[status(thm)],[])).
% 8.44/8.61 tff(640,plain,
% 8.44/8.61 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.61 inference(quant_inst,[status(thm)],[])).
% 8.44/8.61 tff(641,plain,
% 8.44/8.61 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 8.44/8.61 inference(modus_ponens,[status(thm)],[640, 639])).
% 8.44/8.61 tff(642,plain,
% 8.44/8.61 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[641, 318, 638])).
% 8.44/8.61 tff(643,plain,
% 8.44/8.61 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 8.44/8.61 inference(tautology,[status(thm)],[])).
% 8.44/8.61 tff(644,plain,
% 8.44/8.61 (occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[643, 642])).
% 8.44/8.61 tff(645,plain,
% 8.44/8.61 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.61 inference(rewrite,[status(thm)],[])).
% 8.44/8.61 tff(646,plain,
% 8.44/8.61 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.61 inference(quant_inst,[status(thm)],[])).
% 8.44/8.61 tff(647,plain,
% 8.44/8.61 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 8.44/8.61 inference(modus_ponens,[status(thm)],[646, 645])).
% 8.44/8.61 tff(648,plain,
% 8.44/8.61 (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[647, 26, 13, 644])).
% 8.44/8.61 tff(649,plain,
% 8.44/8.61 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.61 inference(tautology,[status(thm)],[])).
% 8.44/8.61 tff(650,plain,
% 8.44/8.61 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[649, 648])).
% 8.44/8.61 tff(651,plain,
% 8.44/8.61 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 8.44/8.61 inference(tautology,[status(thm)],[])).
% 8.44/8.61 tff(652,plain,
% 8.44/8.61 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[651, 648])).
% 8.44/8.61 tff(653,plain,
% 8.44/8.61 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.61 inference(rewrite,[status(thm)],[])).
% 8.44/8.61 tff(654,plain,
% 8.44/8.61 (((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.61 inference(rewrite,[status(thm)],[])).
% 8.44/8.61 tff(655,plain,
% 8.44/8.61 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 8.44/8.61 inference(monotonicity,[status(thm)],[654])).
% 8.44/8.61 tff(656,plain,
% 8.44/8.61 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.61 inference(transitivity,[status(thm)],[655, 653])).
% 8.44/8.61 tff(657,plain,
% 8.44/8.61 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))),
% 8.44/8.61 inference(quant_inst,[status(thm)],[])).
% 8.44/8.61 tff(658,plain,
% 8.44/8.61 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.61 inference(modus_ponens,[status(thm)],[657, 656])).
% 8.44/8.61 tff(659,plain,
% 8.44/8.61 ($false),
% 8.44/8.61 inference(unit_resolution,[status(thm)],[658, 644, 652, 650, 618])).
% 8.44/8.61 tff(660,plain,(~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 8.44/8.61 tff(661,plain,
% 8.44/8.61 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 8.44/8.61 inference(rewrite,[status(thm)],[])).
% 8.44/8.61 tff(662,plain,
% 8.44/8.61 ((~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 8.44/8.61 inference(rewrite,[status(thm)],[])).
% 8.44/8.61 tff(663,plain,
% 8.44/8.61 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 8.44/8.62 inference(monotonicity,[status(thm)],[662])).
% 8.44/8.62 tff(664,plain,
% 8.44/8.62 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 8.44/8.62 inference(transitivity,[status(thm)],[663, 661])).
% 8.44/8.62 tff(665,plain,
% 8.44/8.62 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 8.44/8.62 inference(quant_inst,[status(thm)],[])).
% 8.44/8.62 tff(666,plain,
% 8.44/8.62 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 8.44/8.62 inference(modus_ponens,[status(thm)],[665, 664])).
% 8.44/8.62 tff(667,plain,
% 8.44/8.62 (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))),
% 8.44/8.62 inference(unit_resolution,[status(thm)],[666, 58])).
% 8.44/8.62 tff(668,plain,
% 8.44/8.62 (((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))),
% 8.44/8.62 inference(tautology,[status(thm)],[])).
% 8.44/8.62 tff(669,plain,
% 8.44/8.62 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 8.44/8.62 inference(unit_resolution,[status(thm)],[668, 667])).
% 8.44/8.62 tff(670,plain,
% 8.44/8.62 ((~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 8.44/8.62 inference(tautology,[status(thm)],[])).
% 8.44/8.62 tff(671,plain,
% 8.44/8.62 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 8.44/8.62 inference(unit_resolution,[status(thm)],[670, 669])).
% 8.44/8.62 tff(672,plain,
% 8.44/8.62 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.62 inference(unit_resolution,[status(thm)],[671, 660])).
% 8.44/8.62 tff(673,plain,
% 8.44/8.62 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.44/8.62 inference(modus_ponens,[status(thm)],[672, 617])).
% 8.44/8.62 tff(674,plain,
% 8.44/8.62 (((~![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_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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_X100_16(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))) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(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), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_X100_16(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))) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 8.44/8.62 inference(rewrite,[status(thm)],[])).
% 8.44/8.62 tff(675,plain,
% 8.44/8.62 (((tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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(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_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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_X100_16(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))) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 8.44/8.62 inference(rewrite,[status(thm)],[])).
% 8.44/8.62 tff(676,plain,
% 8.44/8.62 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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(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_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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_X100_16(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), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_X100_16(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))) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0))))),
% 8.44/8.62 inference(monotonicity,[status(thm)],[675])).
% 8.44/8.62 tff(677,plain,
% 8.44/8.62 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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(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_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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_X100_16(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), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_X100_16(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))) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 8.44/8.62 inference(transitivity,[status(thm)],[676, 674])).
% 8.44/8.62 tff(678,plain,
% 8.44/8.62 ((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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(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_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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.44/8.62 inference(quant_inst,[status(thm)],[])).
% 8.44/8.62 tff(679,plain,
% 8.44/8.62 ((~![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_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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), 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_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_X100_16(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))) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 8.44/8.62 inference(modus_ponens,[status(thm)],[678, 677])).
% 8.44/8.62 tff(680,plain,
% 8.44/8.62 (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 8.44/8.62 inference(unit_resolution,[status(thm)],[679, 102, 593, 673, 610])).
% 8.44/8.62 tff(681,plain,
% 8.44/8.62 (tptp_fun_X100_16(tptp_fun_X93_13(X101!17, tptp0)) = tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 8.44/8.62 inference(monotonicity,[status(thm)],[680])).
% 8.44/8.62 tff(682,plain,
% 8.44/8.62 (tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) = tptp_fun_X100_16(tptp_fun_X93_13(X101!17, tptp0))),
% 8.44/8.62 inference(symmetry,[status(thm)],[681])).
% 8.44/8.62 tff(683,plain,
% 8.44/8.62 (((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 8.44/8.62 inference(rewrite,[status(thm)],[])).
% 8.44/8.62 tff(684,plain,
% 8.44/8.62 ((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 8.44/8.62 inference(quant_inst,[status(thm)],[])).
% 8.44/8.62 tff(685,plain,
% 8.44/8.62 ((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.44/8.62 inference(modus_ponens,[status(thm)],[684, 683])).
% 8.44/8.62 tff(686,plain,
% 8.44/8.62 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 8.44/8.62 inference(unit_resolution,[status(thm)],[685, 83, 644])).
% 8.44/8.62 tff(687,plain,
% 8.44/8.62 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.63 inference(tautology,[status(thm)],[])).
% 8.44/8.63 tff(688,plain,
% 8.44/8.63 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[687, 686])).
% 8.44/8.63 tff(689,plain,
% 8.44/8.63 (((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(690,plain,
% 8.44/8.63 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(691,plain,
% 8.44/8.63 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[690])).
% 8.44/8.63 tff(692,plain,
% 8.44/8.63 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.63 inference(transitivity,[status(thm)],[691, 689])).
% 8.44/8.63 tff(693,plain,
% 8.44/8.63 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.63 inference(quant_inst,[status(thm)],[])).
% 8.44/8.63 tff(694,plain,
% 8.44/8.63 ((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[693, 692])).
% 8.44/8.63 tff(695,plain,
% 8.44/8.63 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[694, 102, 644, 688, 672])).
% 8.44/8.63 tff(696,plain,
% 8.44/8.63 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 8.44/8.63 inference(symmetry,[status(thm)],[695])).
% 8.44/8.63 tff(697,plain,
% 8.44/8.63 (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[696])).
% 8.44/8.63 tff(698,plain,
% 8.44/8.63 (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X100_16(tptp_fun_X96_15(X101!17))),
% 8.44/8.63 inference(transitivity,[status(thm)],[697, 682, 112])).
% 8.44/8.63 tff(699,plain,
% 8.44/8.63 (subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(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))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[698])).
% 8.44/8.63 tff(700,plain,
% 8.44/8.63 (subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(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)) <=> subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.44/8.63 inference(symmetry,[status(thm)],[699])).
% 8.44/8.63 tff(701,plain,
% 8.44/8.63 (tptp_fun_X100_16(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(X101!17))),
% 8.44/8.63 inference(transitivity,[status(thm)],[611, 112])).
% 8.44/8.63 tff(702,plain,
% 8.44/8.63 (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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(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))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[701])).
% 8.44/8.63 tff(703,plain,
% 8.44/8.63 (((~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_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_X100_16(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))) | (~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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), 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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.44/8.63 inference(tautology,[status(thm)],[])).
% 8.44/8.63 tff(704,plain,
% 8.44/8.63 (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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[703, 588])).
% 8.44/8.63 tff(705,plain,
% 8.44/8.63 (subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(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))),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[704, 702])).
% 8.44/8.63 tff(706,plain,
% 8.44/8.63 (subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[705, 700])).
% 8.44/8.63 tff(707,plain,
% 8.44/8.63 ((tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.63 inference(commutativity,[status(thm)],[])).
% 8.44/8.63 tff(708,plain,
% 8.44/8.63 (tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.63 inference(symmetry,[status(thm)],[697])).
% 8.44/8.63 tff(709,plain,
% 8.44/8.63 (tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.63 inference(transitivity,[status(thm)],[111, 681, 708])).
% 8.44/8.63 tff(710,plain,
% 8.44/8.63 ((tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) <=> (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[709])).
% 8.44/8.63 tff(711,plain,
% 8.44/8.63 ((tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.63 inference(transitivity,[status(thm)],[710, 707])).
% 8.44/8.63 tff(712,plain,
% 8.44/8.63 ((~(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[711])).
% 8.44/8.63 tff(713,plain,
% 8.44/8.63 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)),
% 8.44/8.63 inference(tautology,[status(thm)],[])).
% 8.44/8.63 tff(714,plain,
% 8.44/8.63 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[713, 686])).
% 8.44/8.63 tff(715,plain,
% 8.44/8.63 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(716,plain,
% 8.44/8.63 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.44/8.63 inference(quant_inst,[status(thm)],[])).
% 8.44/8.63 tff(717,plain,
% 8.44/8.63 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[716, 715])).
% 8.44/8.63 tff(718,plain,
% 8.44/8.63 (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[717, 132, 714])).
% 8.44/8.63 tff(719,plain,
% 8.44/8.63 (((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.63 inference(tautology,[status(thm)],[])).
% 8.44/8.63 tff(720,plain,
% 8.44/8.63 (activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[719, 718])).
% 8.44/8.63 tff(721,plain,
% 8.44/8.63 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(722,plain,
% 8.44/8.63 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 8.44/8.63 inference(quant_inst,[status(thm)],[])).
% 8.44/8.63 tff(723,plain,
% 8.44/8.63 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[722, 721])).
% 8.44/8.63 tff(724,plain,
% 8.44/8.63 (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[723, 151, 720])).
% 8.44/8.63 tff(725,plain,
% 8.44/8.63 (((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.63 inference(tautology,[status(thm)],[])).
% 8.44/8.63 tff(726,plain,
% 8.44/8.63 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[725, 724])).
% 8.44/8.63 tff(727,plain,
% 8.44/8.63 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(728,plain,
% 8.44/8.63 (((tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))) <=> ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(729,plain,
% 8.44/8.63 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3)))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[728])).
% 8.44/8.63 tff(730,plain,
% 8.44/8.63 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3))),
% 8.44/8.63 inference(transitivity,[status(thm)],[729, 727])).
% 8.44/8.63 tff(731,plain,
% 8.44/8.63 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.63 inference(quant_inst,[status(thm)],[])).
% 8.44/8.63 tff(732,plain,
% 8.44/8.63 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3)),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[731, 730])).
% 8.44/8.63 tff(733,plain,
% 8.44/8.63 (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[732, 202, 714, 726])).
% 8.44/8.63 tff(734,assumption,(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), introduced(assumption)).
% 8.44/8.63 tff(735,plain,
% 8.44/8.63 (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[734])).
% 8.44/8.63 tff(736,plain,
% 8.44/8.63 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))) | occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)),
% 8.44/8.63 inference(tautology,[status(thm)],[])).
% 8.44/8.63 tff(737,plain,
% 8.44/8.63 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[736, 631])).
% 8.44/8.63 tff(738,plain,
% 8.44/8.63 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(739,plain,
% 8.44/8.63 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))))),
% 8.44/8.63 inference(quant_inst,[status(thm)],[])).
% 8.44/8.63 tff(740,plain,
% 8.44/8.63 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[739, 738])).
% 8.44/8.63 tff(741,plain,
% 8.44/8.63 (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[740, 132, 737])).
% 8.44/8.63 tff(742,plain,
% 8.44/8.63 (((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))),
% 8.44/8.63 inference(tautology,[status(thm)],[])).
% 8.44/8.63 tff(743,plain,
% 8.44/8.63 (activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[742, 741])).
% 8.44/8.63 tff(744,plain,
% 8.44/8.63 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(745,plain,
% 8.44/8.63 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))))),
% 8.44/8.63 inference(quant_inst,[status(thm)],[])).
% 8.44/8.63 tff(746,plain,
% 8.44/8.63 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))))),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[745, 744])).
% 8.44/8.63 tff(747,plain,
% 8.44/8.63 (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[746, 151, 743])).
% 8.44/8.63 tff(748,plain,
% 8.44/8.63 (((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))) | occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))),
% 8.44/8.63 inference(tautology,[status(thm)],[])).
% 8.44/8.63 tff(749,plain,
% 8.44/8.63 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[748, 747])).
% 8.44/8.63 tff(750,plain,
% 8.44/8.63 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(751,plain,
% 8.44/8.63 (((tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))) <=> ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(752,plain,
% 8.44/8.63 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1)))),
% 8.44/8.63 inference(monotonicity,[status(thm)],[751])).
% 8.44/8.63 tff(753,plain,
% 8.44/8.63 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1))),
% 8.44/8.63 inference(transitivity,[status(thm)],[752, 750])).
% 8.44/8.63 tff(754,plain,
% 8.44/8.63 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))),
% 8.44/8.63 inference(quant_inst,[status(thm)],[])).
% 8.44/8.63 tff(755,plain,
% 8.44/8.63 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1)),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[754, 753])).
% 8.44/8.63 tff(756,plain,
% 8.44/8.63 (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[755, 202, 737, 749])).
% 8.44/8.63 tff(757,plain,
% 8.44/8.63 (tptp1 = tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))),
% 8.44/8.63 inference(symmetry,[status(thm)],[756])).
% 8.44/8.63 tff(758,plain,
% 8.44/8.63 (tptp1 = tptp3),
% 8.44/8.63 inference(transitivity,[status(thm)],[757, 735, 733])).
% 8.44/8.63 tff(759,plain,
% 8.44/8.63 ((~(tptp1 = tptp3)) <=> (~(tptp1 = tptp3))),
% 8.44/8.63 inference(rewrite,[status(thm)],[])).
% 8.44/8.63 tff(760,axiom,(~(tptp1 = tptp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_42')).
% 8.44/8.63 tff(761,plain,
% 8.44/8.63 (~(tptp1 = tptp3)),
% 8.44/8.63 inference(modus_ponens,[status(thm)],[760, 759])).
% 8.44/8.63 tff(762,plain,
% 8.44/8.63 ($false),
% 8.44/8.63 inference(unit_resolution,[status(thm)],[761, 758])).
% 8.44/8.63 tff(763,plain,(~(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 8.44/8.63 tff(764,plain,
% 8.44/8.63 (~(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.64 inference(modus_ponens,[status(thm)],[763, 712])).
% 8.44/8.64 tff(765,plain,
% 8.44/8.64 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) <=> subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.44/8.64 inference(monotonicity,[status(thm)],[614])).
% 8.44/8.64 tff(766,plain,
% 8.44/8.64 (((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 8.44/8.64 inference(rewrite,[status(thm)],[])).
% 8.44/8.64 tff(767,plain,
% 8.44/8.64 ((~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))))) <=> (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))))))),
% 8.44/8.64 inference(rewrite,[status(thm)],[])).
% 8.44/8.64 tff(768,plain,
% 8.44/8.64 (((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 8.44/8.64 inference(monotonicity,[status(thm)],[767])).
% 8.44/8.64 tff(769,plain,
% 8.44/8.64 (((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 8.44/8.64 inference(transitivity,[status(thm)],[768, 766])).
% 8.44/8.64 tff(770,plain,
% 8.44/8.64 ((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))),
% 8.44/8.64 inference(quant_inst,[status(thm)],[])).
% 8.44/8.64 tff(771,plain,
% 8.44/8.64 ((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))))))),
% 8.44/8.64 inference(modus_ponens,[status(thm)],[770, 769])).
% 8.44/8.64 tff(772,plain,
% 8.44/8.64 (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))))),
% 8.44/8.64 inference(unit_resolution,[status(thm)],[771, 173])).
% 8.44/8.64 tff(773,plain,
% 8.44/8.64 (((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))))) | ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 8.44/8.64 inference(tautology,[status(thm)],[])).
% 8.44/8.64 tff(774,plain,
% 8.44/8.64 ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.44/8.64 inference(unit_resolution,[status(thm)],[773, 772])).
% 8.44/8.64 tff(775,plain,
% 8.44/8.64 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.64 inference(tautology,[status(thm)],[])).
% 8.44/8.64 tff(776,plain,
% 8.44/8.64 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.64 inference(unit_resolution,[status(thm)],[775, 686])).
% 8.44/8.64 tff(777,plain,
% 8.44/8.64 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.44/8.64 inference(tautology,[status(thm)],[])).
% 8.44/8.64 tff(778,plain,
% 8.44/8.64 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.44/8.64 inference(unit_resolution,[status(thm)],[777, 776])).
% 8.44/8.64 tff(779,plain,
% 8.44/8.64 (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.64 inference(unit_resolution,[status(thm)],[778, 774])).
% 8.44/8.64 tff(780,plain,
% 8.44/8.64 (((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))) | subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.64 inference(tautology,[status(thm)],[])).
% 8.44/8.64 tff(781,plain,
% 8.44/8.64 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 8.44/8.64 inference(unit_resolution,[status(thm)],[780, 779])).
% 8.44/8.64 tff(782,plain,
% 8.44/8.64 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.44/8.64 inference(modus_ponens,[status(thm)],[781, 765])).
% 8.44/8.64 tff(783,plain,
% 8.44/8.64 (((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 8.44/8.64 inference(rewrite,[status(thm)],[])).
% 8.44/8.64 tff(784,plain,
% 8.44/8.64 ((~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 8.44/8.65 inference(rewrite,[status(thm)],[])).
% 8.44/8.65 tff(785,plain,
% 8.44/8.65 (((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(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_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 8.44/8.65 inference(monotonicity,[status(thm)],[784])).
% 8.44/8.65 tff(786,plain,
% 8.44/8.65 (((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(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_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 8.44/8.65 inference(transitivity,[status(thm)],[785, 783])).
% 8.44/8.65 tff(787,plain,
% 8.44/8.65 ((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 8.44/8.65 inference(quant_inst,[status(thm)],[])).
% 8.44/8.65 tff(788,plain,
% 8.44/8.65 ((~![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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 8.44/8.65 inference(modus_ponens,[status(thm)],[787, 786])).
% 8.44/8.65 tff(789,plain,
% 8.44/8.65 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[788, 276])).
% 8.44/8.65 tff(790,plain,
% 8.44/8.65 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))),
% 8.44/8.65 inference(tautology,[status(thm)],[])).
% 8.44/8.65 tff(791,plain,
% 8.44/8.65 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[790, 789])).
% 8.44/8.65 tff(792,plain,
% 8.44/8.65 (((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) <=> ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 8.44/8.65 inference(rewrite,[status(thm)],[])).
% 8.44/8.65 tff(793,plain,
% 8.44/8.65 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 8.44/8.65 inference(quant_inst,[status(thm)],[])).
% 8.44/8.65 tff(794,plain,
% 8.44/8.65 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))),
% 8.44/8.65 inference(modus_ponens,[status(thm)],[793, 792])).
% 8.44/8.65 tff(795,plain,
% 8.44/8.65 (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[794, 573, 644, 688])).
% 8.44/8.65 tff(796,plain,
% 8.44/8.65 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 8.44/8.65 inference(tautology,[status(thm)],[])).
% 8.44/8.65 tff(797,plain,
% 8.44/8.65 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[796, 795])).
% 8.44/8.65 tff(798,plain,
% 8.44/8.65 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 8.44/8.65 inference(tautology,[status(thm)],[])).
% 8.44/8.65 tff(799,plain,
% 8.44/8.65 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[798, 797])).
% 8.44/8.65 tff(800,plain,
% 8.44/8.65 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[799, 791])).
% 8.44/8.65 tff(801,plain,
% 8.44/8.65 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))) | ![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 8.44/8.65 inference(tautology,[status(thm)],[])).
% 8.44/8.65 tff(802,plain,
% 8.44/8.65 (![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[801, 800])).
% 8.44/8.65 tff(803,plain,
% 8.44/8.65 ((~![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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 8.44/8.65 inference(quant_inst,[status(thm)],[])).
% 8.44/8.65 tff(804,plain,
% 8.44/8.65 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[803, 276])).
% 8.44/8.65 tff(805,plain,
% 8.44/8.65 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))),
% 8.44/8.65 inference(tautology,[status(thm)],[])).
% 8.44/8.65 tff(806,plain,
% 8.44/8.65 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[805, 804])).
% 8.44/8.65 tff(807,plain,
% 8.44/8.65 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 8.44/8.65 inference(tautology,[status(thm)],[])).
% 8.44/8.65 tff(808,plain,
% 8.44/8.65 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 8.44/8.65 inference(unit_resolution,[status(thm)],[807, 686])).
% 8.44/8.65 tff(809,plain,
% 8.44/8.65 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 8.44/8.65 inference(tautology,[status(thm)],[])).
% 8.44/8.65 tff(810,plain,
% 8.44/8.65 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[809, 808])).
% 8.44/8.66 tff(811,plain,
% 8.44/8.66 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[810, 806])).
% 8.44/8.66 tff(812,plain,
% 8.44/8.66 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 8.44/8.66 inference(tautology,[status(thm)],[])).
% 8.44/8.66 tff(813,plain,
% 8.44/8.66 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[812, 811])).
% 8.44/8.66 tff(814,plain,
% 8.44/8.66 (((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(815,plain,
% 8.44/8.66 ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 8.44/8.66 inference(quant_inst,[status(thm)],[])).
% 8.44/8.66 tff(816,plain,
% 8.44/8.66 ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))),
% 8.44/8.66 inference(modus_ponens,[status(thm)],[815, 814])).
% 8.44/8.66 tff(817,plain,
% 8.44/8.66 (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[816, 813, 802])).
% 8.44/8.66 tff(818,plain,
% 8.44/8.66 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 8.44/8.66 inference(tautology,[status(thm)],[])).
% 8.44/8.66 tff(819,plain,
% 8.44/8.66 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[818, 800])).
% 8.44/8.66 tff(820,plain,
% 8.44/8.66 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(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(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))),
% 8.44/8.66 inference(tautology,[status(thm)],[])).
% 8.44/8.66 tff(821,plain,
% 8.44/8.66 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[820, 811])).
% 8.44/8.66 tff(822,plain,
% 8.44/8.66 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(823,plain,
% 8.44/8.66 (((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(824,plain,
% 8.44/8.66 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.44/8.66 inference(monotonicity,[status(thm)],[823])).
% 8.44/8.66 tff(825,plain,
% 8.44/8.66 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 8.44/8.66 inference(transitivity,[status(thm)],[824, 822])).
% 8.44/8.66 tff(826,plain,
% 8.44/8.66 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 8.44/8.66 inference(quant_inst,[status(thm)],[])).
% 8.44/8.66 tff(827,plain,
% 8.44/8.66 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 8.44/8.66 inference(modus_ponens,[status(thm)],[826, 825])).
% 8.44/8.66 tff(828,plain,
% 8.44/8.66 (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[827, 821, 819])).
% 8.44/8.66 tff(829,plain,
% 8.44/8.66 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))) | occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)),
% 8.44/8.66 inference(tautology,[status(thm)],[])).
% 8.44/8.66 tff(830,plain,
% 8.44/8.66 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[829, 795])).
% 8.44/8.66 tff(831,plain,
% 8.44/8.66 (^[X40: $i, X41: $i] : refl(((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 8.44/8.66 inference(bind,[status(th)],[])).
% 8.44/8.66 tff(832,plain,
% 8.44/8.66 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 8.44/8.66 inference(quant_intro,[status(thm)],[831])).
% 8.44/8.66 tff(833,plain,
% 8.44/8.66 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(834,plain,
% 8.44/8.66 (^[X40: $i, X41: $i] : rewrite((occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 8.44/8.66 inference(bind,[status(th)],[])).
% 8.44/8.66 tff(835,plain,
% 8.44/8.66 (![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 8.44/8.66 inference(quant_intro,[status(thm)],[834])).
% 8.44/8.66 tff(836,axiom,(![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 8.44/8.66 tff(837,plain,
% 8.44/8.66 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 8.44/8.66 inference(modus_ponens,[status(thm)],[836, 835])).
% 8.44/8.66 tff(838,plain,
% 8.44/8.66 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 8.44/8.66 inference(modus_ponens,[status(thm)],[837, 833])).
% 8.44/8.66 tff(839,plain,(
% 8.44/8.66 ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 8.44/8.66 inference(skolemize,[status(sab)],[838])).
% 8.44/8.66 tff(840,plain,
% 8.44/8.66 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 8.44/8.66 inference(modus_ponens,[status(thm)],[839, 832])).
% 8.44/8.66 tff(841,plain,
% 8.44/8.66 (((~![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_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)))),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(842,plain,
% 8.44/8.66 ((~![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_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)))),
% 8.44/8.66 inference(quant_inst,[status(thm)],[])).
% 8.44/8.66 tff(843,plain,
% 8.44/8.66 ((~![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_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1))),
% 8.44/8.66 inference(modus_ponens,[status(thm)],[842, 841])).
% 8.44/8.66 tff(844,plain,
% 8.44/8.66 (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[843, 840, 830])).
% 8.44/8.66 tff(845,plain,
% 8.44/8.66 (atomic(tptp1) <=> atomic(tptp1)),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(846,axiom,(atomic(tptp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_38')).
% 8.44/8.66 tff(847,plain,
% 8.44/8.66 (atomic(tptp1)),
% 8.44/8.66 inference(modus_ponens,[status(thm)],[846, 845])).
% 8.44/8.66 tff(848,plain,
% 8.44/8.66 ((~(arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~atomic(tptp1))),
% 8.44/8.66 inference(tautology,[status(thm)],[])).
% 8.44/8.66 tff(849,plain,
% 8.44/8.66 ((~(arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[848, 847])).
% 8.44/8.66 tff(850,plain,
% 8.44/8.66 (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[849, 844])).
% 8.44/8.66 tff(851,plain,
% 8.44/8.66 (((~![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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(852,plain,
% 8.44/8.66 ((~![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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 8.44/8.66 inference(quant_inst,[status(thm)],[])).
% 8.44/8.66 tff(853,plain,
% 8.44/8.66 ((~![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(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 8.44/8.66 inference(modus_ponens,[status(thm)],[852, 851])).
% 8.44/8.66 tff(854,plain,
% 8.44/8.66 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[853, 491, 808])).
% 8.44/8.66 tff(855,plain,
% 8.44/8.66 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.66 inference(tautology,[status(thm)],[])).
% 8.44/8.66 tff(856,plain,
% 8.44/8.66 (arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 8.44/8.66 inference(unit_resolution,[status(thm)],[855, 854])).
% 8.44/8.66 tff(857,plain,
% 8.44/8.66 (((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(858,plain,
% 8.44/8.66 (((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.44/8.66 inference(rewrite,[status(thm)],[])).
% 8.44/8.66 tff(859,plain,
% 8.44/8.66 (((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 8.44/8.66 inference(monotonicity,[status(thm)],[858])).
% 8.44/8.66 tff(860,plain,
% 8.44/8.66 (((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.44/8.66 inference(transitivity,[status(thm)],[859, 857])).
% 8.44/8.66 tff(861,plain,
% 8.44/8.66 ((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 8.44/8.67 inference(quant_inst,[status(thm)],[])).
% 8.44/8.67 tff(862,plain,
% 8.44/8.67 ((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_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_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 8.44/8.67 inference(modus_ponens,[status(thm)],[861, 860])).
% 8.44/8.67 tff(863,plain,
% 8.44/8.67 ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 8.44/8.67 inference(unit_resolution,[status(thm)],[862, 538, 856, 850, 593, 828, 817])).
% 8.44/8.67 tff(864,plain,
% 8.44/8.67 ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 8.44/8.67 inference(unit_resolution,[status(thm)],[863, 782])).
% 8.44/8.67 tff(865,plain,
% 8.44/8.67 ($false),
% 8.44/8.67 inference(unit_resolution,[status(thm)],[864, 764, 706])).
% 8.44/8.67 % SZS output end Proof
% 8.44/8.68 % E exiting
%------------------------------------------------------------------------------