%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO016+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:23:04 AM UTC 2025
% Result : Theorem 2.27s 2.48s
% Output : Proof 2.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO016+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 02:36:33 EDT 2025
% 0.11/0.33 % CPUTime :
% 2.27/2.48 % SZS status Theorem
% 2.27/2.48 % SZS output start Proof
% 2.27/2.48 tff(occurrence_of_type, type, (
% 2.27/2.48 occurrence_of: ( $i * $i ) > $o)).
% 2.27/2.48 tff(tptp_fun_X73_8_type, type, (
% 2.27/2.48 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 2.27/2.48 tff(tptp0_type, type, (
% 2.27/2.48 tptp0: $i)).
% 2.27/2.48 tff(tptp_fun_X98_15_type, type, (
% 2.27/2.48 tptp_fun_X98_15: ( $i * $i ) > $i)).
% 2.27/2.48 tff(tptp_fun_X100_18_type, type, (
% 2.27/2.48 tptp_fun_X100_18: $i)).
% 2.27/2.48 tff(tptp_fun_X101_17_type, type, (
% 2.27/2.48 tptp_fun_X101_17: $i)).
% 2.27/2.48 tff(tptp_fun_X99_14_type, type, (
% 2.27/2.48 tptp_fun_X99_14: ( $i * $i ) > $i)).
% 2.27/2.48 tff(subactivity_occurrence_type, type, (
% 2.27/2.48 subactivity_occurrence: ( $i * $i ) > $o)).
% 2.27/2.48 tff(leaf_type, type, (
% 2.27/2.48 leaf: ( $i * $i ) > $o)).
% 2.27/2.48 tff(leaf_occ_type, type, (
% 2.27/2.48 leaf_occ: ( $i * $i ) > $o)).
% 2.27/2.48 tff(tptp_fun_X44_3_type, type, (
% 2.27/2.48 tptp_fun_X44_3: ( $i * $i ) > $i)).
% 2.27/2.48 tff(tptp_fun_X37_2_type, type, (
% 2.27/2.48 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 2.27/2.48 tff(min_precedes_type, type, (
% 2.27/2.48 min_precedes: ( $i * $i * $i ) > $o)).
% 2.27/2.48 tff(tptp_fun_X53_6_type, type, (
% 2.27/2.48 tptp_fun_X53_6: $i > $i)).
% 2.27/2.48 tff(next_subocc_type, type, (
% 2.27/2.48 next_subocc: ( $i * $i * $i ) > $o)).
% 2.27/2.48 tff(tptp2_type, type, (
% 2.27/2.48 tptp2: $i)).
% 2.27/2.48 tff(tptp1_type, type, (
% 2.27/2.48 tptp1: $i)).
% 2.27/2.48 tff(tptp_fun_X97_16_type, type, (
% 2.27/2.48 tptp_fun_X97_16: ( $i * $i ) > $i)).
% 2.27/2.48 tff(tptp4_type, type, (
% 2.27/2.48 tptp4: $i)).
% 2.27/2.48 tff(tptp3_type, type, (
% 2.27/2.48 tptp3: $i)).
% 2.27/2.48 tff(tptp_fun_X105_20_type, type, (
% 2.27/2.48 tptp_fun_X105_20: $i > $i)).
% 2.27/2.48 tff(tptp_fun_X104_19_type, type, (
% 2.27/2.48 tptp_fun_X104_19: $i > $i)).
% 2.27/2.48 tff(arboreal_type, type, (
% 2.27/2.48 arboreal: $i > $o)).
% 2.27/2.48 tff(activity_type, type, (
% 2.27/2.48 activity: $i > $o)).
% 2.27/2.48 tff(activity_occurrence_type, type, (
% 2.27/2.48 activity_occurrence: $i > $o)).
% 2.27/2.48 tff(root_type, type, (
% 2.27/2.48 root: ( $i * $i ) > $o)).
% 2.27/2.48 tff(tptp_fun_X45_4_type, type, (
% 2.27/2.48 tptp_fun_X45_4: ( $i * $i ) > $i)).
% 2.27/2.48 tff(tptp_fun_X18_0_type, type, (
% 2.27/2.48 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 2.27/2.48 tff(atomic_type, type, (
% 2.27/2.48 atomic: $i > $o)).
% 2.27/2.48 tff(tptp_fun_X48_5_type, type, (
% 2.27/2.48 tptp_fun_X48_5: ( $i * $i ) > $i)).
% 2.27/2.48 tff(tptp_fun_X80_11_type, type, (
% 2.27/2.48 tptp_fun_X80_11: ( $i * $i * $i ) > $i)).
% 2.27/2.48 tff(subactivity_type, type, (
% 2.27/2.48 subactivity: ( $i * $i ) > $o)).
% 2.27/2.48 tff(atocc_type, type, (
% 2.27/2.48 atocc: ( $i * $i ) > $o)).
% 2.27/2.48 tff(tptp_fun_X81_10_type, type, (
% 2.27/2.48 tptp_fun_X81_10: ( $i * $i * $i ) > $i)).
% 2.27/2.48 tff(1,assumption,(![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))), introduced(assumption)).
% 2.27/2.48 tff(2,plain,
% 2.27/2.48 (^[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))))))))),
% 2.27/2.48 inference(bind,[status(th)],[])).
% 2.27/2.48 tff(3,plain,
% 2.27/2.48 (![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)))))))),
% 2.27/2.48 inference(quant_intro,[status(thm)],[2])).
% 2.27/2.48 tff(4,plain,
% 2.27/2.48 (^[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))))))))),
% 2.27/2.48 inference(bind,[status(th)],[])).
% 2.27/2.48 tff(5,plain,
% 2.27/2.48 (![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)))))))),
% 2.27/2.48 inference(quant_intro,[status(thm)],[4])).
% 2.27/2.48 tff(6,plain,
% 2.27/2.48 (![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)))))))),
% 2.27/2.48 inference(transitivity,[status(thm)],[5, 3])).
% 2.27/2.48 tff(7,plain,
% 2.27/2.48 (^[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)))))))))),
% 2.27/2.49 inference(bind,[status(th)],[])).
% 2.27/2.49 tff(8,plain,
% 2.27/2.49 (![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)))))))),
% 2.27/2.49 inference(quant_intro,[status(thm)],[7])).
% 2.27/2.49 tff(9,plain,
% 2.27/2.49 (![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)))),
% 2.27/2.49 inference(rewrite,[status(thm)],[])).
% 2.27/2.49 tff(10,plain,
% 2.27/2.49 (^[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))))),
% 2.27/2.49 inference(bind,[status(th)],[])).
% 2.27/2.49 tff(11,plain,
% 2.27/2.49 (![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)))),
% 2.27/2.49 inference(quant_intro,[status(thm)],[10])).
% 2.27/2.49 tff(12,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')).
% 2.27/2.49 tff(13,plain,
% 2.27/2.49 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[12, 11])).
% 2.27/2.49 tff(14,plain,
% 2.27/2.49 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[13, 9])).
% 2.27/2.49 tff(15,plain,(
% 2.27/2.49 ![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)))))),
% 2.27/2.49 inference(skolemize,[status(sab)],[14])).
% 2.27/2.49 tff(16,plain,
% 2.27/2.49 (![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)))))))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[15, 8])).
% 2.27/2.49 tff(17,plain,
% 2.27/2.49 (![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)))))))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[16, 6])).
% 2.27/2.49 tff(18,plain,
% 2.27/2.49 (((~![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_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))) | (~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))))) <=> ((~![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_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))) | (~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.27/2.49 inference(rewrite,[status(thm)],[])).
% 2.27/2.49 tff(19,plain,
% 2.27/2.49 ((~((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))))) <=> (~((~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))) | (~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))))),
% 2.27/2.49 inference(rewrite,[status(thm)],[])).
% 2.27/2.49 tff(20,plain,
% 2.27/2.49 (((~![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_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), 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_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))) | (~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.27/2.49 inference(monotonicity,[status(thm)],[19])).
% 2.27/2.49 tff(21,plain,
% 2.27/2.49 (((~![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_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), 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_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))) | (~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.27/2.49 inference(transitivity,[status(thm)],[20, 18])).
% 2.27/2.49 tff(22,plain,
% 2.27/2.49 ((~![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_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)))))))),
% 2.27/2.49 inference(quant_inst,[status(thm)],[])).
% 2.27/2.49 tff(23,plain,
% 2.27/2.49 ((~![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_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))) | (~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[22, 21])).
% 2.27/2.49 tff(24,plain,
% 2.27/2.49 (~((~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))) | (~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))),
% 2.27/2.49 inference(unit_resolution,[status(thm)],[23, 17])).
% 2.27/2.49 tff(25,plain,
% 2.27/2.49 (((~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))) | (~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | ((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.27/2.49 inference(tautology,[status(thm)],[])).
% 2.27/2.49 tff(26,plain,
% 2.27/2.49 ((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.27/2.49 inference(unit_resolution,[status(thm)],[25, 24])).
% 2.27/2.49 tff(27,plain,
% 2.27/2.49 (((occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17))) & ![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0)))) <=> (occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17)) & ![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))))),
% 2.27/2.49 inference(rewrite,[status(thm)],[])).
% 2.27/2.49 tff(28,plain,
% 2.27/2.49 (^[X102: $i, X103: $i] : trans(monotonicity(rewrite((occurrence_of(X103, tptp1) & (occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0))) <=> (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0))), rewrite((occurrence_of(X103, tptp2) & (occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))) <=> (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))), (((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & (occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0))) | (occurrence_of(X103, tptp2) & (occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0)))) <=> ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))))), rewrite(((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))) <=> ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0)))), (((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & (occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0))) | (occurrence_of(X103, tptp2) & (occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0)))) <=> ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0)))))),
% 2.27/2.49 inference(bind,[status(th)],[])).
% 2.27/2.49 tff(29,plain,
% 2.27/2.49 (![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & (occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0))) | (occurrence_of(X103, tptp2) & (occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0)))) <=> ![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0)))),
% 2.27/2.49 inference(quant_intro,[status(thm)],[28])).
% 2.27/2.49 tff(30,plain,
% 2.27/2.49 (((occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17))) & ![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & (occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0))) | (occurrence_of(X103, tptp2) & (occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))))) <=> ((occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17))) & ![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))))),
% 2.27/2.49 inference(monotonicity,[status(thm)],[29])).
% 2.27/2.49 tff(31,plain,
% 2.27/2.49 (((occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17))) & ![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & (occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0))) | (occurrence_of(X103, tptp2) & (occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))))) <=> (occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17)) & ![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0))))),
% 2.27/2.49 inference(transitivity,[status(thm)],[30, 27])).
% 2.27/2.49 tff(32,plain,
% 2.27/2.49 ((~![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2)) & min_precedes(X102, X103, tptp0) & leaf_occ(X103, X101) & ((~occurrence_of(X103, tptp1)) | (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0)))) & ((~occurrence_of(X103, tptp2)) | (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0))))))) <=> (~![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2)) & min_precedes(X102, X103, tptp0) & leaf_occ(X103, X101) & ((~occurrence_of(X103, tptp1)) | (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0)))) & ((~occurrence_of(X103, tptp2)) | (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0)))))))),
% 2.27/2.49 inference(rewrite,[status(thm)],[])).
% 2.27/2.49 tff(33,plain,
% 2.27/2.49 ((~![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i, X103: $i] : ((((((occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0)) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) & min_precedes(X102, X103, tptp0)) & leaf_occ(X103, X101)) & (occurrence_of(X103, tptp1) => (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0))))) & (occurrence_of(X103, tptp2) => (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0))))))) <=> (~![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2)) & min_precedes(X102, X103, tptp0) & leaf_occ(X103, X101) & ((~occurrence_of(X103, tptp1)) | (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0)))) & ((~occurrence_of(X103, tptp2)) | (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0)))))))),
% 2.27/2.49 inference(rewrite,[status(thm)],[])).
% 2.27/2.49 tff(34,axiom,(~![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i, X103: $i] : ((((((occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0)) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) & min_precedes(X102, X103, tptp0)) & leaf_occ(X103, X101)) & (occurrence_of(X103, tptp1) => (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0))))) & (occurrence_of(X103, tptp2) => (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 2.27/2.49 tff(35,plain,
% 2.27/2.49 (~![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2)) & min_precedes(X102, X103, tptp0) & leaf_occ(X103, X101) & ((~occurrence_of(X103, tptp1)) | (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0)))) & ((~occurrence_of(X103, tptp2)) | (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0))))))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[34, 33])).
% 2.27/2.49 tff(36,plain,
% 2.27/2.49 (~![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2)) & min_precedes(X102, X103, tptp0) & leaf_occ(X103, X101) & ((~occurrence_of(X103, tptp1)) | (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0)))) & ((~occurrence_of(X103, tptp2)) | (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0))))))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[35, 32])).
% 2.27/2.49 tff(37,plain,
% 2.27/2.49 (~![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2)) & min_precedes(X102, X103, tptp0) & leaf_occ(X103, X101) & ((~occurrence_of(X103, tptp1)) | (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0)))) & ((~occurrence_of(X103, tptp2)) | (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0))))))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[36, 32])).
% 2.27/2.49 tff(38,plain,
% 2.27/2.49 (~![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp3) & next_subocc(X100, X102, tptp0) & (occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2)) & min_precedes(X102, X103, tptp0) & leaf_occ(X103, X101) & ((~occurrence_of(X103, tptp1)) | (~?[X104: $i] : (occurrence_of(X104, tptp2) & min_precedes(X102, X104, tptp0)))) & ((~occurrence_of(X103, tptp2)) | (~?[X105: $i] : (occurrence_of(X105, tptp1) & min_precedes(X102, X105, tptp0))))))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[37, 32])).
% 2.27/2.49 tff(39,plain,
% 2.27/2.49 (occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17)) & ![X102: $i, X103: $i] : ((~occurrence_of(X102, tptp3)) | (~next_subocc(X100!18, X102, tptp0)) | (~(occurrence_of(X103, tptp1) | occurrence_of(X103, tptp2))) | (~min_precedes(X102, X103, tptp0)) | (~leaf_occ(X103, X101!17)) | (occurrence_of(X103, tptp1) & occurrence_of(tptp_fun_X104_19(X102), tptp2) & min_precedes(X102, tptp_fun_X104_19(X102), tptp0)) | (occurrence_of(X103, tptp2) & occurrence_of(tptp_fun_X105_20(X102), tptp1) & min_precedes(X102, tptp_fun_X105_20(X102), tptp0)))),
% 2.27/2.49 inference(modus_ponens,[status(thm)],[38, 31])).
% 2.27/2.49 tff(40,plain,
% 2.27/2.49 (~leaf_occ(X100!18, X101!17)),
% 2.27/2.49 inference(and_elim,[status(thm)],[39])).
% 2.27/2.49 tff(41,plain,
% 2.27/2.49 (arboreal(X100!18)),
% 2.27/2.49 inference(and_elim,[status(thm)],[39])).
% 2.27/2.49 tff(42,plain,
% 2.27/2.49 (subactivity_occurrence(X100!18, X101!17)),
% 2.27/2.49 inference(and_elim,[status(thm)],[39])).
% 2.27/2.49 tff(43,plain,
% 2.27/2.49 (occurrence_of(X101!17, tptp0)),
% 2.27/2.49 inference(and_elim,[status(thm)],[39])).
% 2.27/2.49 tff(44,plain,
% 2.27/2.49 (^[X95: $i, X96: $i] : refl((leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96))))) <=> (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96))))))),
% 2.27/2.49 inference(bind,[status(th)],[])).
% 2.27/2.49 tff(45,plain,
% 2.27/2.49 (![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96))))) <=> ![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))),
% 2.27/2.49 inference(quant_intro,[status(thm)],[44])).
% 2.27/2.49 tff(46,plain,
% 2.27/2.49 (^[X95: $i, X96: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96))) <=> (~(leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0))))), ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) <=> (~(~(leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0))))))), rewrite((~(~(leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0))))) <=> (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)))), ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) <=> (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0))))), rewrite((occurrence_of(tptp_fun_X97_16(X96, X95), tptp3) & next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0) & occurrence_of(tptp_fun_X98_15(X96, X95), tptp4) & next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0) & (occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2)) & next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0) & leaf_occ(tptp_fun_X99_14(X96, X95), X96)) <=> (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96))))), (((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | (occurrence_of(tptp_fun_X97_16(X96, X95), tptp3) & next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0) & occurrence_of(tptp_fun_X98_15(X96, X95), tptp4) & next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0) & (occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2)) & next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0) & leaf_occ(tptp_fun_X99_14(X96, X95), X96))) <=> ((leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0))) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96))))))), rewrite(((leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0))) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96))))) <=> (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))), (((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | (occurrence_of(tptp_fun_X97_16(X96, X95), tptp3) & next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0) & occurrence_of(tptp_fun_X98_15(X96, X95), tptp4) & next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0) & (occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2)) & next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0) & leaf_occ(tptp_fun_X99_14(X96, X95), X96))) <=> (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))))),
% 2.27/2.49 inference(bind,[status(th)],[])).
% 2.27/2.49 tff(47,plain,
% 2.27/2.49 (![X95: $i, X96: $i] : ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | (occurrence_of(tptp_fun_X97_16(X96, X95), tptp3) & next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0) & occurrence_of(tptp_fun_X98_15(X96, X95), tptp4) & next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0) & (occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2)) & next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0) & leaf_occ(tptp_fun_X99_14(X96, X95), X96))) <=> ![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))),
% 2.27/2.49 inference(quant_intro,[status(thm)],[46])).
% 2.27/2.49 tff(48,plain,
% 2.27/2.49 (![X95: $i, X96: $i] : ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96))) <=> ![X95: $i, X96: $i] : ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96)))),
% 2.27/2.49 inference(rewrite,[status(thm)],[])).
% 2.27/2.49 tff(49,plain,
% 2.27/2.49 (^[X95: $i, X96: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96)) & arboreal(X95)) <=> (occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95))), ((((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96)) & arboreal(X95)) & (~leaf_occ(X95, X96))) <=> ((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95)) & (~leaf_occ(X95, X96))))), rewrite(((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95)) & (~leaf_occ(X95, X96))) <=> (occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))), ((((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96)) & arboreal(X95)) & (~leaf_occ(X95, X96))) <=> (occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96))))), quant_intro(proof_bind(^[X97: $i, X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4))), ((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) <=> ((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)))), rewrite(((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0))), ((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0)))), (((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) <=> ((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))))), rewrite(((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)))), (((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))))), ((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) <=> ((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)))), rewrite(((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0))), ((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0)))), (((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96)) <=> ((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96)))), rewrite(((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96)) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96))), (((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96)) <=> (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96))))), (?[X97: $i, X98: $i, X99: $i] : ((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96)) <=> ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96)))), (((((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96)) & arboreal(X95)) & (~leaf_occ(X95, X96))) => ?[X97: $i, X98: $i, X99: $i] : ((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96))) <=> ((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96))) => ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96))))), rewrite(((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96))) => ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96))) <=> ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96)))), (((((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96)) & arboreal(X95)) & (~leaf_occ(X95, X96))) => ?[X97: $i, X98: $i, X99: $i] : ((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96))) <=> ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96)))))),
% 2.27/2.50 inference(bind,[status(th)],[])).
% 2.27/2.50 tff(50,plain,
% 2.27/2.50 (![X95: $i, X96: $i] : ((((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96)) & arboreal(X95)) & (~leaf_occ(X95, X96))) => ?[X97: $i, X98: $i, X99: $i] : ((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96))) <=> ![X95: $i, X96: $i] : ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96)))),
% 2.27/2.50 inference(quant_intro,[status(thm)],[49])).
% 2.27/2.50 tff(51,axiom,(![X95: $i, X96: $i] : ((((occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96)) & arboreal(X95)) & (~leaf_occ(X95, X96))) => ?[X97: $i, X98: $i, X99: $i] : ((((((occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0)) & occurrence_of(X98, tptp4)) & next_subocc(X97, X98, tptp0)) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2))) & next_subocc(X98, X99, tptp0)) & leaf_occ(X99, X96)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_32')).
% 2.27/2.50 tff(52,plain,
% 2.27/2.50 (![X95: $i, X96: $i] : ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96)))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[51, 50])).
% 2.27/2.50 tff(53,plain,
% 2.27/2.50 (![X95: $i, X96: $i] : ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | ?[X97: $i, X98: $i, X99: $i] : (occurrence_of(X97, tptp3) & next_subocc(X95, X97, tptp0) & occurrence_of(X98, tptp4) & next_subocc(X97, X98, tptp0) & (occurrence_of(X99, tptp1) | occurrence_of(X99, tptp2)) & next_subocc(X98, X99, tptp0) & leaf_occ(X99, X96)))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[52, 48])).
% 2.27/2.50 tff(54,plain,(
% 2.27/2.50 ![X95: $i, X96: $i] : ((~(occurrence_of(X96, tptp0) & subactivity_occurrence(X95, X96) & arboreal(X95) & (~leaf_occ(X95, X96)))) | (occurrence_of(tptp_fun_X97_16(X96, X95), tptp3) & next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0) & occurrence_of(tptp_fun_X98_15(X96, X95), tptp4) & next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0) & (occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2)) & next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0) & leaf_occ(tptp_fun_X99_14(X96, X95), X96)))),
% 2.27/2.50 inference(skolemize,[status(sab)],[53])).
% 2.27/2.50 tff(55,plain,
% 2.27/2.50 (![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[54, 47])).
% 2.27/2.50 tff(56,plain,
% 2.27/2.50 (![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[55, 45])).
% 2.27/2.50 tff(57,plain,
% 2.27/2.50 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(X100!18, X101!17) | (~occurrence_of(X101!17, tptp0)) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | leaf_occ(X100!18, X101!17) | (~occurrence_of(X101!17, tptp0)) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))),
% 2.27/2.50 inference(rewrite,[status(thm)],[])).
% 2.27/2.50 tff(58,plain,
% 2.27/2.50 ((leaf_occ(X100!18, X101!17) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17))))) <=> (leaf_occ(X100!18, X101!17) | (~occurrence_of(X101!17, tptp0)) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))),
% 2.27/2.50 inference(rewrite,[status(thm)],[])).
% 2.27/2.50 tff(59,plain,
% 2.27/2.50 ((~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))) <=> (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17))))),
% 2.27/2.50 inference(rewrite,[status(thm)],[])).
% 2.27/2.50 tff(60,plain,
% 2.27/2.50 ((leaf_occ(X100!18, X101!17) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17))))) <=> (leaf_occ(X100!18, X101!17) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))),
% 2.27/2.50 inference(monotonicity,[status(thm)],[59])).
% 2.27/2.50 tff(61,plain,
% 2.27/2.50 ((leaf_occ(X100!18, X101!17) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17))))) <=> (leaf_occ(X100!18, X101!17) | (~occurrence_of(X101!17, tptp0)) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))),
% 2.27/2.50 inference(transitivity,[status(thm)],[60, 58])).
% 2.27/2.50 tff(62,plain,
% 2.27/2.50 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(X100!18, X101!17) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(X100!18, X101!17) | (~occurrence_of(X101!17, tptp0)) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17))))))),
% 2.27/2.50 inference(monotonicity,[status(thm)],[61])).
% 2.27/2.50 tff(63,plain,
% 2.27/2.50 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(X100!18, X101!17) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | leaf_occ(X100!18, X101!17) | (~occurrence_of(X101!17, tptp0)) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))),
% 2.27/2.50 inference(transitivity,[status(thm)],[62, 57])).
% 2.27/2.50 tff(64,plain,
% 2.27/2.50 ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(X100!18, X101!17) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))))),
% 2.27/2.50 inference(quant_inst,[status(thm)],[])).
% 2.27/2.50 tff(65,plain,
% 2.27/2.50 ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | leaf_occ(X100!18, X101!17) | (~occurrence_of(X101!17, tptp0)) | (~subactivity_occurrence(X100!18, X101!17)) | (~arboreal(X100!18)) | (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17))))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[64, 63])).
% 2.27/2.50 tff(66,plain,
% 2.27/2.50 (~((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)))),
% 2.27/2.50 inference(unit_resolution,[status(thm)],[65, 56, 43, 42, 41, 40])).
% 2.27/2.50 tff(67,plain,
% 2.27/2.50 (((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17))) | leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)),
% 2.27/2.50 inference(tautology,[status(thm)],[])).
% 2.27/2.50 tff(68,plain,
% 2.27/2.50 (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)),
% 2.27/2.50 inference(unit_resolution,[status(thm)],[67, 66])).
% 2.27/2.50 tff(69,plain,
% 2.27/2.50 ((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.27/2.50 inference(tautology,[status(thm)],[])).
% 2.27/2.50 tff(70,plain,
% 2.27/2.50 ((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.27/2.50 inference(unit_resolution,[status(thm)],[69, 68])).
% 2.27/2.50 tff(71,plain,
% 2.27/2.50 (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.27/2.50 inference(unit_resolution,[status(thm)],[70, 26])).
% 2.27/2.50 tff(72,plain,
% 2.27/2.50 (((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.50 inference(tautology,[status(thm)],[])).
% 2.27/2.50 tff(73,plain,
% 2.27/2.50 (occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.50 inference(unit_resolution,[status(thm)],[72, 71])).
% 2.27/2.50 tff(74,plain,
% 2.27/2.50 (^[X89: $i, X90: $i] : refl(((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 2.27/2.50 inference(bind,[status(th)],[])).
% 2.27/2.50 tff(75,plain,
% 2.27/2.50 (![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)))))),
% 2.27/2.50 inference(quant_intro,[status(thm)],[74])).
% 2.27/2.50 tff(76,plain,
% 2.27/2.50 (^[X89: $i, X90: $i] : rewrite(((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 2.27/2.50 inference(bind,[status(th)],[])).
% 2.27/2.50 tff(77,plain,
% 2.27/2.50 (![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)))))),
% 2.27/2.50 inference(quant_intro,[status(thm)],[76])).
% 2.27/2.50 tff(78,plain,
% 2.27/2.50 (![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)))),
% 2.27/2.50 inference(rewrite,[status(thm)],[])).
% 2.27/2.50 tff(79,plain,
% 2.27/2.50 (^[X89: $i, X90: $i] : rewrite((occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))))),
% 2.27/2.50 inference(bind,[status(th)],[])).
% 2.27/2.50 tff(80,plain,
% 2.27/2.50 (![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)))),
% 2.27/2.50 inference(quant_intro,[status(thm)],[79])).
% 2.27/2.50 tff(81,axiom,(![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_29')).
% 2.27/2.50 tff(82,plain,
% 2.27/2.50 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[81, 80])).
% 2.27/2.50 tff(83,plain,
% 2.27/2.50 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[82, 78])).
% 2.27/2.50 tff(84,plain,(
% 2.27/2.50 ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 2.27/2.50 inference(skolemize,[status(sab)],[83])).
% 2.27/2.50 tff(85,plain,
% 2.27/2.50 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[84, 77])).
% 2.27/2.50 tff(86,plain,
% 2.27/2.50 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 2.27/2.50 inference(modus_ponens,[status(thm)],[85, 75])).
% 2.27/2.51 tff(87,plain,
% 2.27/2.51 (((~![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)))))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(88,plain,
% 2.27/2.51 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))),
% 2.27/2.51 inference(quant_inst,[status(thm)],[])).
% 2.27/2.51 tff(89,plain,
% 2.27/2.51 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17))))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[88, 87])).
% 2.27/2.51 tff(90,plain,
% 2.27/2.51 (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))),
% 2.27/2.51 inference(unit_resolution,[status(thm)],[89, 86, 43])).
% 2.27/2.51 tff(91,plain,
% 2.27/2.51 (((~activity(tptp0)) | (~activity_occurrence(X101!17))) | activity_occurrence(X101!17)),
% 2.27/2.51 inference(tautology,[status(thm)],[])).
% 2.27/2.51 tff(92,plain,
% 2.27/2.51 (activity_occurrence(X101!17)),
% 2.27/2.51 inference(unit_resolution,[status(thm)],[91, 90])).
% 2.27/2.51 tff(93,plain,
% 2.27/2.51 (^[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)))))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(94,plain,
% 2.27/2.51 (![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))))))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[93])).
% 2.27/2.51 tff(95,plain,
% 2.27/2.51 (^[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)))))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(96,plain,
% 2.27/2.51 (![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))))))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[95])).
% 2.27/2.51 tff(97,plain,
% 2.27/2.51 (![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)))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(98,plain,
% 2.27/2.51 (^[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))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(99,plain,
% 2.27/2.51 (![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)))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[98])).
% 2.27/2.51 tff(100,axiom,(![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_18')).
% 2.27/2.51 tff(101,plain,
% 2.27/2.51 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[100, 99])).
% 2.27/2.51 tff(102,plain,
% 2.27/2.51 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[101, 97])).
% 2.27/2.51 tff(103,plain,(
% 2.27/2.51 ![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52))))),
% 2.27/2.51 inference(skolemize,[status(sab)],[102])).
% 2.27/2.51 tff(104,plain,
% 2.27/2.51 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[103, 96])).
% 2.27/2.51 tff(105,plain,
% 2.27/2.51 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[104, 94])).
% 2.27/2.51 tff(106,plain,
% 2.27/2.51 (((~![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))))))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(107,plain,
% 2.27/2.51 ((~![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))))))),
% 2.27/2.51 inference(quant_inst,[status(thm)],[])).
% 2.27/2.51 tff(108,plain,
% 2.27/2.51 ((~![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)))))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[107, 106])).
% 2.27/2.51 tff(109,plain,
% 2.27/2.51 (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 2.27/2.51 inference(unit_resolution,[status(thm)],[108, 105, 92])).
% 2.27/2.51 tff(110,plain,
% 2.27/2.51 (((~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))),
% 2.27/2.51 inference(tautology,[status(thm)],[])).
% 2.27/2.51 tff(111,plain,
% 2.27/2.51 (occurrence_of(X101!17, tptp_fun_X53_6(X101!17))),
% 2.27/2.51 inference(unit_resolution,[status(thm)],[110, 109])).
% 2.27/2.51 tff(112,plain,
% 2.27/2.51 (^[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))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(113,plain,
% 2.27/2.51 (![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)))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[112])).
% 2.27/2.51 tff(114,plain,
% 2.27/2.51 (^[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)))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(115,plain,
% 2.27/2.51 (![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)))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[114])).
% 2.27/2.51 tff(116,plain,
% 2.27/2.51 (![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))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(117,plain,
% 2.27/2.51 (^[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)))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(118,plain,
% 2.27/2.51 (![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))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[117])).
% 2.27/2.51 tff(119,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')).
% 2.27/2.51 tff(120,plain,
% 2.27/2.51 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[119, 118])).
% 2.27/2.51 tff(121,plain,
% 2.27/2.51 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[120, 116])).
% 2.27/2.51 tff(122,plain,(
% 2.27/2.51 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 2.27/2.51 inference(skolemize,[status(sab)],[121])).
% 2.27/2.51 tff(123,plain,
% 2.27/2.51 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[122, 115])).
% 2.27/2.51 tff(124,plain,
% 2.27/2.51 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[123, 113])).
% 2.27/2.51 tff(125,plain,
% 2.27/2.51 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(126,plain,
% 2.27/2.51 (((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))) <=> ((~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(127,plain,
% 2.27/2.51 (((~![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_X99_14(X101!17, X100!18))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~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_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.27/2.51 inference(monotonicity,[status(thm)],[126])).
% 2.27/2.51 tff(128,plain,
% 2.27/2.51 (((~![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_X99_14(X101!17, X100!18))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~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_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))),
% 2.27/2.51 inference(transitivity,[status(thm)],[127, 125])).
% 2.27/2.51 tff(129,plain,
% 2.27/2.51 ((~![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_X99_14(X101!17, X100!18))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 2.27/2.51 inference(quant_inst,[status(thm)],[])).
% 2.27/2.51 tff(130,plain,
% 2.27/2.51 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[129, 128])).
% 2.27/2.51 tff(131,plain,
% 2.27/2.51 (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))),
% 2.27/2.51 inference(unit_resolution,[status(thm)],[130, 124, 111, 73])).
% 2.27/2.51 tff(132,plain,
% 2.27/2.51 (((~![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))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(133,plain,
% 2.27/2.51 (((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))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(134,plain,
% 2.27/2.51 (((~![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)))),
% 2.27/2.51 inference(monotonicity,[status(thm)],[133])).
% 2.27/2.51 tff(135,plain,
% 2.27/2.51 (((~![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))),
% 2.27/2.51 inference(transitivity,[status(thm)],[134, 132])).
% 2.27/2.51 tff(136,plain,
% 2.27/2.51 ((~![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))))),
% 2.27/2.51 inference(quant_inst,[status(thm)],[])).
% 2.27/2.51 tff(137,plain,
% 2.27/2.51 ((~![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)),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[136, 135])).
% 2.27/2.51 tff(138,plain,
% 2.27/2.51 (tptp_fun_X53_6(X101!17) = tptp0),
% 2.27/2.51 inference(unit_resolution,[status(thm)],[137, 124, 43, 111])).
% 2.27/2.51 tff(139,plain,
% 2.27/2.51 (tptp0 = tptp_fun_X53_6(X101!17)),
% 2.27/2.51 inference(symmetry,[status(thm)],[138])).
% 2.27/2.51 tff(140,plain,
% 2.27/2.51 (tptp0 = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))),
% 2.27/2.51 inference(transitivity,[status(thm)],[139, 131])).
% 2.27/2.51 tff(141,plain,
% 2.27/2.51 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0) <=> min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.51 inference(monotonicity,[status(thm)],[140])).
% 2.27/2.51 tff(142,plain,
% 2.27/2.51 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) <=> min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.51 inference(symmetry,[status(thm)],[141])).
% 2.27/2.51 tff(143,plain,
% 2.27/2.51 (^[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))))))))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(144,plain,
% 2.27/2.51 (![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)))))))))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[143])).
% 2.27/2.51 tff(145,plain,
% 2.27/2.51 (^[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))))))))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(146,plain,
% 2.27/2.51 (![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)))))))))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[145])).
% 2.27/2.51 tff(147,plain,
% 2.27/2.51 (![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)))))))))),
% 2.27/2.51 inference(transitivity,[status(thm)],[146, 144])).
% 2.27/2.51 tff(148,plain,
% 2.27/2.51 (^[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)))))))))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(149,plain,
% 2.27/2.51 (![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)))))))))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[148])).
% 2.27/2.51 tff(150,plain,
% 2.27/2.51 (^[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))))),
% 2.27/2.51 inference(bind,[status(th)],[])).
% 2.27/2.51 tff(151,plain,
% 2.27/2.51 (![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)))),
% 2.27/2.51 inference(quant_intro,[status(thm)],[150])).
% 2.27/2.51 tff(152,plain,
% 2.27/2.51 (![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))))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(153,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')).
% 2.27/2.51 tff(154,plain,
% 2.27/2.51 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[153, 152])).
% 2.27/2.51 tff(155,plain,(
% 2.27/2.51 ![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))))),
% 2.27/2.51 inference(skolemize,[status(sab)],[154])).
% 2.27/2.51 tff(156,plain,
% 2.27/2.51 (![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)))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[155, 151])).
% 2.27/2.51 tff(157,plain,
% 2.27/2.51 (![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)))))))))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[156, 149])).
% 2.27/2.51 tff(158,plain,
% 2.27/2.51 (![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)))))))))),
% 2.27/2.51 inference(modus_ponens,[status(thm)],[157, 147])).
% 2.27/2.51 tff(159,plain,
% 2.27/2.51 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))) <=> ((~![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_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(160,plain,
% 2.27/2.51 ((~((~((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))))) <=> (~((~((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))),
% 2.27/2.51 inference(rewrite,[status(thm)],[])).
% 2.27/2.51 tff(161,plain,
% 2.27/2.51 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))))) <=> ((~![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_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))))),
% 2.27/2.51 inference(monotonicity,[status(thm)],[160])).
% 2.27/2.51 tff(162,plain,
% 2.27/2.51 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))))) <=> ((~![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_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))))),
% 2.27/2.51 inference(transitivity,[status(thm)],[161, 159])).
% 2.27/2.51 tff(163,plain,
% 2.27/2.51 ((~![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_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.27/2.51 inference(quant_inst,[status(thm)],[])).
% 2.27/2.51 tff(164,plain,
% 2.27/2.51 ((~![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_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[163, 162])).
% 2.27/2.52 tff(165,plain,
% 2.27/2.52 (~((~((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[164, 158])).
% 2.27/2.52 tff(166,plain,
% 2.27/2.52 (((~((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(167,plain,
% 2.27/2.52 ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[166, 165])).
% 2.27/2.52 tff(168,plain,
% 2.27/2.52 (((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), X101!17)) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(169,plain,
% 2.27/2.52 (leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[168, 71])).
% 2.27/2.52 tff(170,plain,
% 2.27/2.52 ((~((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(171,plain,
% 2.27/2.52 ((~((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))))) | (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[170, 169])).
% 2.27/2.52 tff(172,plain,
% 2.27/2.52 (~((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[171, 167])).
% 2.27/2.52 tff(173,plain,
% 2.27/2.52 (((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X99_14(X101!17, X100!18), X45, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))))) | (root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(174,plain,
% 2.27/2.52 (root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[173, 172])).
% 2.27/2.52 tff(175,plain,
% 2.27/2.52 (tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)) = tptp_fun_X53_6(X101!17)),
% 2.27/2.52 inference(symmetry,[status(thm)],[131])).
% 2.27/2.52 tff(176,plain,
% 2.27/2.52 (tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)) = tptp0),
% 2.27/2.52 inference(transitivity,[status(thm)],[175, 138])).
% 2.27/2.52 tff(177,plain,
% 2.27/2.52 (root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) <=> root(tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.52 inference(monotonicity,[status(thm)],[176])).
% 2.27/2.52 tff(178,plain,
% 2.27/2.52 (root(tptp_fun_X99_14(X101!17, X100!18), tptp0) <=> root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.52 inference(symmetry,[status(thm)],[177])).
% 2.27/2.52 tff(179,plain,
% 2.27/2.52 ((~root(tptp_fun_X99_14(X101!17, X100!18), tptp0)) <=> (~root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))),
% 2.27/2.52 inference(monotonicity,[status(thm)],[178])).
% 2.27/2.52 tff(180,plain,
% 2.27/2.52 (^[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)))))))))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(181,plain,
% 2.27/2.52 (![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))))))))))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[180])).
% 2.27/2.52 tff(182,plain,
% 2.27/2.52 (^[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)))))))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(183,plain,
% 2.27/2.52 (![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))))))))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[182])).
% 2.27/2.52 tff(184,plain,
% 2.27/2.52 (^[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)))))))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(185,plain,
% 2.27/2.52 (![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))))))))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[184])).
% 2.27/2.52 tff(186,plain,
% 2.27/2.52 (![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))))))))),
% 2.27/2.52 inference(transitivity,[status(thm)],[185, 183])).
% 2.27/2.52 tff(187,plain,
% 2.27/2.52 (^[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))))))))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(188,plain,
% 2.27/2.52 (![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))))))))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[187])).
% 2.27/2.52 tff(189,plain,
% 2.27/2.52 (^[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)))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(190,plain,
% 2.27/2.52 (![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))))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[189])).
% 2.27/2.52 tff(191,plain,
% 2.27/2.52 (![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)))))),
% 2.27/2.52 inference(rewrite,[status(thm)],[])).
% 2.27/2.52 tff(192,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')).
% 2.27/2.52 tff(193,plain,
% 2.27/2.52 (![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)))))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[192, 191])).
% 2.27/2.52 tff(194,plain,(
% 2.27/2.52 ![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)))))),
% 2.27/2.52 inference(skolemize,[status(sab)],[193])).
% 2.27/2.52 tff(195,plain,
% 2.27/2.52 (![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))))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[194, 190])).
% 2.27/2.52 tff(196,plain,
% 2.27/2.52 (![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))))))))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[195, 188])).
% 2.27/2.52 tff(197,plain,
% 2.27/2.52 (![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))))))))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[196, 186])).
% 2.27/2.52 tff(198,plain,
% 2.27/2.52 (![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))))))))))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[197, 181])).
% 2.27/2.52 tff(199,plain,
% 2.27/2.52 ((~![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_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0))))))))))),
% 2.27/2.52 inference(quant_inst,[status(thm)],[])).
% 2.27/2.52 tff(200,plain,
% 2.27/2.52 (~((~(next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))))))))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[199, 198])).
% 2.27/2.52 tff(201,plain,
% 2.27/2.52 (((~(next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))))))),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(202,plain,
% 2.27/2.52 ((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0))))))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[201, 200])).
% 2.27/2.52 tff(203,plain,
% 2.27/2.52 (((~occurrence_of(tptp_fun_X97_16(X101!17, X100!18), tptp3)) | (~next_subocc(X100!18, tptp_fun_X97_16(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X101!17, X100!18), tptp4)) | (~next_subocc(tptp_fun_X97_16(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp1) | occurrence_of(tptp_fun_X99_14(X101!17, X100!18), tptp2))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17))) | next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(204,plain,
% 2.27/2.52 (next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[203, 66])).
% 2.27/2.52 tff(205,plain,
% 2.27/2.52 ((~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0))))))),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(206,plain,
% 2.27/2.52 ((~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0))))))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[205, 204])).
% 2.27/2.52 tff(207,plain,
% 2.27/2.52 (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[206, 202])).
% 2.27/2.52 tff(208,plain,
% 2.27/2.52 (((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0))))) | min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(209,plain,
% 2.27/2.52 (min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[208, 207])).
% 2.27/2.52 tff(210,plain,
% 2.27/2.52 (^[X25: $i, X26: $i, X27: $i] : refl(((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(211,plain,
% 2.27/2.52 (![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)))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[210])).
% 2.27/2.52 tff(212,plain,
% 2.27/2.52 (![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)))),
% 2.27/2.52 inference(rewrite,[status(thm)],[])).
% 2.27/2.52 tff(213,plain,
% 2.27/2.52 (^[X25: $i, X26: $i, X27: $i] : rewrite((min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(214,plain,
% 2.27/2.52 (![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)))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[213])).
% 2.27/2.52 tff(215,axiom,(![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 2.27/2.52 tff(216,plain,
% 2.27/2.52 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[215, 214])).
% 2.27/2.52 tff(217,plain,
% 2.27/2.52 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[216, 212])).
% 2.27/2.52 tff(218,plain,(
% 2.27/2.52 ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 2.27/2.52 inference(skolemize,[status(sab)],[217])).
% 2.27/2.52 tff(219,plain,
% 2.27/2.52 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[218, 211])).
% 2.27/2.52 tff(220,plain,
% 2.27/2.52 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)))),
% 2.27/2.52 inference(rewrite,[status(thm)],[])).
% 2.27/2.52 tff(221,plain,
% 2.27/2.52 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)))),
% 2.27/2.52 inference(quant_inst,[status(thm)],[])).
% 2.27/2.52 tff(222,plain,
% 2.27/2.52 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[221, 220])).
% 2.27/2.52 tff(223,plain,
% 2.27/2.52 (~root(tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[222, 219, 209])).
% 2.27/2.52 tff(224,plain,
% 2.27/2.52 (~root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[223, 179])).
% 2.27/2.52 tff(225,plain,
% 2.27/2.52 ((~(root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))))) | root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.52 inference(tautology,[status(thm)],[])).
% 2.27/2.52 tff(226,plain,
% 2.27/2.52 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.52 inference(unit_resolution,[status(thm)],[225, 224, 174])).
% 2.27/2.52 tff(227,plain,
% 2.27/2.52 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.52 inference(modus_ponens,[status(thm)],[226, 142])).
% 2.27/2.52 tff(228,plain,
% 2.27/2.52 (^[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)))))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(229,plain,
% 2.27/2.52 (![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))))))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[228])).
% 2.27/2.52 tff(230,plain,
% 2.27/2.52 (^[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)))))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(231,plain,
% 2.27/2.52 (![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))))))),
% 2.27/2.52 inference(quant_intro,[status(thm)],[230])).
% 2.27/2.52 tff(232,plain,
% 2.27/2.52 (![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)))),
% 2.27/2.52 inference(rewrite,[status(thm)],[])).
% 2.27/2.52 tff(233,plain,
% 2.27/2.52 (^[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)))))),
% 2.27/2.52 inference(bind,[status(th)],[])).
% 2.27/2.52 tff(234,plain,
% 2.27/2.52 (![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)))),
% 2.27/2.53 inference(quant_intro,[status(thm)],[233])).
% 2.27/2.53 tff(235,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')).
% 2.27/2.53 tff(236,plain,
% 2.27/2.53 (![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)))),
% 2.27/2.53 inference(modus_ponens,[status(thm)],[235, 234])).
% 2.27/2.53 tff(237,plain,
% 2.27/2.53 (![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)))),
% 2.27/2.53 inference(modus_ponens,[status(thm)],[236, 232])).
% 2.27/2.53 tff(238,plain,(
% 2.27/2.53 ![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))))),
% 2.27/2.53 inference(skolemize,[status(sab)],[237])).
% 2.27/2.53 tff(239,plain,
% 2.27/2.53 (![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))))))),
% 2.27/2.53 inference(modus_ponens,[status(thm)],[238, 231])).
% 2.27/2.53 tff(240,plain,
% 2.27/2.53 (![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))))))),
% 2.27/2.53 inference(modus_ponens,[status(thm)],[239, 229])).
% 2.27/2.53 tff(241,plain,
% 2.27/2.53 (((~![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_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), 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_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.27/2.53 inference(rewrite,[status(thm)],[])).
% 2.27/2.53 tff(242,plain,
% 2.27/2.53 ((~![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_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.27/2.53 inference(quant_inst,[status(thm)],[])).
% 2.27/2.53 tff(243,plain,
% 2.27/2.53 ((~![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_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.27/2.53 inference(modus_ponens,[status(thm)],[242, 241])).
% 2.27/2.53 tff(244,plain,
% 2.27/2.53 ((~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.27/2.53 inference(unit_resolution,[status(thm)],[243, 240])).
% 2.27/2.53 tff(245,plain,
% 2.27/2.53 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))),
% 2.27/2.53 inference(unit_resolution,[status(thm)],[244, 227])).
% 2.27/2.53 tff(246,plain,
% 2.27/2.53 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))) | subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.27/2.53 inference(tautology,[status(thm)],[])).
% 2.27/2.53 tff(247,plain,
% 2.27/2.53 (subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.27/2.53 inference(unit_resolution,[status(thm)],[246, 245])).
% 2.27/2.53 tff(248,plain,
% 2.27/2.53 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)),
% 2.27/2.53 inference(tautology,[status(thm)],[])).
% 2.27/2.53 tff(249,plain,
% 2.27/2.53 (occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)),
% 2.27/2.53 inference(unit_resolution,[status(thm)],[248, 245])).
% 2.27/2.53 tff(250,plain,
% 2.27/2.53 (leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0) <=> leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.27/2.53 inference(monotonicity,[status(thm)],[140])).
% 2.27/2.53 tff(251,plain,
% 2.27/2.53 (leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) <=> leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.53 inference(symmetry,[status(thm)],[250])).
% 2.27/2.53 tff(252,plain,
% 2.27/2.53 (leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.27/2.53 inference(modus_ponens,[status(thm)],[169, 251])).
% 2.27/2.53 tff(253,plain,
% 2.27/2.53 (((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))),
% 2.27/2.53 inference(rewrite,[status(thm)],[])).
% 2.27/2.53 tff(254,plain,
% 2.27/2.53 (((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0))) <=> ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))),
% 2.27/2.53 inference(rewrite,[status(thm)],[])).
% 2.27/2.53 tff(255,plain,
% 2.27/2.53 (((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.27/2.53 inference(monotonicity,[status(thm)],[254])).
% 2.27/2.53 tff(256,plain,
% 2.27/2.53 (((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))),
% 2.27/2.53 inference(transitivity,[status(thm)],[255, 253])).
% 2.27/2.53 tff(257,plain,
% 2.27/2.53 ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)))),
% 2.27/2.53 inference(quant_inst,[status(thm)],[])).
% 2.27/2.53 tff(258,plain,
% 2.27/2.53 ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))),
% 2.27/2.53 inference(modus_ponens,[status(thm)],[257, 256])).
% 2.27/2.53 tff(259,plain,
% 2.27/2.53 ($false),
% 2.27/2.53 inference(unit_resolution,[status(thm)],[258, 252, 249, 247, 1])).
% 2.27/2.53 tff(260,plain,(~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))), inference(lemma,lemma(discharge,[]))).
% 2.27/2.53 tff(261,plain,
% 2.27/2.53 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), 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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37))))))))),
% 2.27/2.53 inference(rewrite,[status(thm)],[])).
% 2.27/2.53 tff(262,plain,
% 2.27/2.53 ((~((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))))))),
% 2.27/2.53 inference(rewrite,[status(thm)],[])).
% 2.27/2.53 tff(263,plain,
% 2.27/2.53 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37))))))))),
% 2.38/2.54 inference(monotonicity,[status(thm)],[262])).
% 2.38/2.54 tff(264,plain,
% 2.38/2.54 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37))))))))),
% 2.38/2.54 inference(transitivity,[status(thm)],[263, 261])).
% 2.38/2.54 tff(265,plain,
% 2.38/2.54 ((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)))))))),
% 2.38/2.54 inference(quant_inst,[status(thm)],[])).
% 2.38/2.54 tff(266,plain,
% 2.38/2.54 ((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))))))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[265, 264])).
% 2.38/2.54 tff(267,plain,
% 2.38/2.54 (~((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37))))))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[266, 17])).
% 2.38/2.54 tff(268,plain,
% 2.38/2.54 (((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))))) | (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37))))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(269,plain,
% 2.38/2.54 (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[268, 267])).
% 2.38/2.54 tff(270,plain,
% 2.38/2.54 ((~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37))))) | leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(271,plain,
% 2.38/2.54 (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[270, 269])).
% 2.38/2.54 tff(272,plain,
% 2.38/2.54 (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[271, 260])).
% 2.38/2.54 tff(273,assumption,(~(tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))), introduced(assumption)).
% 2.38/2.54 tff(274,assumption,(~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))), introduced(assumption)).
% 2.38/2.54 tff(275,plain,
% 2.38/2.54 (((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(276,plain,
% 2.38/2.54 (occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[275, 274])).
% 2.38/2.54 tff(277,plain,
% 2.38/2.54 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0))),
% 2.38/2.54 inference(rewrite,[status(thm)],[])).
% 2.38/2.54 tff(278,plain,
% 2.38/2.54 (((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0))),
% 2.38/2.54 inference(rewrite,[status(thm)],[])).
% 2.38/2.54 tff(279,plain,
% 2.38/2.54 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0)))),
% 2.38/2.55 inference(monotonicity,[status(thm)],[278])).
% 2.38/2.55 tff(280,plain,
% 2.38/2.55 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0))),
% 2.38/2.55 inference(transitivity,[status(thm)],[279, 277])).
% 2.38/2.55 tff(281,plain,
% 2.38/2.55 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.38/2.55 inference(quant_inst,[status(thm)],[])).
% 2.38/2.55 tff(282,plain,
% 2.38/2.55 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0)),
% 2.38/2.55 inference(modus_ponens,[status(thm)],[281, 280])).
% 2.38/2.55 tff(283,plain,
% 2.38/2.55 (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0),
% 2.38/2.55 inference(unit_resolution,[status(thm)],[282, 124, 249, 276])).
% 2.38/2.55 tff(284,plain,
% 2.38/2.55 (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))),
% 2.38/2.55 inference(transitivity,[status(thm)],[283, 139, 131])).
% 2.38/2.55 tff(285,plain,
% 2.38/2.55 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) <=> min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 2.38/2.55 inference(monotonicity,[status(thm)],[284])).
% 2.38/2.55 tff(286,plain,
% 2.38/2.55 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))) <=> min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.38/2.55 inference(symmetry,[status(thm)],[285])).
% 2.38/2.55 tff(287,plain,
% 2.38/2.55 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.38/2.55 inference(modus_ponens,[status(thm)],[226, 286])).
% 2.38/2.55 tff(288,plain,
% 2.38/2.55 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))) <=> ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.38/2.55 inference(rewrite,[status(thm)],[])).
% 2.38/2.55 tff(289,plain,
% 2.38/2.55 ((~((~((~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))))) <=> (~((~((~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))),
% 2.38/2.55 inference(rewrite,[status(thm)],[])).
% 2.38/2.55 tff(290,plain,
% 2.38/2.55 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))))) <=> ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.38/2.56 inference(monotonicity,[status(thm)],[289])).
% 2.38/2.56 tff(291,plain,
% 2.38/2.56 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))))) <=> ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.38/2.56 inference(transitivity,[status(thm)],[290, 288])).
% 2.38/2.56 tff(292,plain,
% 2.38/2.56 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))))),
% 2.38/2.56 inference(quant_inst,[status(thm)],[])).
% 2.38/2.56 tff(293,plain,
% 2.38/2.56 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))),
% 2.38/2.56 inference(modus_ponens,[status(thm)],[292, 291])).
% 2.38/2.56 tff(294,plain,
% 2.38/2.56 (~((~((~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))),
% 2.38/2.56 inference(unit_resolution,[status(thm)],[293, 158])).
% 2.38/2.56 tff(295,plain,
% 2.38/2.56 (((~((~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~(leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X45_4(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~((~![X44: $i] : (~min_precedes(X44, tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | ((~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))),
% 2.38/2.57 inference(tautology,[status(thm)],[])).
% 2.38/2.57 tff(296,plain,
% 2.38/2.57 ((~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))),
% 2.38/2.57 inference(unit_resolution,[status(thm)],[295, 294])).
% 2.38/2.57 tff(297,plain,
% 2.38/2.57 (((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.38/2.57 inference(tautology,[status(thm)],[])).
% 2.38/2.57 tff(298,plain,
% 2.38/2.57 (leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.38/2.57 inference(unit_resolution,[status(thm)],[297, 274])).
% 2.38/2.57 tff(299,plain,
% 2.38/2.57 ((~((~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))),
% 2.38/2.57 inference(tautology,[status(thm)],[])).
% 2.38/2.57 tff(300,plain,
% 2.38/2.57 ((~((~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))),
% 2.38/2.57 inference(unit_resolution,[status(thm)],[299, 298])).
% 2.38/2.57 tff(301,plain,
% 2.38/2.57 (~((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.38/2.57 inference(unit_resolution,[status(thm)],[300, 296])).
% 2.38/2.57 tff(302,plain,
% 2.38/2.57 (((~(root(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))) | ![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.38/2.57 inference(tautology,[status(thm)],[])).
% 2.38/2.57 tff(303,plain,
% 2.38/2.57 (![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.38/2.57 inference(unit_resolution,[status(thm)],[302, 301])).
% 2.38/2.57 tff(304,plain,
% 2.38/2.57 ((~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.38/2.57 inference(quant_inst,[status(thm)],[])).
% 2.38/2.57 tff(305,plain,
% 2.38/2.57 (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.38/2.57 inference(unit_resolution,[status(thm)],[304, 303])).
% 2.38/2.57 tff(306,plain,
% 2.38/2.57 ($false),
% 2.38/2.57 inference(unit_resolution,[status(thm)],[305, 287])).
% 2.38/2.57 tff(307,plain,((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))), inference(lemma,lemma(discharge,[]))).
% 2.38/2.57 tff(308,plain,
% 2.38/2.57 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37))))))))),
% 2.38/2.57 inference(rewrite,[status(thm)],[])).
% 2.38/2.57 tff(309,plain,
% 2.38/2.57 ((~((~((~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37)))))))),
% 2.38/2.58 inference(rewrite,[status(thm)],[])).
% 2.38/2.58 tff(310,plain,
% 2.38/2.58 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37))))))))),
% 2.38/2.58 inference(monotonicity,[status(thm)],[309])).
% 2.38/2.58 tff(311,plain,
% 2.38/2.58 (((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), 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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37))))))))),
% 2.38/2.58 inference(transitivity,[status(thm)],[310, 308])).
% 2.38/2.58 tff(312,plain,
% 2.38/2.58 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37)))))))),
% 2.38/2.58 inference(quant_inst,[status(thm)],[])).
% 2.38/2.58 tff(313,plain,
% 2.38/2.58 ((~![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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37)))))))),
% 2.38/2.58 inference(modus_ponens,[status(thm)],[312, 311])).
% 2.38/2.58 tff(314,plain,
% 2.38/2.58 (~((~((~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37))))))),
% 2.38/2.58 inference(unit_resolution,[status(thm)],[313, 17])).
% 2.38/2.58 tff(315,plain,
% 2.38/2.58 (((~((~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X37)))))) | ((~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))),
% 2.38/2.58 inference(tautology,[status(thm)],[])).
% 2.38/2.58 tff(316,plain,
% 2.38/2.58 ((~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.38/2.59 inference(unit_resolution,[status(thm)],[315, 314])).
% 2.38/2.59 tff(317,plain,
% 2.38/2.59 ((~((~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.38/2.59 inference(tautology,[status(thm)],[])).
% 2.38/2.59 tff(318,plain,
% 2.38/2.59 ((~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.38/2.59 inference(unit_resolution,[status(thm)],[317, 316])).
% 2.38/2.59 tff(319,plain,
% 2.38/2.59 (~leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.38/2.59 inference(unit_resolution,[status(thm)],[318, 307])).
% 2.38/2.59 tff(320,plain,
% 2.38/2.59 (^[X46: $i, X47: $i] : refl((~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))))) <=> (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))))))),
% 2.38/2.59 inference(bind,[status(th)],[])).
% 2.38/2.59 tff(321,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))))) <=> ![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))),
% 2.38/2.59 inference(quant_intro,[status(thm)],[320])).
% 2.38/2.59 tff(322,plain,
% 2.38/2.59 (^[X46: $i, X47: $i] : rewrite((~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))))) <=> (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))))))),
% 2.38/2.59 inference(bind,[status(th)],[])).
% 2.38/2.59 tff(323,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))))) <=> ![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))),
% 2.38/2.59 inference(quant_intro,[status(thm)],[322])).
% 2.38/2.59 tff(324,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))))) <=> ![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))),
% 2.38/2.59 inference(transitivity,[status(thm)],[323, 321])).
% 2.38/2.59 tff(325,plain,
% 2.38/2.59 (^[X46: $i, X47: $i] : trans(monotonicity(rewrite(((~atocc(X46, X47)) | (subactivity(X47, tptp_fun_X48_5(X47, X46)) & atomic(tptp_fun_X48_5(X47, X46)) & occurrence_of(X46, tptp_fun_X48_5(X47, X46)))) <=> ((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))), rewrite((atocc(X46, X47) | ![X48: $i] : (~(subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48)))) <=> (atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))), ((((~atocc(X46, X47)) | (subactivity(X47, tptp_fun_X48_5(X47, X46)) & atomic(tptp_fun_X48_5(X47, X46)) & occurrence_of(X46, tptp_fun_X48_5(X47, X46)))) & (atocc(X46, X47) | ![X48: $i] : (~(subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48))))) <=> (((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46)))))) & (atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))))), rewrite((((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46)))))) & (atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48))))) <=> (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))), ((((~atocc(X46, X47)) | (subactivity(X47, tptp_fun_X48_5(X47, X46)) & atomic(tptp_fun_X48_5(X47, X46)) & occurrence_of(X46, tptp_fun_X48_5(X47, X46)))) & (atocc(X46, X47) | ![X48: $i] : (~(subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48))))) <=> (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))))),
% 2.38/2.59 inference(bind,[status(th)],[])).
% 2.38/2.59 tff(326,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (((~atocc(X46, X47)) | (subactivity(X47, tptp_fun_X48_5(X47, X46)) & atomic(tptp_fun_X48_5(X47, X46)) & occurrence_of(X46, tptp_fun_X48_5(X47, X46)))) & (atocc(X46, X47) | ![X48: $i] : (~(subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48))))) <=> ![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))),
% 2.38/2.59 inference(quant_intro,[status(thm)],[325])).
% 2.38/2.59 tff(327,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : (subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48))) <=> ![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : (subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48)))),
% 2.38/2.59 inference(rewrite,[status(thm)],[])).
% 2.38/2.59 tff(328,plain,
% 2.38/2.59 (^[X46: $i, X47: $i] : rewrite((atocc(X46, X47) <=> ?[X48: $i] : ((subactivity(X47, X48) & atomic(X48)) & occurrence_of(X46, X48))) <=> (atocc(X46, X47) <=> ?[X48: $i] : (subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48))))),
% 2.38/2.59 inference(bind,[status(th)],[])).
% 2.38/2.59 tff(329,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : ((subactivity(X47, X48) & atomic(X48)) & occurrence_of(X46, X48))) <=> ![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : (subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48)))),
% 2.38/2.59 inference(quant_intro,[status(thm)],[328])).
% 2.38/2.59 tff(330,axiom,(![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : ((subactivity(X47, X48) & atomic(X48)) & occurrence_of(X46, X48)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_15')).
% 2.38/2.59 tff(331,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : (subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48)))),
% 2.38/2.59 inference(modus_ponens,[status(thm)],[330, 329])).
% 2.38/2.59 tff(332,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : (subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48)))),
% 2.38/2.59 inference(modus_ponens,[status(thm)],[331, 327])).
% 2.38/2.59 tff(333,plain,(
% 2.38/2.59 ![X46: $i, X47: $i] : (((~atocc(X46, X47)) | (subactivity(X47, tptp_fun_X48_5(X47, X46)) & atomic(tptp_fun_X48_5(X47, X46)) & occurrence_of(X46, tptp_fun_X48_5(X47, X46)))) & (atocc(X46, X47) | ![X48: $i] : (~(subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48)))))),
% 2.38/2.59 inference(skolemize,[status(sab)],[332])).
% 2.38/2.59 tff(334,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))),
% 2.38/2.59 inference(modus_ponens,[status(thm)],[333, 326])).
% 2.38/2.59 tff(335,plain,
% 2.38/2.59 (![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))),
% 2.38/2.59 inference(modus_ponens,[status(thm)],[334, 324])).
% 2.38/2.59 tff(336,plain,
% 2.38/2.59 (((~![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))) | (~((~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))) | (~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))))) <=> ((~![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))) | (~((~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))) | (~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))))),
% 2.38/2.59 inference(rewrite,[status(thm)],[])).
% 2.38/2.59 tff(337,plain,
% 2.38/2.59 ((~((~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))))) <=> (~((~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))) | (~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.38/2.59 inference(rewrite,[status(thm)],[])).
% 2.38/2.59 tff(338,plain,
% 2.38/2.59 (((~![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))) | (~((~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48)))))))) <=> ((~![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))) | (~((~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))) | (~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))))),
% 2.38/2.59 inference(monotonicity,[status(thm)],[337])).
% 2.38/2.59 tff(339,plain,
% 2.38/2.59 (((~![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))) | (~((~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48)))))))) <=> ((~![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))) | (~((~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))) | (~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))))),
% 2.44/2.59 inference(transitivity,[status(thm)],[338, 336])).
% 2.44/2.59 tff(340,plain,
% 2.44/2.59 ((~![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))) | (~((~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48)))))))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(341,plain,
% 2.44/2.60 ((~![X46: $i, X47: $i] : (~((~((~atocc(X46, X47)) | (~((~subactivity(X47, tptp_fun_X48_5(X47, X46))) | (~atomic(tptp_fun_X48_5(X47, X46))) | (~occurrence_of(X46, tptp_fun_X48_5(X47, X46))))))) | (~(atocc(X46, X47) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(X47, X48)) | (~occurrence_of(X46, X48)))))))) | (~((~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))) | (~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))))),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[340, 339])).
% 2.44/2.60 tff(342,plain,
% 2.44/2.60 (~((~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))) | (~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))))),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[341, 335])).
% 2.44/2.60 tff(343,plain,
% 2.44/2.60 (((~(atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | ![X48: $i] : ((~atomic(X48)) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X48)) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X48))))) | (~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))))) | ((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))),
% 2.44/2.60 inference(tautology,[status(thm)],[])).
% 2.44/2.60 tff(344,plain,
% 2.44/2.60 ((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[343, 342])).
% 2.44/2.60 tff(345,plain,
% 2.44/2.60 (^[X77: $i, X78: $i, X79: $i] : refl(((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77)))))) <=> ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77)))))))),
% 2.44/2.60 inference(bind,[status(th)],[])).
% 2.44/2.60 tff(346,plain,
% 2.44/2.60 (![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77)))))) <=> ![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77))))))),
% 2.44/2.60 inference(quant_intro,[status(thm)],[345])).
% 2.44/2.60 tff(347,plain,
% 2.44/2.60 (^[X77: $i, X78: $i, X79: $i] : rewrite(((~min_precedes(X78, X79, X77)) | (subactivity(tptp_fun_X80_11(X79, X78, X77), X77) & subactivity(tptp_fun_X81_10(X79, X78, X77), X77) & atocc(X78, tptp_fun_X80_11(X79, X78, X77)) & atocc(X79, tptp_fun_X81_10(X79, X78, X77)))) <=> ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77)))))))),
% 2.44/2.60 inference(bind,[status(th)],[])).
% 2.44/2.60 tff(348,plain,
% 2.44/2.60 (![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (subactivity(tptp_fun_X80_11(X79, X78, X77), X77) & subactivity(tptp_fun_X81_10(X79, X78, X77), X77) & atocc(X78, tptp_fun_X80_11(X79, X78, X77)) & atocc(X79, tptp_fun_X81_10(X79, X78, X77)))) <=> ![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77))))))),
% 2.44/2.60 inference(quant_intro,[status(thm)],[347])).
% 2.44/2.60 tff(349,plain,
% 2.44/2.60 (![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81))) <=> ![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81)))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(350,plain,
% 2.44/2.60 (^[X77: $i, X78: $i, X79: $i] : trans(monotonicity(quant_intro(proof_bind(^[X80: $i, X81: $i] : trans(monotonicity(rewrite(((subactivity(X80, X77) & subactivity(X81, X77)) & atocc(X78, X80)) <=> (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80))), ((((subactivity(X80, X77) & subactivity(X81, X77)) & atocc(X78, X80)) & atocc(X79, X81)) <=> ((subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80)) & atocc(X79, X81)))), rewrite(((subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80)) & atocc(X79, X81)) <=> (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81))), ((((subactivity(X80, X77) & subactivity(X81, X77)) & atocc(X78, X80)) & atocc(X79, X81)) <=> (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81))))), (?[X80: $i, X81: $i] : (((subactivity(X80, X77) & subactivity(X81, X77)) & atocc(X78, X80)) & atocc(X79, X81)) <=> ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81)))), ((min_precedes(X78, X79, X77) => ?[X80: $i, X81: $i] : (((subactivity(X80, X77) & subactivity(X81, X77)) & atocc(X78, X80)) & atocc(X79, X81))) <=> (min_precedes(X78, X79, X77) => ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81))))), rewrite((min_precedes(X78, X79, X77) => ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81))) <=> ((~min_precedes(X78, X79, X77)) | ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81)))), ((min_precedes(X78, X79, X77) => ?[X80: $i, X81: $i] : (((subactivity(X80, X77) & subactivity(X81, X77)) & atocc(X78, X80)) & atocc(X79, X81))) <=> ((~min_precedes(X78, X79, X77)) | ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81)))))),
% 2.44/2.60 inference(bind,[status(th)],[])).
% 2.44/2.60 tff(351,plain,
% 2.44/2.60 (![X77: $i, X78: $i, X79: $i] : (min_precedes(X78, X79, X77) => ?[X80: $i, X81: $i] : (((subactivity(X80, X77) & subactivity(X81, X77)) & atocc(X78, X80)) & atocc(X79, X81))) <=> ![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81)))),
% 2.44/2.60 inference(quant_intro,[status(thm)],[350])).
% 2.44/2.60 tff(352,axiom,(![X77: $i, X78: $i, X79: $i] : (min_precedes(X78, X79, X77) => ?[X80: $i, X81: $i] : (((subactivity(X80, X77) & subactivity(X81, X77)) & atocc(X78, X80)) & atocc(X79, X81)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_26')).
% 2.44/2.60 tff(353,plain,
% 2.44/2.60 (![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81)))),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[352, 351])).
% 2.44/2.60 tff(354,plain,
% 2.44/2.60 (![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | ?[X80: $i, X81: $i] : (subactivity(X80, X77) & subactivity(X81, X77) & atocc(X78, X80) & atocc(X79, X81)))),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[353, 349])).
% 2.44/2.60 tff(355,plain,(
% 2.44/2.60 ![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (subactivity(tptp_fun_X80_11(X79, X78, X77), X77) & subactivity(tptp_fun_X81_10(X79, X78, X77), X77) & atocc(X78, tptp_fun_X80_11(X79, X78, X77)) & atocc(X79, tptp_fun_X81_10(X79, X78, X77))))),
% 2.44/2.60 inference(skolemize,[status(sab)],[354])).
% 2.44/2.60 tff(356,plain,
% 2.44/2.60 (![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77))))))),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[355, 348])).
% 2.44/2.60 tff(357,plain,
% 2.44/2.60 (![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77))))))),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[356, 346])).
% 2.44/2.60 tff(358,plain,
% 2.44/2.60 (((~![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77))))))) | ((~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity(tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~atocc(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))) <=> ((~![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77))))))) | (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity(tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~atocc(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(359,plain,
% 2.44/2.60 ((~![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77))))))) | ((~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity(tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~atocc(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(360,plain,
% 2.44/2.60 ((~![X77: $i, X78: $i, X79: $i] : ((~min_precedes(X78, X79, X77)) | (~((~subactivity(tptp_fun_X80_11(X79, X78, X77), X77)) | (~subactivity(tptp_fun_X81_10(X79, X78, X77), X77)) | (~atocc(X78, tptp_fun_X80_11(X79, X78, X77))) | (~atocc(X79, tptp_fun_X81_10(X79, X78, X77))))))) | (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity(tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~atocc(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[359, 358])).
% 2.44/2.60 tff(361,plain,
% 2.44/2.60 ((~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity(tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~atocc(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[360, 357])).
% 2.44/2.60 tff(362,plain,
% 2.44/2.60 (~((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity(tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~atocc(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[361, 227])).
% 2.44/2.60 tff(363,plain,
% 2.44/2.60 (((~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity(tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~atocc(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X81_10(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))) | atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.44/2.60 inference(tautology,[status(thm)],[])).
% 2.44/2.60 tff(364,plain,
% 2.44/2.60 (atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[363, 362])).
% 2.44/2.60 tff(365,plain,
% 2.44/2.60 ((~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.44/2.60 inference(tautology,[status(thm)],[])).
% 2.44/2.60 tff(366,plain,
% 2.44/2.60 ((~((~atocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))))) | (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))))),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[365, 364])).
% 2.44/2.61 tff(367,plain,
% 2.44/2.61 (~((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[366, 344])).
% 2.44/2.61 tff(368,plain,
% 2.44/2.61 (((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.44/2.61 inference(tautology,[status(thm)],[])).
% 2.44/2.61 tff(369,plain,
% 2.44/2.61 (occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[368, 367])).
% 2.44/2.61 tff(370,plain,
% 2.44/2.61 (^[X40: $i, X41: $i] : refl(((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 2.44/2.61 inference(bind,[status(th)],[])).
% 2.44/2.61 tff(371,plain,
% 2.44/2.61 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 2.44/2.61 inference(quant_intro,[status(thm)],[370])).
% 2.44/2.61 tff(372,plain,
% 2.44/2.61 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(373,plain,
% 2.44/2.61 (^[X40: $i, X41: $i] : rewrite((occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 2.44/2.61 inference(bind,[status(th)],[])).
% 2.44/2.61 tff(374,plain,
% 2.44/2.61 (![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 2.44/2.61 inference(quant_intro,[status(thm)],[373])).
% 2.44/2.61 tff(375,axiom,(![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 2.44/2.61 tff(376,plain,
% 2.44/2.61 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[375, 374])).
% 2.44/2.61 tff(377,plain,
% 2.44/2.61 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[376, 372])).
% 2.44/2.61 tff(378,plain,(
% 2.44/2.61 ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 2.44/2.61 inference(skolemize,[status(sab)],[377])).
% 2.44/2.61 tff(379,plain,
% 2.44/2.61 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[378, 371])).
% 2.44/2.61 tff(380,plain,
% 2.44/2.61 (((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) <=> atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))) <=> ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) <=> atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(381,plain,
% 2.44/2.61 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) <=> atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(382,plain,
% 2.44/2.61 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) <=> atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[381, 380])).
% 2.44/2.61 tff(383,plain,
% 2.44/2.61 (arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) <=> atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[382, 379, 369])).
% 2.44/2.61 tff(384,plain,
% 2.44/2.61 (((~occurrence_of(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))) | (~subactivity(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.44/2.61 inference(tautology,[status(thm)],[])).
% 2.44/2.61 tff(385,plain,
% 2.44/2.61 (atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[384, 367])).
% 2.44/2.61 tff(386,plain,
% 2.44/2.61 ((~(arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) <=> atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) | (~atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.44/2.61 inference(tautology,[status(thm)],[])).
% 2.44/2.61 tff(387,plain,
% 2.44/2.61 ((~(arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) <=> atomic(tptp_fun_X48_5(tptp_fun_X80_11(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[386, 385])).
% 2.44/2.61 tff(388,plain,
% 2.44/2.61 (arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[387, 383])).
% 2.44/2.61 tff(389,plain,
% 2.44/2.61 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))) | subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.44/2.61 inference(tautology,[status(thm)],[])).
% 2.44/2.61 tff(390,plain,
% 2.44/2.61 (subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[389, 245])).
% 2.44/2.61 tff(391,plain,
% 2.44/2.61 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(392,plain,
% 2.44/2.61 ((leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(393,plain,
% 2.44/2.62 ((~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))) <=> (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(394,plain,
% 2.44/2.62 ((leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))) <=> (leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.44/2.62 inference(monotonicity,[status(thm)],[393])).
% 2.44/2.62 tff(395,plain,
% 2.44/2.62 ((leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.44/2.62 inference(transitivity,[status(thm)],[394, 392])).
% 2.44/2.62 tff(396,plain,
% 2.44/2.62 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))))),
% 2.44/2.63 inference(monotonicity,[status(thm)],[395])).
% 2.44/2.63 tff(397,plain,
% 2.44/2.63 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.44/2.63 inference(transitivity,[status(thm)],[396, 391])).
% 2.44/2.63 tff(398,plain,
% 2.44/2.63 ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))))),
% 2.44/2.63 inference(quant_inst,[status(thm)],[])).
% 2.44/2.63 tff(399,plain,
% 2.44/2.63 ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.44/2.63 inference(modus_ponens,[status(thm)],[398, 397])).
% 2.44/2.63 tff(400,plain,
% 2.44/2.63 ((~arboreal(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.44/2.64 inference(unit_resolution,[status(thm)],[399, 56, 249, 390])).
% 2.44/2.64 tff(401,plain,
% 2.44/2.64 (leaf_occ(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))))),
% 2.44/2.64 inference(unit_resolution,[status(thm)],[400, 388])).
% 2.44/2.64 tff(402,plain,
% 2.44/2.64 (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))),
% 2.44/2.64 inference(unit_resolution,[status(thm)],[401, 319])).
% 2.44/2.64 tff(403,plain,
% 2.44/2.64 (((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))) | leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.44/2.64 inference(tautology,[status(thm)],[])).
% 2.44/2.64 tff(404,plain,
% 2.44/2.64 (leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))),
% 2.44/2.64 inference(unit_resolution,[status(thm)],[403, 402])).
% 2.44/2.64 tff(405,assumption,(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))), introduced(assumption)).
% 2.44/2.64 tff(406,plain,
% 2.44/2.64 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 2.44/2.64 inference(rewrite,[status(thm)],[])).
% 2.44/2.64 tff(407,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 2.44/2.64 tff(408,plain,
% 2.44/2.64 (~atomic(tptp0)),
% 2.44/2.64 inference(modus_ponens,[status(thm)],[407, 406])).
% 2.44/2.64 tff(409,plain,
% 2.44/2.64 (^[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))))),
% 2.44/2.64 inference(bind,[status(th)],[])).
% 2.44/2.64 tff(410,plain,
% 2.44/2.64 (![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)))),
% 2.44/2.64 inference(quant_intro,[status(thm)],[409])).
% 2.44/2.64 tff(411,plain,
% 2.44/2.64 (^[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)))))),
% 2.44/2.64 inference(bind,[status(th)],[])).
% 2.44/2.64 tff(412,plain,
% 2.44/2.64 (![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)))),
% 2.44/2.64 inference(quant_intro,[status(thm)],[411])).
% 2.44/2.64 tff(413,plain,
% 2.44/2.64 (![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))),
% 2.44/2.64 inference(rewrite,[status(thm)],[])).
% 2.44/2.64 tff(414,plain,
% 2.44/2.64 (^[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))))),
% 2.44/2.64 inference(bind,[status(th)],[])).
% 2.44/2.64 tff(415,plain,
% 2.44/2.64 (![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))),
% 2.44/2.64 inference(quant_intro,[status(thm)],[414])).
% 2.44/2.64 tff(416,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')).
% 2.44/2.64 tff(417,plain,
% 2.44/2.64 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 2.44/2.64 inference(modus_ponens,[status(thm)],[416, 415])).
% 2.44/2.64 tff(418,plain,
% 2.44/2.64 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 2.44/2.64 inference(modus_ponens,[status(thm)],[417, 413])).
% 2.44/2.64 tff(419,plain,(
% 2.44/2.64 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 2.44/2.64 inference(skolemize,[status(sab)],[418])).
% 2.44/2.64 tff(420,plain,
% 2.44/2.64 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 2.44/2.64 inference(modus_ponens,[status(thm)],[419, 412])).
% 2.44/2.64 tff(421,plain,
% 2.44/2.64 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 2.44/2.64 inference(modus_ponens,[status(thm)],[420, 410])).
% 2.44/2.64 tff(422,plain,
% 2.44/2.64 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) <=> ((~![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_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.44/2.64 inference(rewrite,[status(thm)],[])).
% 2.44/2.64 tff(423,plain,
% 2.44/2.64 (((tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.44/2.64 inference(rewrite,[status(thm)],[])).
% 2.44/2.64 tff(424,plain,
% 2.44/2.64 (((~![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_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), 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_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.44/2.64 inference(monotonicity,[status(thm)],[423])).
% 2.44/2.64 tff(425,plain,
% 2.44/2.64 (((~![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_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), 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_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.44/2.64 inference(transitivity,[status(thm)],[424, 422])).
% 2.44/2.64 tff(426,plain,
% 2.44/2.64 ((~![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_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))))),
% 2.44/2.65 inference(quant_inst,[status(thm)],[])).
% 2.44/2.65 tff(427,plain,
% 2.44/2.65 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.44/2.65 inference(modus_ponens,[status(thm)],[426, 425])).
% 2.44/2.65 tff(428,plain,
% 2.44/2.65 ($false),
% 2.44/2.65 inference(unit_resolution,[status(thm)],[427, 421, 408, 249, 405, 404, 273])).
% 2.44/2.65 tff(429,plain,((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))), inference(lemma,lemma(discharge,[]))).
% 2.44/2.65 tff(430,plain,
% 2.44/2.65 (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))),
% 2.44/2.65 inference(unit_resolution,[status(thm)],[429, 272])).
% 2.44/2.65 tff(431,plain,
% 2.44/2.65 (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp_fun_X99_14(X101!17, X100!18)),
% 2.44/2.65 inference(symmetry,[status(thm)],[430])).
% 2.44/2.65 tff(432,plain,
% 2.44/2.65 (leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) <=> leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.44/2.65 inference(monotonicity,[status(thm)],[431])).
% 2.44/2.65 tff(433,plain,
% 2.44/2.65 ((~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) <=> (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))),
% 2.44/2.65 inference(monotonicity,[status(thm)],[432])).
% 2.44/2.65 tff(434,plain,
% 2.44/2.65 (min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) <=> min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.44/2.65 inference(monotonicity,[status(thm)],[431])).
% 2.44/2.65 tff(435,plain,
% 2.44/2.65 (min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0) <=> min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.44/2.65 inference(symmetry,[status(thm)],[434])).
% 2.44/2.65 tff(436,plain,
% 2.44/2.65 ((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) <=> (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))),
% 2.44/2.65 inference(monotonicity,[status(thm)],[435])).
% 2.44/2.65 tff(437,plain,
% 2.44/2.65 (((~![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_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), 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_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 2.44/2.65 inference(rewrite,[status(thm)],[])).
% 2.44/2.65 tff(438,plain,
% 2.44/2.65 ((~((~(next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))))))),
% 2.44/2.65 inference(rewrite,[status(thm)],[])).
% 2.44/2.65 tff(439,plain,
% 2.44/2.65 (((~![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_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), 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_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 2.44/2.65 inference(monotonicity,[status(thm)],[438])).
% 2.44/2.65 tff(440,plain,
% 2.44/2.65 (((~![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_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), 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_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 2.44/2.65 inference(transitivity,[status(thm)],[439, 437])).
% 2.44/2.65 tff(441,plain,
% 2.44/2.65 ((~![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_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0))))))))))),
% 2.50/2.65 inference(quant_inst,[status(thm)],[])).
% 2.50/2.65 tff(442,plain,
% 2.50/2.65 ((~![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_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))))))),
% 2.50/2.65 inference(modus_ponens,[status(thm)],[441, 440])).
% 2.50/2.65 tff(443,plain,
% 2.50/2.65 (~((~(next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))),
% 2.50/2.66 inference(unit_resolution,[status(thm)],[442, 198])).
% 2.50/2.66 tff(444,plain,
% 2.50/2.66 (((~(next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))))) | ((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))),
% 2.50/2.66 inference(tautology,[status(thm)],[])).
% 2.50/2.66 tff(445,plain,
% 2.50/2.66 ((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 2.50/2.66 inference(unit_resolution,[status(thm)],[444, 443])).
% 2.50/2.66 tff(446,assumption,(leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))), introduced(assumption)).
% 2.50/2.66 tff(447,assumption,(tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), introduced(assumption)).
% 2.50/2.66 tff(448,plain,
% 2.50/2.66 (next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0) <=> next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.50/2.66 inference(monotonicity,[status(thm)],[447, 430])).
% 2.50/2.66 tff(449,plain,
% 2.50/2.66 (next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) <=> next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.50/2.66 inference(symmetry,[status(thm)],[448])).
% 2.50/2.66 tff(450,plain,
% 2.50/2.66 ((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) <=> (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0))),
% 2.50/2.66 inference(monotonicity,[status(thm)],[449])).
% 2.50/2.66 tff(451,plain,
% 2.50/2.66 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))))))))),
% 2.50/2.66 inference(rewrite,[status(thm)],[])).
% 2.50/2.66 tff(452,plain,
% 2.50/2.66 ((~((~(next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))))))))) <=> (~((~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))))))))),
% 2.50/2.67 inference(rewrite,[status(thm)],[])).
% 2.50/2.67 tff(453,plain,
% 2.50/2.67 (((~![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_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))))))))),
% 2.50/2.67 inference(monotonicity,[status(thm)],[452])).
% 2.50/2.67 tff(454,plain,
% 2.50/2.67 (((~![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_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))))))))),
% 2.50/2.67 inference(transitivity,[status(thm)],[453, 451])).
% 2.50/2.67 tff(455,plain,
% 2.50/2.67 ((~![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_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))))))))),
% 2.50/2.67 inference(quant_inst,[status(thm)],[])).
% 2.50/2.67 tff(456,plain,
% 2.50/2.67 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))))))))),
% 2.50/2.68 inference(modus_ponens,[status(thm)],[455, 454])).
% 2.50/2.68 tff(457,plain,
% 2.50/2.68 (~((~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))))))),
% 2.50/2.68 inference(unit_resolution,[status(thm)],[456, 198])).
% 2.50/2.68 tff(458,plain,
% 2.50/2.68 (((~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))))))) | ((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))))),
% 2.50/2.68 inference(tautology,[status(thm)],[])).
% 2.50/2.68 tff(459,plain,
% 2.50/2.68 ((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))))),
% 2.50/2.68 inference(unit_resolution,[status(thm)],[458, 457])).
% 2.50/2.68 tff(460,plain,
% 2.50/2.68 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))))))))),
% 2.50/2.68 inference(quant_inst,[status(thm)],[])).
% 2.50/2.68 tff(461,plain,
% 2.50/2.68 (~((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))))))))),
% 2.50/2.68 inference(unit_resolution,[status(thm)],[460, 198])).
% 2.50/2.68 tff(462,plain,
% 2.50/2.68 (((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))))))),
% 2.50/2.69 inference(tautology,[status(thm)],[])).
% 2.50/2.69 tff(463,plain,
% 2.50/2.69 ((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))))),
% 2.50/2.69 inference(unit_resolution,[status(thm)],[462, 461])).
% 2.50/2.69 tff(464,plain,
% 2.50/2.69 (((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp3)) | (~next_subocc(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))) | next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.50/2.69 inference(tautology,[status(thm)],[])).
% 2.50/2.69 tff(465,plain,
% 2.50/2.69 (next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.50/2.69 inference(unit_resolution,[status(thm)],[464, 402])).
% 2.50/2.69 tff(466,plain,
% 2.50/2.69 ((~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))))),
% 2.50/2.69 inference(tautology,[status(thm)],[])).
% 2.50/2.69 tff(467,plain,
% 2.50/2.69 ((~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))))),
% 2.50/2.69 inference(unit_resolution,[status(thm)],[466, 465])).
% 2.50/2.69 tff(468,plain,
% 2.50/2.69 (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))))),
% 2.50/2.69 inference(unit_resolution,[status(thm)],[467, 463])).
% 2.50/2.69 tff(469,plain,
% 2.50/2.69 (((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))),
% 2.50/2.69 inference(tautology,[status(thm)],[])).
% 2.50/2.69 tff(470,plain,
% 2.50/2.69 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))),
% 2.50/2.69 inference(unit_resolution,[status(thm)],[469, 468])).
% 2.50/2.69 tff(471,plain,
% 2.50/2.69 (((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0))))) | min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.50/2.69 inference(tautology,[status(thm)],[])).
% 2.50/2.69 tff(472,plain,
% 2.50/2.69 (min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.50/2.69 inference(unit_resolution,[status(thm)],[471, 468])).
% 2.50/2.69 tff(473,plain,
% 2.50/2.69 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))) | ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))),
% 2.50/2.69 inference(rewrite,[status(thm)],[])).
% 2.50/2.69 tff(474,plain,
% 2.50/2.69 (((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))) <=> ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))),
% 2.50/2.69 inference(rewrite,[status(thm)],[])).
% 2.50/2.69 tff(475,plain,
% 2.50/2.69 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))) | ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))) | ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))),
% 2.50/2.70 inference(monotonicity,[status(thm)],[474])).
% 2.50/2.70 tff(476,plain,
% 2.50/2.70 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))) | ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))),
% 2.50/2.70 inference(transitivity,[status(thm)],[475, 473])).
% 2.50/2.70 tff(477,plain,
% 2.50/2.70 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))) | ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))),
% 2.50/2.70 inference(quant_inst,[status(thm)],[])).
% 2.50/2.70 tff(478,plain,
% 2.50/2.70 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))),
% 2.50/2.70 inference(modus_ponens,[status(thm)],[477, 476])).
% 2.50/2.70 tff(479,plain,
% 2.50/2.70 (~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.50/2.70 inference(unit_resolution,[status(thm)],[478, 472, 470])).
% 2.50/2.70 tff(480,plain,
% 2.50/2.70 (((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))) | min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.50/2.70 inference(tautology,[status(thm)],[])).
% 2.50/2.70 tff(481,plain,
% 2.50/2.70 ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))),
% 2.50/2.70 inference(unit_resolution,[status(thm)],[480, 479])).
% 2.50/2.70 tff(482,plain,
% 2.50/2.70 ((~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))))) | (~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))))))),
% 2.50/2.70 inference(tautology,[status(thm)],[])).
% 2.50/2.70 tff(483,plain,
% 2.50/2.70 ((~((~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))))))) | (~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))),
% 2.50/2.70 inference(unit_resolution,[status(thm)],[482, 481])).
% 2.50/2.70 tff(484,plain,
% 2.50/2.70 (~next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.50/2.70 inference(unit_resolution,[status(thm)],[483, 459])).
% 2.50/2.70 tff(485,plain,
% 2.50/2.70 (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.50/2.70 inference(modus_ponens,[status(thm)],[484, 450])).
% 2.50/2.70 tff(486,plain,
% 2.50/2.70 ($false),
% 2.50/2.70 inference(unit_resolution,[status(thm)],[204, 485])).
% 2.50/2.70 tff(487,plain,(~(tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))), inference(lemma,lemma(discharge,[]))).
% 2.50/2.70 tff(488,assumption,(leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))), introduced(assumption)).
% 2.50/2.70 tff(489,plain,
% 2.50/2.70 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), 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_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))),
% 2.50/2.70 inference(rewrite,[status(thm)],[])).
% 2.50/2.70 tff(490,plain,
% 2.50/2.70 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))),
% 2.50/2.70 inference(quant_inst,[status(thm)],[])).
% 2.50/2.70 tff(491,plain,
% 2.50/2.70 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))))),
% 2.50/2.70 inference(modus_ponens,[status(thm)],[490, 489])).
% 2.50/2.70 tff(492,plain,
% 2.50/2.70 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))),
% 2.50/2.70 inference(unit_resolution,[status(thm)],[491, 240, 209])).
% 2.50/2.70 tff(493,plain,
% 2.50/2.70 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)),
% 2.50/2.70 inference(tautology,[status(thm)],[])).
% 2.50/2.70 tff(494,plain,
% 2.50/2.70 (occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)),
% 2.50/2.70 inference(unit_resolution,[status(thm)],[493, 492])).
% 2.50/2.70 tff(495,plain,
% 2.50/2.70 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) <=> ((~![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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.50/2.71 inference(rewrite,[status(thm)],[])).
% 2.50/2.71 tff(496,plain,
% 2.50/2.71 (((tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.50/2.71 inference(rewrite,[status(thm)],[])).
% 2.50/2.71 tff(497,plain,
% 2.50/2.71 (((~![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_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.50/2.71 inference(monotonicity,[status(thm)],[496])).
% 2.50/2.71 tff(498,plain,
% 2.50/2.71 (((~![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_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.50/2.71 inference(transitivity,[status(thm)],[497, 495])).
% 2.50/2.71 tff(499,plain,
% 2.50/2.71 ((~![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_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))),
% 2.50/2.71 inference(quant_inst,[status(thm)],[])).
% 2.50/2.71 tff(500,plain,
% 2.50/2.71 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.50/2.71 inference(modus_ponens,[status(thm)],[499, 498])).
% 2.50/2.71 tff(501,plain,
% 2.50/2.71 ($false),
% 2.50/2.71 inference(unit_resolution,[status(thm)],[500, 421, 408, 494, 488, 487, 446])).
% 2.50/2.71 tff(502,plain,((~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 2.50/2.71 tff(503,plain,
% 2.50/2.71 (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.50/2.71 inference(unit_resolution,[status(thm)],[502, 446])).
% 2.50/2.71 tff(504,plain,
% 2.50/2.71 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) | subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.50/2.71 inference(tautology,[status(thm)],[])).
% 2.50/2.71 tff(505,plain,
% 2.50/2.71 (subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.50/2.71 inference(unit_resolution,[status(thm)],[504, 492])).
% 2.50/2.71 tff(506,plain,
% 2.50/2.71 (^[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))))))),
% 2.50/2.71 inference(bind,[status(th)],[])).
% 2.50/2.71 tff(507,plain,
% 2.50/2.71 (![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)))))),
% 2.50/2.71 inference(quant_intro,[status(thm)],[506])).
% 2.50/2.71 tff(508,plain,
% 2.50/2.71 (^[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))))))),
% 2.50/2.71 inference(bind,[status(th)],[])).
% 2.50/2.71 tff(509,plain,
% 2.50/2.71 (![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)))))),
% 2.50/2.71 inference(quant_intro,[status(thm)],[508])).
% 2.50/2.71 tff(510,plain,
% 2.50/2.71 (![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)))),
% 2.50/2.71 inference(rewrite,[status(thm)],[])).
% 2.50/2.71 tff(511,plain,
% 2.50/2.71 (^[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))))),
% 2.50/2.71 inference(bind,[status(th)],[])).
% 2.50/2.71 tff(512,plain,
% 2.50/2.71 (![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)))),
% 2.50/2.71 inference(quant_intro,[status(thm)],[511])).
% 2.50/2.71 tff(513,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')).
% 2.50/2.71 tff(514,plain,
% 2.50/2.71 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 2.50/2.71 inference(modus_ponens,[status(thm)],[513, 512])).
% 2.50/2.71 tff(515,plain,
% 2.50/2.71 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 2.50/2.71 inference(modus_ponens,[status(thm)],[514, 510])).
% 2.50/2.71 tff(516,plain,(
% 2.50/2.71 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 2.50/2.71 inference(skolemize,[status(sab)],[515])).
% 2.50/2.71 tff(517,plain,
% 2.50/2.71 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 2.50/2.71 inference(modus_ponens,[status(thm)],[516, 509])).
% 2.50/2.71 tff(518,plain,
% 2.50/2.71 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 2.50/2.71 inference(modus_ponens,[status(thm)],[517, 507])).
% 2.50/2.71 tff(519,plain,
% 2.50/2.71 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~arboreal(tptp_fun_X99_14(X101!17, X100!18))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~arboreal(tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.50/2.71 inference(rewrite,[status(thm)],[])).
% 2.50/2.71 tff(520,plain,
% 2.50/2.71 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~arboreal(tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.50/2.71 inference(quant_inst,[status(thm)],[])).
% 2.50/2.71 tff(521,plain,
% 2.50/2.71 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~arboreal(tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.50/2.71 inference(modus_ponens,[status(thm)],[520, 519])).
% 2.50/2.71 tff(522,plain,
% 2.50/2.71 (~((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~arboreal(tptp_fun_X99_14(X101!17, X100!18))))),
% 2.50/2.71 inference(unit_resolution,[status(thm)],[521, 518, 204])).
% 2.50/2.71 tff(523,plain,
% 2.50/2.71 (((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~arboreal(tptp_fun_X99_14(X101!17, X100!18)))) | arboreal(tptp_fun_X98_15(X101!17, X100!18))),
% 2.50/2.71 inference(tautology,[status(thm)],[])).
% 2.50/2.71 tff(524,plain,
% 2.50/2.71 (arboreal(tptp_fun_X98_15(X101!17, X100!18))),
% 2.50/2.71 inference(unit_resolution,[status(thm)],[523, 522])).
% 2.50/2.71 tff(525,plain,
% 2.50/2.71 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | ((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))),
% 2.56/2.71 inference(rewrite,[status(thm)],[])).
% 2.56/2.71 tff(526,plain,
% 2.56/2.71 ((leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))))) <=> ((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))),
% 2.56/2.71 inference(rewrite,[status(thm)],[])).
% 2.56/2.71 tff(527,plain,
% 2.56/2.71 ((~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))) <=> (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(528,plain,
% 2.56/2.72 ((leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))))) <=> (leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))),
% 2.56/2.72 inference(monotonicity,[status(thm)],[527])).
% 2.56/2.72 tff(529,plain,
% 2.56/2.72 ((leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))))) <=> ((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))),
% 2.56/2.72 inference(transitivity,[status(thm)],[528, 526])).
% 2.56/2.72 tff(530,plain,
% 2.56/2.72 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | ((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))))))),
% 2.56/2.72 inference(monotonicity,[status(thm)],[529])).
% 2.56/2.72 tff(531,plain,
% 2.56/2.72 (((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))) <=> ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))),
% 2.56/2.72 inference(transitivity,[status(thm)],[530, 525])).
% 2.56/2.72 tff(532,plain,
% 2.56/2.72 ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(533,plain,
% 2.56/2.72 ((~![X95: $i, X96: $i] : (leaf_occ(X95, X96) | (~subactivity_occurrence(X95, X96)) | (~arboreal(X95)) | (~occurrence_of(X96, tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(X96, X95), tptp3)) | (~next_subocc(X95, tptp_fun_X97_16(X96, X95), tptp0)) | (~occurrence_of(tptp_fun_X98_15(X96, X95), tptp4)) | (~next_subocc(tptp_fun_X97_16(X96, X95), tptp_fun_X98_15(X96, X95), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(X96, X95), tptp1) | occurrence_of(tptp_fun_X99_14(X96, X95), tptp2))) | (~next_subocc(tptp_fun_X98_15(X96, X95), tptp_fun_X99_14(X96, X95), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X96, X95), X96)))))) | (~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))))),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[532, 531])).
% 2.56/2.72 tff(534,plain,
% 2.56/2.72 (leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))))),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[533, 56, 524, 494, 505])).
% 2.56/2.73 tff(535,plain,
% 2.56/2.73 (~((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[534, 503])).
% 2.56/2.73 tff(536,plain,
% 2.56/2.73 (((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) | next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.56/2.73 inference(tautology,[status(thm)],[])).
% 2.56/2.73 tff(537,plain,
% 2.56/2.73 (next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[536, 535])).
% 2.56/2.73 tff(538,plain,
% 2.56/2.73 ((~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 2.56/2.73 inference(tautology,[status(thm)],[])).
% 2.56/2.73 tff(539,plain,
% 2.56/2.73 ((~((~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))) | (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[538, 537])).
% 2.56/2.73 tff(540,plain,
% 2.56/2.73 (~((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[539, 445])).
% 2.56/2.73 tff(541,plain,
% 2.56/2.73 (((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))) | min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.56/2.73 inference(tautology,[status(thm)],[])).
% 2.56/2.73 tff(542,plain,
% 2.56/2.73 (min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[541, 540])).
% 2.56/2.73 tff(543,plain,
% 2.56/2.73 (((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))),
% 2.56/2.73 inference(tautology,[status(thm)],[])).
% 2.56/2.73 tff(544,plain,
% 2.56/2.73 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[543, 207])).
% 2.56/2.73 tff(545,plain,
% 2.56/2.73 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))) | ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(546,plain,
% 2.56/2.73 (((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))) <=> ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(547,plain,
% 2.56/2.73 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))) | ((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))) | ((~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0))))),
% 2.56/2.73 inference(monotonicity,[status(thm)],[546])).
% 2.56/2.73 tff(548,plain,
% 2.56/2.73 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))) | ((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)))),
% 2.56/2.73 inference(transitivity,[status(thm)],[547, 545])).
% 2.56/2.73 tff(549,plain,
% 2.56/2.73 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))) | ((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(550,plain,
% 2.56/2.73 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), X18, tptp0)))) | (~min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0))),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[549, 548])).
% 2.56/2.73 tff(551,plain,
% 2.56/2.73 (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[550, 544, 542])).
% 2.56/2.73 tff(552,plain,
% 2.56/2.73 (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[551, 436])).
% 2.56/2.73 tff(553,plain,
% 2.56/2.73 (((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) | leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.56/2.73 inference(tautology,[status(thm)],[])).
% 2.56/2.73 tff(554,plain,
% 2.56/2.73 (leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[553, 535])).
% 2.56/2.73 tff(555,plain,
% 2.56/2.73 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) <=> ((~![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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(556,plain,
% 2.56/2.73 (((tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(557,plain,
% 2.56/2.73 (((~![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_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))))),
% 2.56/2.73 inference(monotonicity,[status(thm)],[556])).
% 2.56/2.73 tff(558,plain,
% 2.56/2.73 (((~![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_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 2.56/2.74 inference(transitivity,[status(thm)],[557, 555])).
% 2.56/2.74 tff(559,plain,
% 2.56/2.74 ((~![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_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(560,plain,
% 2.56/2.74 ((~![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_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[559, 558])).
% 2.56/2.74 tff(561,plain,
% 2.56/2.74 (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[560, 421, 408, 494, 554, 446])).
% 2.56/2.74 tff(562,plain,
% 2.56/2.74 (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))),
% 2.56/2.74 inference(symmetry,[status(thm)],[561])).
% 2.56/2.74 tff(563,plain,
% 2.56/2.74 (min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) <=> min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.56/2.74 inference(monotonicity,[status(thm)],[562])).
% 2.56/2.74 tff(564,plain,
% 2.56/2.74 (min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) <=> min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.56/2.74 inference(symmetry,[status(thm)],[563])).
% 2.56/2.74 tff(565,plain,
% 2.56/2.74 (((~![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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), 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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(566,plain,
% 2.56/2.74 ((~((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))))))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(567,plain,
% 2.56/2.74 (((~![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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), 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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 2.56/2.74 inference(monotonicity,[status(thm)],[566])).
% 2.56/2.74 tff(568,plain,
% 2.56/2.74 (((~![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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), 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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 2.56/2.75 inference(transitivity,[status(thm)],[567, 565])).
% 2.56/2.75 tff(569,plain,
% 2.56/2.75 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0))))))))))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(570,plain,
% 2.56/2.75 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))))))),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[569, 568])).
% 2.56/2.75 tff(571,plain,
% 2.56/2.75 (~((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[570, 198])).
% 2.56/2.75 tff(572,plain,
% 2.56/2.75 (((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) | (~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))))) | ((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))),
% 2.56/2.75 inference(tautology,[status(thm)],[])).
% 2.56/2.75 tff(573,plain,
% 2.56/2.75 ((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[572, 571])).
% 2.56/2.75 tff(574,plain,
% 2.56/2.75 (((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) | next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.56/2.75 inference(tautology,[status(thm)],[])).
% 2.56/2.75 tff(575,plain,
% 2.56/2.75 (next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[574, 535])).
% 2.56/2.75 tff(576,plain,
% 2.56/2.75 ((~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 2.60/2.75 inference(tautology,[status(thm)],[])).
% 2.60/2.75 tff(577,plain,
% 2.60/2.75 ((~((~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))) | (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 2.60/2.75 inference(unit_resolution,[status(thm)],[576, 575])).
% 2.60/2.75 tff(578,plain,
% 2.60/2.75 (~((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))),
% 2.60/2.75 inference(unit_resolution,[status(thm)],[577, 573])).
% 2.60/2.75 tff(579,plain,
% 2.60/2.75 (((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))) | min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.60/2.75 inference(tautology,[status(thm)],[])).
% 2.60/2.75 tff(580,plain,
% 2.60/2.75 (min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.60/2.75 inference(unit_resolution,[status(thm)],[579, 578])).
% 2.60/2.75 tff(581,plain,
% 2.60/2.75 (min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.60/2.75 inference(modus_ponens,[status(thm)],[580, 564])).
% 2.60/2.75 tff(582,plain,
% 2.60/2.75 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0))))))))))),
% 2.60/2.75 inference(quant_inst,[status(thm)],[])).
% 2.60/2.75 tff(583,plain,
% 2.60/2.75 (~((~(next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)))))))))),
% 2.60/2.76 inference(unit_resolution,[status(thm)],[582, 198])).
% 2.60/2.76 tff(584,plain,
% 2.60/2.76 (((~(next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X18_0(tptp0, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18))), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)))))))),
% 2.60/2.76 inference(tautology,[status(thm)],[])).
% 2.60/2.76 tff(585,plain,
% 2.60/2.76 ((~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0))))))),
% 2.60/2.76 inference(unit_resolution,[status(thm)],[584, 583])).
% 2.60/2.76 tff(586,plain,
% 2.60/2.76 (((~occurrence_of(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp3)) | (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~occurrence_of(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp4)) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~(occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp1) | occurrence_of(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp2))) | (~next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) | next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.60/2.76 inference(tautology,[status(thm)],[])).
% 2.60/2.76 tff(587,plain,
% 2.60/2.76 (next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.60/2.76 inference(unit_resolution,[status(thm)],[586, 535])).
% 2.60/2.76 tff(588,plain,
% 2.60/2.76 ((~((~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0))))))),
% 2.60/2.76 inference(tautology,[status(thm)],[])).
% 2.60/2.76 tff(589,plain,
% 2.60/2.76 ((~((~next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0))))))),
% 2.60/2.76 inference(unit_resolution,[status(thm)],[588, 587])).
% 2.60/2.76 tff(590,plain,
% 2.60/2.76 (~((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0)))))),
% 2.60/2.76 inference(unit_resolution,[status(thm)],[589, 585])).
% 2.60/2.76 tff(591,plain,
% 2.60/2.76 (((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), X18, tptp0))))) | min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.60/2.76 inference(tautology,[status(thm)],[])).
% 2.60/2.76 tff(592,plain,
% 2.60/2.76 (min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)),
% 2.60/2.76 inference(unit_resolution,[status(thm)],[591, 590])).
% 2.60/2.76 tff(593,plain,
% 2.60/2.76 (^[X0: $i, X1: $i, X2: $i, X3: $i] : refl((min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))) <=> (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))))),
% 2.60/2.76 inference(bind,[status(th)],[])).
% 2.60/2.76 tff(594,plain,
% 2.60/2.76 (![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))) <=> ![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))),
% 2.60/2.76 inference(quant_intro,[status(thm)],[593])).
% 2.60/2.76 tff(595,plain,
% 2.60/2.76 (^[X0: $i, X1: $i, X2: $i, X3: $i] : trans(monotonicity(trans(monotonicity(rewrite((min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3)) <=> (~((~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))))), ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) <=> (~(~((~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))))))), rewrite((~(~((~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))))) <=> ((~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))), ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) <=> ((~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))))), (((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3)) <=> (((~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))) | min_precedes(X0, X2, X3)))), rewrite((((~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3))) | min_precedes(X0, X2, X3)) <=> (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))), (((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3)) <=> (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))))),
% 2.60/2.76 inference(bind,[status(th)],[])).
% 2.60/2.76 tff(596,plain,
% 2.60/2.76 (![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3)) <=> ![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))),
% 2.60/2.76 inference(quant_intro,[status(thm)],[595])).
% 2.60/2.76 tff(597,plain,
% 2.60/2.76 (![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3)) <=> ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3))),
% 2.60/2.76 inference(rewrite,[status(thm)],[])).
% 2.60/2.76 tff(598,plain,
% 2.60/2.76 (^[X0: $i, X1: $i, X2: $i, X3: $i] : rewrite(((min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3)) => min_precedes(X0, X2, X3)) <=> ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3)))),
% 2.60/2.76 inference(bind,[status(th)],[])).
% 2.60/2.76 tff(599,plain,
% 2.60/2.76 (![X0: $i, X1: $i, X2: $i, X3: $i] : ((min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3)) => min_precedes(X0, X2, X3)) <=> ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3))),
% 2.60/2.76 inference(quant_intro,[status(thm)],[598])).
% 2.60/2.76 tff(600,axiom,(![X0: $i, X1: $i, X2: $i, X3: $i] : ((min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3)) => min_precedes(X0, X2, X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos')).
% 2.60/2.76 tff(601,plain,
% 2.60/2.76 (![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3))),
% 2.60/2.76 inference(modus_ponens,[status(thm)],[600, 599])).
% 2.60/2.76 tff(602,plain,
% 2.60/2.76 (![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3))),
% 2.60/2.76 inference(modus_ponens,[status(thm)],[601, 597])).
% 2.60/2.76 tff(603,plain,(
% 2.60/2.76 ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3))),
% 2.60/2.76 inference(skolemize,[status(sab)],[602])).
% 2.60/2.76 tff(604,plain,
% 2.60/2.76 (![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))),
% 2.60/2.76 inference(modus_ponens,[status(thm)],[603, 596])).
% 2.60/2.76 tff(605,plain,
% 2.60/2.76 (![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))),
% 2.60/2.76 inference(modus_ponens,[status(thm)],[604, 594])).
% 2.60/2.76 tff(606,plain,
% 2.60/2.76 (((~![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))) | ((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))) <=> ((~![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))),
% 2.60/2.76 inference(rewrite,[status(thm)],[])).
% 2.60/2.76 tff(607,plain,
% 2.60/2.76 ((min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))) <=> ((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))),
% 2.60/2.76 inference(rewrite,[status(thm)],[])).
% 2.60/2.76 tff(608,plain,
% 2.60/2.76 (((~![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))) | (min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) <=> ((~![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))) | ((~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)))),
% 2.60/2.76 inference(monotonicity,[status(thm)],[607])).
% 2.60/2.76 tff(609,plain,
% 2.60/2.76 (((~![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))) | (min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))) <=> ((~![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0))),
% 2.60/2.77 inference(transitivity,[status(thm)],[608, 606])).
% 2.60/2.77 tff(610,plain,
% 2.60/2.77 ((~![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))) | (min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))),
% 2.60/2.77 inference(quant_inst,[status(thm)],[])).
% 2.60/2.77 tff(611,plain,
% 2.60/2.77 ((~![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))) | (~min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)) | (~min_precedes(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)) | min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.60/2.77 inference(modus_ponens,[status(thm)],[610, 609])).
% 2.60/2.77 tff(612,plain,
% 2.60/2.77 (min_precedes(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 2.60/2.77 inference(unit_resolution,[status(thm)],[611, 605, 592, 581])).
% 2.60/2.77 tff(613,plain,
% 2.60/2.77 ($false),
% 2.60/2.77 inference(unit_resolution,[status(thm)],[612, 552])).
% 2.60/2.77 tff(614,plain,(~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))), inference(lemma,lemma(discharge,[]))).
% 2.60/2.77 tff(615,plain,
% 2.60/2.77 (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.60/2.77 inference(modus_ponens,[status(thm)],[614, 433])).
% 2.60/2.77 tff(616,plain,
% 2.60/2.77 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37))))))))),
% 2.60/2.77 inference(rewrite,[status(thm)],[])).
% 2.60/2.77 tff(617,plain,
% 2.60/2.77 ((~((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))))))),
% 2.60/2.77 inference(rewrite,[status(thm)],[])).
% 2.60/2.77 tff(618,plain,
% 2.60/2.77 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37))))))))),
% 2.60/2.77 inference(monotonicity,[status(thm)],[617])).
% 2.60/2.77 tff(619,plain,
% 2.60/2.77 (((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), 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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37))))))))),
% 2.60/2.77 inference(transitivity,[status(thm)],[618, 616])).
% 2.60/2.77 tff(620,plain,
% 2.60/2.77 ((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)))))))),
% 2.60/2.77 inference(quant_inst,[status(thm)],[])).
% 2.60/2.77 tff(621,plain,
% 2.60/2.77 ((~![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_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))))))),
% 2.60/2.77 inference(modus_ponens,[status(thm)],[620, 619])).
% 2.60/2.77 tff(622,plain,
% 2.60/2.77 (~((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37))))))),
% 2.60/2.77 inference(unit_resolution,[status(thm)],[621, 17])).
% 2.60/2.77 tff(623,plain,
% 2.60/2.77 (((~((~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X99_14(X101!17, X100!18)))))))) | (~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))))) | (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37))))),
% 2.60/2.77 inference(tautology,[status(thm)],[])).
% 2.60/2.77 tff(624,plain,
% 2.60/2.77 (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))),
% 2.60/2.77 inference(unit_resolution,[status(thm)],[623, 622])).
% 2.60/2.77 tff(625,plain,
% 2.60/2.77 ((~(leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37))))) | leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))),
% 2.60/2.77 inference(tautology,[status(thm)],[])).
% 2.60/2.77 tff(626,plain,
% 2.60/2.77 (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))),
% 2.60/2.77 inference(unit_resolution,[status(thm)],[625, 624])).
% 2.60/2.77 tff(627,plain,
% 2.60/2.77 (![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))),
% 2.60/2.77 inference(unit_resolution,[status(thm)],[626, 615])).
% 2.60/2.77 tff(628,plain,
% 2.60/2.77 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0)))) | subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.60/2.77 inference(tautology,[status(thm)],[])).
% 2.60/2.77 tff(629,plain,
% 2.60/2.77 (subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))),
% 2.60/2.77 inference(unit_resolution,[status(thm)],[628, 492])).
% 2.60/2.77 tff(630,plain,
% 2.60/2.77 (((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)))),
% 2.60/2.78 inference(rewrite,[status(thm)],[])).
% 2.60/2.78 tff(631,plain,
% 2.60/2.78 (((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)))),
% 2.60/2.78 inference(rewrite,[status(thm)],[])).
% 2.60/2.78 tff(632,plain,
% 2.60/2.78 (((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0))))),
% 2.60/2.78 inference(monotonicity,[status(thm)],[631])).
% 2.60/2.78 tff(633,plain,
% 2.60/2.78 (((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)))),
% 2.60/2.78 inference(transitivity,[status(thm)],[632, 630])).
% 2.60/2.78 tff(634,plain,
% 2.60/2.78 ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | ((~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)))),
% 2.60/2.78 inference(quant_inst,[status(thm)],[])).
% 2.60/2.78 tff(635,plain,
% 2.60/2.78 ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0))),
% 2.60/2.78 inference(modus_ponens,[status(thm)],[634, 633])).
% 2.60/2.78 tff(636,plain,
% 2.60/2.78 ($false),
% 2.60/2.78 inference(unit_resolution,[status(thm)],[635, 494, 629, 252, 627])).
% 2.60/2.78 % SZS output end Proof
% 2.60/2.78 % E exiting
%------------------------------------------------------------------------------