TSTP Solution File: PRO016+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PRO016+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 13:52:27 EDT 2022
% Result : Theorem 4.93s 3.35s
% Output : Proof 5.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PRO016+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Sep 2 18:33:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 4.93/3.35 % SZS status Theorem
% 4.93/3.35 % SZS output start Proof
% 4.93/3.35 tff(occurrence_of_type, type, (
% 4.93/3.35 occurrence_of: ( $i * $i ) > $o)).
% 4.93/3.35 tff(tptp_fun_X73_8_type, type, (
% 4.93/3.35 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 4.93/3.35 tff(tptp0_type, type, (
% 4.93/3.35 tptp0: $i)).
% 4.93/3.35 tff(tptp_fun_X98_15_type, type, (
% 4.93/3.35 tptp_fun_X98_15: ( $i * $i ) > $i)).
% 4.93/3.35 tff(tptp_fun_X100_18_type, type, (
% 4.93/3.35 tptp_fun_X100_18: $i)).
% 4.93/3.35 tff(tptp_fun_X101_17_type, type, (
% 4.93/3.35 tptp_fun_X101_17: $i)).
% 4.93/3.35 tff(tptp_fun_X99_14_type, type, (
% 4.93/3.35 tptp_fun_X99_14: ( $i * $i ) > $i)).
% 4.93/3.35 tff(subactivity_occurrence_type, type, (
% 4.93/3.35 subactivity_occurrence: ( $i * $i ) > $o)).
% 4.93/3.35 tff(leaf_type, type, (
% 4.93/3.35 leaf: ( $i * $i ) > $o)).
% 4.93/3.35 tff(leaf_occ_type, type, (
% 4.93/3.35 leaf_occ: ( $i * $i ) > $o)).
% 4.93/3.35 tff(tptp_fun_X44_3_type, type, (
% 4.93/3.35 tptp_fun_X44_3: ( $i * $i ) > $i)).
% 4.93/3.35 tff(tptp_fun_X37_2_type, type, (
% 4.93/3.35 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 4.93/3.35 tff(min_precedes_type, type, (
% 4.93/3.35 min_precedes: ( $i * $i * $i ) > $o)).
% 4.93/3.35 tff(tptp_fun_X53_6_type, type, (
% 4.93/3.35 tptp_fun_X53_6: $i > $i)).
% 4.93/3.35 tff(next_subocc_type, type, (
% 4.93/3.35 next_subocc: ( $i * $i * $i ) > $o)).
% 4.93/3.35 tff(tptp2_type, type, (
% 4.93/3.35 tptp2: $i)).
% 4.93/3.35 tff(tptp1_type, type, (
% 4.93/3.35 tptp1: $i)).
% 4.93/3.35 tff(tptp_fun_X97_16_type, type, (
% 4.93/3.35 tptp_fun_X97_16: ( $i * $i ) > $i)).
% 4.93/3.35 tff(tptp4_type, type, (
% 4.93/3.35 tptp4: $i)).
% 4.93/3.35 tff(tptp3_type, type, (
% 4.93/3.35 tptp3: $i)).
% 4.93/3.35 tff(tptp_fun_X105_20_type, type, (
% 4.93/3.35 tptp_fun_X105_20: $i > $i)).
% 4.93/3.35 tff(tptp_fun_X104_19_type, type, (
% 4.93/3.35 tptp_fun_X104_19: $i > $i)).
% 4.93/3.35 tff(arboreal_type, type, (
% 4.93/3.35 arboreal: $i > $o)).
% 4.93/3.35 tff(activity_type, type, (
% 4.93/3.35 activity: $i > $o)).
% 4.93/3.35 tff(activity_occurrence_type, type, (
% 4.93/3.35 activity_occurrence: $i > $o)).
% 4.93/3.35 tff(root_type, type, (
% 4.93/3.35 root: ( $i * $i ) > $o)).
% 4.93/3.35 tff(tptp_fun_X45_4_type, type, (
% 4.93/3.35 tptp_fun_X45_4: ( $i * $i ) > $i)).
% 4.93/3.35 tff(tptp_fun_X18_0_type, type, (
% 4.93/3.35 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 4.93/3.35 tff(atomic_type, type, (
% 4.93/3.35 atomic: $i > $o)).
% 4.93/3.35 tff(tptp_fun_X48_5_type, type, (
% 4.93/3.35 tptp_fun_X48_5: ( $i * $i ) > $i)).
% 4.93/3.35 tff(tptp_fun_X80_11_type, type, (
% 4.93/3.35 tptp_fun_X80_11: ( $i * $i * $i ) > $i)).
% 4.93/3.35 tff(subactivity_type, type, (
% 4.93/3.35 subactivity: ( $i * $i ) > $o)).
% 4.93/3.35 tff(atocc_type, type, (
% 4.93/3.35 atocc: ( $i * $i ) > $o)).
% 4.93/3.35 tff(tptp_fun_X81_10_type, type, (
% 4.93/3.35 tptp_fun_X81_10: ( $i * $i * $i ) > $i)).
% 4.93/3.35 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)).
% 4.93/3.35 tff(2,plain,
% 4.93/3.35 (^[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))))))))),
% 4.93/3.35 inference(bind,[status(th)],[])).
% 4.93/3.35 tff(3,plain,
% 4.93/3.35 (![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)))))))),
% 4.93/3.35 inference(quant_intro,[status(thm)],[2])).
% 4.93/3.35 tff(4,plain,
% 4.93/3.35 (^[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))))))))),
% 4.93/3.35 inference(bind,[status(th)],[])).
% 4.93/3.35 tff(5,plain,
% 4.93/3.35 (![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)))))))),
% 4.93/3.35 inference(quant_intro,[status(thm)],[4])).
% 4.93/3.35 tff(6,plain,
% 4.93/3.35 (![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)))))))),
% 4.93/3.35 inference(transitivity,[status(thm)],[5, 3])).
% 4.93/3.35 tff(7,plain,
% 4.93/3.35 (^[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)))))))))),
% 4.93/3.35 inference(bind,[status(th)],[])).
% 4.93/3.35 tff(8,plain,
% 4.93/3.35 (![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)))))))),
% 4.93/3.35 inference(quant_intro,[status(thm)],[7])).
% 4.93/3.35 tff(9,plain,
% 4.93/3.35 (![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)))),
% 4.93/3.35 inference(rewrite,[status(thm)],[])).
% 4.93/3.35 tff(10,plain,
% 4.93/3.35 (^[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))))),
% 4.93/3.35 inference(bind,[status(th)],[])).
% 4.93/3.35 tff(11,plain,
% 4.93/3.35 (![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)))),
% 4.93/3.35 inference(quant_intro,[status(thm)],[10])).
% 4.93/3.35 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')).
% 4.93/3.35 tff(13,plain,
% 4.93/3.35 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 4.93/3.35 inference(modus_ponens,[status(thm)],[12, 11])).
% 4.93/3.35 tff(14,plain,
% 4.93/3.35 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 4.93/3.35 inference(modus_ponens,[status(thm)],[13, 9])).
% 4.93/3.35 tff(15,plain,(
% 4.93/3.35 ![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)))))),
% 4.93/3.35 inference(skolemize,[status(sab)],[14])).
% 4.93/3.35 tff(16,plain,
% 4.93/3.35 (![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)))))))),
% 4.93/3.35 inference(modus_ponens,[status(thm)],[15, 8])).
% 4.93/3.35 tff(17,plain,
% 4.93/3.35 (![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)))))))),
% 4.93/3.35 inference(modus_ponens,[status(thm)],[16, 6])).
% 4.93/3.35 tff(18,plain,
% 4.93/3.35 ((~![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)))))))),
% 4.93/3.35 inference(quant_inst,[status(thm)],[])).
% 4.93/3.35 tff(19,plain,
% 4.93/3.35 (~((~((~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))))))),
% 4.93/3.35 inference(unit_resolution,[status(thm)],[18, 17])).
% 4.93/3.35 tff(20,plain,
% 4.93/3.35 (((~((~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)) | (~((~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)))))))),
% 4.93/3.35 inference(tautology,[status(thm)],[])).
% 4.93/3.35 tff(21,plain,
% 4.93/3.35 ((~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))))))),
% 4.93/3.35 inference(unit_resolution,[status(thm)],[20, 19])).
% 4.93/3.35 tff(22,plain,
% 4.93/3.35 (((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))))),
% 4.93/3.35 inference(rewrite,[status(thm)],[])).
% 4.93/3.35 tff(23,plain,
% 4.93/3.35 (^[X102: $i, X103: $i] : trans(monotonicity(trans(monotonicity(rewrite((~(~occurrence_of(X103, tptp1))) <=> occurrence_of(X103, tptp1)), (((~(~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, 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))), (((~(~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)))), trans(monotonicity(rewrite((~(~occurrence_of(X103, tptp2))) <=> occurrence_of(X103, tptp2)), (((~(~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))))), 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(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)))))),
% 4.93/3.35 inference(bind,[status(th)],[])).
% 4.93/3.35 tff(24,plain,
% 4.93/3.35 (![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)))),
% 4.93/3.35 inference(quant_intro,[status(thm)],[23])).
% 4.93/3.35 tff(25,plain,
% 4.93/3.35 ((~(~(occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17))))) <=> (occurrence_of(X101!17, tptp0) & subactivity_occurrence(X100!18, X101!17) & arboreal(X100!18) & (~leaf_occ(X100!18, X101!17)))),
% 4.93/3.35 inference(rewrite,[status(thm)],[])).
% 4.93/3.35 tff(26,plain,
% 4.93/3.35 (((~(~(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))))),
% 4.93/3.35 inference(monotonicity,[status(thm)],[25, 24])).
% 4.93/3.35 tff(27,plain,
% 4.93/3.35 (((~(~(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))))),
% 4.93/3.36 inference(transitivity,[status(thm)],[26, 22])).
% 4.93/3.36 tff(28,plain,
% 4.93/3.36 ((~![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)))))))),
% 4.93/3.36 inference(rewrite,[status(thm)],[])).
% 4.93/3.36 tff(29,plain,
% 4.93/3.36 ((~![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)))))))),
% 4.93/3.36 inference(rewrite,[status(thm)],[])).
% 4.93/3.36 tff(30,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')).
% 4.93/3.36 tff(31,plain,
% 4.93/3.36 (~![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))))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[30, 29])).
% 4.93/3.36 tff(32,plain,
% 4.93/3.36 (~![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))))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[31, 28])).
% 4.93/3.36 tff(33,plain,
% 4.93/3.36 (~![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))))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[32, 28])).
% 4.93/3.36 tff(34,plain,
% 4.93/3.36 (~![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))))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[33, 28])).
% 4.93/3.36 tff(35,plain,
% 4.93/3.36 (~![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))))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[34, 28])).
% 4.93/3.36 tff(36,plain,
% 4.93/3.36 (~![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))))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[35, 28])).
% 4.93/3.36 tff(37,plain,
% 4.93/3.36 (~![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))))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[36, 28])).
% 4.93/3.36 tff(38,plain,
% 4.93/3.36 (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)))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[37, 27])).
% 4.93/3.36 tff(39,plain,
% 4.93/3.36 (~leaf_occ(X100!18, X101!17)),
% 4.93/3.36 inference(and_elim,[status(thm)],[38])).
% 4.93/3.36 tff(40,plain,
% 4.93/3.36 (arboreal(X100!18)),
% 4.93/3.36 inference(and_elim,[status(thm)],[38])).
% 4.93/3.36 tff(41,plain,
% 4.93/3.36 (subactivity_occurrence(X100!18, X101!17)),
% 4.93/3.36 inference(and_elim,[status(thm)],[38])).
% 4.93/3.36 tff(42,plain,
% 4.93/3.36 (occurrence_of(X101!17, tptp0)),
% 4.93/3.36 inference(and_elim,[status(thm)],[38])).
% 4.93/3.36 tff(43,plain,
% 4.93/3.36 (^[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))))))),
% 4.93/3.36 inference(bind,[status(th)],[])).
% 4.93/3.36 tff(44,plain,
% 4.93/3.36 (![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)))))),
% 4.93/3.36 inference(quant_intro,[status(thm)],[43])).
% 4.93/3.36 tff(45,plain,
% 4.93/3.36 (^[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)))))))),
% 4.93/3.36 inference(bind,[status(th)],[])).
% 4.93/3.36 tff(46,plain,
% 4.93/3.36 (![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)))))),
% 4.93/3.36 inference(quant_intro,[status(thm)],[45])).
% 4.93/3.36 tff(47,plain,
% 4.93/3.36 (![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)))),
% 4.93/3.36 inference(rewrite,[status(thm)],[])).
% 4.93/3.36 tff(48,plain,
% 4.93/3.36 (^[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)))))),
% 4.93/3.36 inference(bind,[status(th)],[])).
% 4.93/3.36 tff(49,plain,
% 4.93/3.36 (![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)))),
% 4.93/3.36 inference(quant_intro,[status(thm)],[48])).
% 4.93/3.36 tff(50,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')).
% 4.93/3.36 tff(51,plain,
% 4.93/3.36 (![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)))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[50, 49])).
% 4.93/3.36 tff(52,plain,
% 4.93/3.36 (![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)))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[51, 47])).
% 4.93/3.36 tff(53,plain,(
% 4.93/3.36 ![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)))),
% 4.93/3.36 inference(skolemize,[status(sab)],[52])).
% 4.93/3.36 tff(54,plain,
% 4.93/3.36 (![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)))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[53, 46])).
% 4.93/3.36 tff(55,plain,
% 4.93/3.36 (![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)))))),
% 4.93/3.36 inference(modus_ponens,[status(thm)],[54, 44])).
% 4.93/3.36 tff(56,plain,
% 4.93/3.36 (((~![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)))))),
% 4.93/3.37 inference(rewrite,[status(thm)],[])).
% 4.93/3.37 tff(57,plain,
% 4.93/3.37 ((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)))))),
% 4.93/3.37 inference(rewrite,[status(thm)],[])).
% 4.93/3.37 tff(58,plain,
% 4.93/3.37 ((~((~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))))),
% 4.93/3.37 inference(rewrite,[status(thm)],[])).
% 4.93/3.37 tff(59,plain,
% 4.93/3.37 ((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)))))),
% 4.93/3.37 inference(monotonicity,[status(thm)],[58])).
% 4.93/3.37 tff(60,plain,
% 4.93/3.37 ((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)))))),
% 4.93/3.37 inference(transitivity,[status(thm)],[59, 57])).
% 4.93/3.37 tff(61,plain,
% 4.93/3.37 (((~![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))))))),
% 4.93/3.37 inference(monotonicity,[status(thm)],[60])).
% 4.93/3.37 tff(62,plain,
% 4.93/3.37 (((~![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)))))),
% 4.93/3.37 inference(transitivity,[status(thm)],[61, 56])).
% 4.93/3.37 tff(63,plain,
% 4.93/3.37 ((~![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)))))),
% 4.93/3.37 inference(quant_inst,[status(thm)],[])).
% 4.93/3.37 tff(64,plain,
% 4.93/3.37 ((~![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))))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[63, 62])).
% 4.93/3.37 tff(65,plain,
% 4.93/3.37 (~((~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)))),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[64, 55, 42, 41, 40, 39])).
% 4.93/3.37 tff(66,plain,
% 4.93/3.37 (((~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)),
% 4.93/3.37 inference(tautology,[status(thm)],[])).
% 4.93/3.37 tff(67,plain,
% 4.93/3.37 (leaf_occ(tptp_fun_X99_14(X101!17, X100!18), X101!17)),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[66, 65])).
% 4.93/3.37 tff(68,plain,
% 4.93/3.37 ((~((~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)) | (~((~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))))))),
% 4.93/3.37 inference(tautology,[status(thm)],[])).
% 4.93/3.37 tff(69,plain,
% 4.93/3.37 ((~((~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)))))))) | (~((~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))))))),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[68, 67])).
% 4.93/3.37 tff(70,plain,
% 4.93/3.37 (~((~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)))))),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[69, 21])).
% 4.93/3.37 tff(71,plain,
% 4.93/3.37 (((~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))))) | occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 4.93/3.37 inference(tautology,[status(thm)],[])).
% 4.93/3.37 tff(72,plain,
% 4.93/3.37 (occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[71, 70])).
% 4.93/3.37 tff(73,plain,
% 4.93/3.37 (^[X89: $i, X90: $i] : refl(((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(74,plain,
% 4.93/3.37 (![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)))))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[73])).
% 4.93/3.37 tff(75,plain,
% 4.93/3.37 (^[X89: $i, X90: $i] : rewrite(((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(76,plain,
% 4.93/3.37 (![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)))))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[75])).
% 4.93/3.37 tff(77,plain,
% 4.93/3.37 (![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)))),
% 4.93/3.37 inference(rewrite,[status(thm)],[])).
% 4.93/3.37 tff(78,plain,
% 4.93/3.37 (^[X89: $i, X90: $i] : rewrite((occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(79,plain,
% 4.93/3.37 (![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)))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[78])).
% 4.93/3.37 tff(80,axiom,(![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_29')).
% 4.93/3.37 tff(81,plain,
% 4.93/3.37 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[80, 79])).
% 4.93/3.37 tff(82,plain,
% 4.93/3.37 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[81, 77])).
% 4.93/3.37 tff(83,plain,(
% 4.93/3.37 ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 4.93/3.37 inference(skolemize,[status(sab)],[82])).
% 4.93/3.37 tff(84,plain,
% 4.93/3.37 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[83, 76])).
% 4.93/3.37 tff(85,plain,
% 4.93/3.37 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[84, 74])).
% 4.93/3.37 tff(86,plain,
% 4.93/3.37 (((~![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)))))),
% 4.93/3.37 inference(rewrite,[status(thm)],[])).
% 4.93/3.37 tff(87,plain,
% 4.93/3.37 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))),
% 4.93/3.37 inference(quant_inst,[status(thm)],[])).
% 4.93/3.37 tff(88,plain,
% 4.93/3.37 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17))))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[87, 86])).
% 4.93/3.37 tff(89,plain,
% 4.93/3.37 (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[88, 85, 42])).
% 4.93/3.37 tff(90,plain,
% 4.93/3.37 (((~activity(tptp0)) | (~activity_occurrence(X101!17))) | activity_occurrence(X101!17)),
% 4.93/3.37 inference(tautology,[status(thm)],[])).
% 4.93/3.37 tff(91,plain,
% 4.93/3.37 (activity_occurrence(X101!17)),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[90, 89])).
% 4.93/3.37 tff(92,plain,
% 4.93/3.37 (^[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)))))))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(93,plain,
% 4.93/3.37 (![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))))))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[92])).
% 4.93/3.37 tff(94,plain,
% 4.93/3.37 (^[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)))))))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(95,plain,
% 4.93/3.37 (![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))))))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[94])).
% 4.93/3.37 tff(96,plain,
% 4.93/3.37 (![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)))),
% 4.93/3.37 inference(rewrite,[status(thm)],[])).
% 4.93/3.37 tff(97,plain,
% 4.93/3.37 (^[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))))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(98,plain,
% 4.93/3.37 (![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)))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[97])).
% 4.93/3.37 tff(99,axiom,(![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_18')).
% 4.93/3.37 tff(100,plain,
% 4.93/3.37 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[99, 98])).
% 4.93/3.37 tff(101,plain,
% 4.93/3.37 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[100, 96])).
% 4.93/3.37 tff(102,plain,(
% 4.93/3.37 ![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52))))),
% 4.93/3.37 inference(skolemize,[status(sab)],[101])).
% 4.93/3.37 tff(103,plain,
% 4.93/3.37 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[102, 95])).
% 4.93/3.37 tff(104,plain,
% 4.93/3.37 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[103, 93])).
% 4.93/3.37 tff(105,plain,
% 4.93/3.37 (((~![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))))))),
% 4.93/3.37 inference(rewrite,[status(thm)],[])).
% 4.93/3.37 tff(106,plain,
% 4.93/3.37 ((~![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))))))),
% 4.93/3.37 inference(quant_inst,[status(thm)],[])).
% 4.93/3.37 tff(107,plain,
% 4.93/3.37 ((~![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)))))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[106, 105])).
% 4.93/3.37 tff(108,plain,
% 4.93/3.37 (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[107, 104, 91])).
% 4.93/3.37 tff(109,plain,
% 4.93/3.37 (((~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))),
% 4.93/3.37 inference(tautology,[status(thm)],[])).
% 4.93/3.37 tff(110,plain,
% 4.93/3.37 (occurrence_of(X101!17, tptp_fun_X53_6(X101!17))),
% 4.93/3.37 inference(unit_resolution,[status(thm)],[109, 108])).
% 4.93/3.37 tff(111,plain,
% 4.93/3.37 (^[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))))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(112,plain,
% 4.93/3.37 (![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)))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[111])).
% 4.93/3.37 tff(113,plain,
% 4.93/3.37 (^[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)))))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(114,plain,
% 4.93/3.37 (![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)))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[113])).
% 4.93/3.37 tff(115,plain,
% 4.93/3.37 (![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))),
% 4.93/3.37 inference(rewrite,[status(thm)],[])).
% 4.93/3.37 tff(116,plain,
% 4.93/3.37 (^[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)))),
% 4.93/3.37 inference(bind,[status(th)],[])).
% 4.93/3.37 tff(117,plain,
% 4.93/3.37 (![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))),
% 4.93/3.37 inference(quant_intro,[status(thm)],[116])).
% 4.93/3.37 tff(118,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')).
% 4.93/3.37 tff(119,plain,
% 4.93/3.37 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[118, 117])).
% 4.93/3.37 tff(120,plain,
% 4.93/3.37 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[119, 115])).
% 4.93/3.37 tff(121,plain,(
% 4.93/3.37 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 4.93/3.37 inference(skolemize,[status(sab)],[120])).
% 4.93/3.37 tff(122,plain,
% 4.93/3.37 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[121, 114])).
% 4.93/3.37 tff(123,plain,
% 4.93/3.37 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 4.93/3.37 inference(modus_ponens,[status(thm)],[122, 112])).
% 4.93/3.37 tff(124,plain,
% 4.93/3.37 (((~![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))))),
% 4.93/3.38 inference(rewrite,[status(thm)],[])).
% 4.93/3.38 tff(125,plain,
% 4.93/3.38 (((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))))),
% 4.93/3.38 inference(rewrite,[status(thm)],[])).
% 4.93/3.38 tff(126,plain,
% 4.93/3.38 (((~![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)))))),
% 4.93/3.38 inference(monotonicity,[status(thm)],[125])).
% 4.93/3.38 tff(127,plain,
% 4.93/3.38 (((~![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))))),
% 4.93/3.38 inference(transitivity,[status(thm)],[126, 124])).
% 4.93/3.38 tff(128,plain,
% 4.93/3.38 ((~![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))))),
% 4.93/3.38 inference(quant_inst,[status(thm)],[])).
% 4.93/3.38 tff(129,plain,
% 4.93/3.38 ((~![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)))),
% 4.93/3.38 inference(modus_ponens,[status(thm)],[128, 127])).
% 4.93/3.38 tff(130,plain,
% 4.93/3.38 (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))),
% 4.93/3.38 inference(unit_resolution,[status(thm)],[129, 123, 110, 72])).
% 4.93/3.38 tff(131,plain,
% 4.93/3.38 (((~![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))),
% 4.93/3.38 inference(rewrite,[status(thm)],[])).
% 4.93/3.38 tff(132,plain,
% 4.93/3.38 (((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))),
% 4.93/3.38 inference(rewrite,[status(thm)],[])).
% 4.93/3.38 tff(133,plain,
% 4.93/3.38 (((~![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)))),
% 4.93/3.38 inference(monotonicity,[status(thm)],[132])).
% 4.93/3.38 tff(134,plain,
% 4.93/3.38 (((~![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))),
% 4.93/3.38 inference(transitivity,[status(thm)],[133, 131])).
% 4.93/3.38 tff(135,plain,
% 4.93/3.38 ((~![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))))),
% 4.93/3.38 inference(quant_inst,[status(thm)],[])).
% 4.93/3.38 tff(136,plain,
% 4.93/3.38 ((~![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)),
% 4.93/3.38 inference(modus_ponens,[status(thm)],[135, 134])).
% 4.93/3.38 tff(137,plain,
% 4.93/3.38 (tptp_fun_X53_6(X101!17) = tptp0),
% 4.93/3.38 inference(unit_resolution,[status(thm)],[136, 123, 42, 110])).
% 4.93/3.38 tff(138,plain,
% 4.93/3.38 (tptp0 = tptp_fun_X53_6(X101!17)),
% 4.93/3.38 inference(symmetry,[status(thm)],[137])).
% 4.93/3.38 tff(139,plain,
% 4.93/3.38 (tptp0 = tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18))),
% 4.93/3.38 inference(transitivity,[status(thm)],[138, 130])).
% 4.93/3.38 tff(140,plain,
% 4.93/3.38 (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)))),
% 4.93/3.38 inference(monotonicity,[status(thm)],[139])).
% 4.93/3.38 tff(141,plain,
% 4.93/3.38 (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)),
% 4.93/3.38 inference(symmetry,[status(thm)],[140])).
% 4.93/3.38 tff(142,plain,
% 4.93/3.38 (^[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))))))))))),
% 4.93/3.38 inference(bind,[status(th)],[])).
% 4.93/3.38 tff(143,plain,
% 4.93/3.38 (![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)))))))))),
% 4.93/3.38 inference(quant_intro,[status(thm)],[142])).
% 4.93/3.38 tff(144,plain,
% 4.93/3.38 (^[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))))))))))),
% 4.93/3.38 inference(bind,[status(th)],[])).
% 4.93/3.38 tff(145,plain,
% 4.93/3.38 (![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)))))))))),
% 4.93/3.38 inference(quant_intro,[status(thm)],[144])).
% 4.93/3.38 tff(146,plain,
% 4.93/3.38 (![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)))))))))),
% 4.93/3.38 inference(transitivity,[status(thm)],[145, 143])).
% 4.93/3.38 tff(147,plain,
% 4.93/3.38 (^[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)))))))))))),
% 4.93/3.38 inference(bind,[status(th)],[])).
% 4.93/3.38 tff(148,plain,
% 4.93/3.38 (![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)))))))))),
% 4.93/3.38 inference(quant_intro,[status(thm)],[147])).
% 4.93/3.38 tff(149,plain,
% 4.93/3.38 (^[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))))),
% 4.93/3.38 inference(bind,[status(th)],[])).
% 4.93/3.38 tff(150,plain,
% 4.93/3.38 (![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)))),
% 4.93/3.38 inference(quant_intro,[status(thm)],[149])).
% 4.93/3.38 tff(151,plain,
% 4.93/3.38 (![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))))),
% 4.93/3.38 inference(rewrite,[status(thm)],[])).
% 4.93/3.38 tff(152,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')).
% 4.93/3.38 tff(153,plain,
% 4.93/3.38 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 4.93/3.38 inference(modus_ponens,[status(thm)],[152, 151])).
% 4.93/3.38 tff(154,plain,(
% 4.93/3.38 ![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))))),
% 4.93/3.38 inference(skolemize,[status(sab)],[153])).
% 4.93/3.38 tff(155,plain,
% 4.93/3.38 (![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)))),
% 4.93/3.38 inference(modus_ponens,[status(thm)],[154, 150])).
% 4.93/3.38 tff(156,plain,
% 4.93/3.38 (![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)))))))))),
% 4.93/3.38 inference(modus_ponens,[status(thm)],[155, 148])).
% 4.93/3.38 tff(157,plain,
% 4.93/3.38 (![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)))))))))),
% 4.93/3.38 inference(modus_ponens,[status(thm)],[156, 146])).
% 4.93/3.38 tff(158,plain,
% 4.93/3.38 ((~![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)))))))))))),
% 4.93/3.38 inference(quant_inst,[status(thm)],[])).
% 4.93/3.38 tff(159,plain,
% 4.93/3.38 (~((~((~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))))))))))),
% 4.93/3.38 inference(unit_resolution,[status(thm)],[158, 157])).
% 4.93/3.38 tff(160,plain,
% 4.93/3.38 (((~((~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))))))))),
% 4.93/3.38 inference(tautology,[status(thm)],[])).
% 4.93/3.38 tff(161,plain,
% 4.93/3.38 ((~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)))))))),
% 4.93/3.38 inference(unit_resolution,[status(thm)],[160, 159])).
% 4.93/3.38 tff(162,plain,
% 4.93/3.38 (((~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(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 4.93/3.38 inference(tautology,[status(thm)],[])).
% 4.93/3.38 tff(163,plain,
% 4.93/3.38 (leaf(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 4.93/3.38 inference(unit_resolution,[status(thm)],[162, 70])).
% 4.93/3.38 tff(164,plain,
% 4.93/3.38 ((~((~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)))))))),
% 4.93/3.38 inference(tautology,[status(thm)],[])).
% 4.93/3.38 tff(165,plain,
% 4.93/3.38 ((~((~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)))))))),
% 4.93/3.38 inference(unit_resolution,[status(thm)],[164, 163])).
% 4.93/3.38 tff(166,plain,
% 4.93/3.38 (~((~(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))))))),
% 4.93/3.38 inference(unit_resolution,[status(thm)],[165, 161])).
% 4.93/3.38 tff(167,plain,
% 4.93/3.38 (((~(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))))),
% 4.93/3.38 inference(tautology,[status(thm)],[])).
% 4.93/3.38 tff(168,plain,
% 4.93/3.38 (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)))),
% 4.93/3.38 inference(unit_resolution,[status(thm)],[167, 166])).
% 4.93/3.38 tff(169,plain,
% 4.93/3.38 (tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)) = tptp_fun_X53_6(X101!17)),
% 4.93/3.38 inference(symmetry,[status(thm)],[130])).
% 4.93/3.38 tff(170,plain,
% 4.93/3.38 (tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)) = tptp0),
% 4.93/3.38 inference(transitivity,[status(thm)],[169, 137])).
% 4.93/3.38 tff(171,plain,
% 4.93/3.38 (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)),
% 4.93/3.38 inference(monotonicity,[status(thm)],[170])).
% 4.93/3.38 tff(172,plain,
% 4.93/3.38 (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)))),
% 4.93/3.38 inference(symmetry,[status(thm)],[171])).
% 4.93/3.38 tff(173,plain,
% 4.93/3.38 ((~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))))),
% 4.93/3.38 inference(monotonicity,[status(thm)],[172])).
% 4.93/3.38 tff(174,plain,
% 4.93/3.38 (^[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)))))))))))),
% 4.93/3.38 inference(bind,[status(th)],[])).
% 4.93/3.38 tff(175,plain,
% 4.93/3.38 (![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))))))))))),
% 4.93/3.38 inference(quant_intro,[status(thm)],[174])).
% 4.93/3.38 tff(176,plain,
% 4.93/3.38 (^[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)))))))))),
% 4.93/3.38 inference(bind,[status(th)],[])).
% 4.93/3.38 tff(177,plain,
% 4.93/3.38 (![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))))))))),
% 4.93/3.38 inference(quant_intro,[status(thm)],[176])).
% 4.93/3.38 tff(178,plain,
% 4.93/3.38 (^[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)))))))))),
% 4.93/3.38 inference(bind,[status(th)],[])).
% 4.93/3.38 tff(179,plain,
% 4.93/3.38 (![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))))))))),
% 4.93/3.38 inference(quant_intro,[status(thm)],[178])).
% 4.93/3.38 tff(180,plain,
% 4.93/3.38 (![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))))))))),
% 4.93/3.38 inference(transitivity,[status(thm)],[179, 177])).
% 4.93/3.38 tff(181,plain,
% 4.93/3.38 (^[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))))))))))),
% 4.93/3.39 inference(bind,[status(th)],[])).
% 4.93/3.39 tff(182,plain,
% 4.93/3.39 (![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))))))))),
% 4.93/3.39 inference(quant_intro,[status(thm)],[181])).
% 4.93/3.39 tff(183,plain,
% 4.93/3.39 (^[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)))))),
% 4.93/3.39 inference(bind,[status(th)],[])).
% 4.93/3.39 tff(184,plain,
% 4.93/3.39 (![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))))),
% 4.93/3.39 inference(quant_intro,[status(thm)],[183])).
% 4.93/3.39 tff(185,plain,
% 4.93/3.39 (![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)))))),
% 4.93/3.39 inference(rewrite,[status(thm)],[])).
% 4.93/3.39 tff(186,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')).
% 4.93/3.39 tff(187,plain,
% 4.93/3.39 (![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)))))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[186, 185])).
% 4.93/3.39 tff(188,plain,(
% 4.93/3.39 ![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)))))),
% 4.93/3.39 inference(skolemize,[status(sab)],[187])).
% 4.93/3.39 tff(189,plain,
% 4.93/3.39 (![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))))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[188, 184])).
% 4.93/3.39 tff(190,plain,
% 4.93/3.39 (![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))))))))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[189, 182])).
% 4.93/3.39 tff(191,plain,
% 4.93/3.39 (![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))))))))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[190, 180])).
% 4.93/3.39 tff(192,plain,
% 4.93/3.39 (![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))))))))))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[191, 175])).
% 4.93/3.39 tff(193,plain,
% 4.93/3.39 ((~![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))))))))))),
% 4.93/3.39 inference(quant_inst,[status(thm)],[])).
% 4.93/3.39 tff(194,plain,
% 4.93/3.39 (~((~(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)))))))))),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[193, 192])).
% 4.93/3.39 tff(195,plain,
% 4.93/3.39 (((~(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)))))))),
% 4.93/3.39 inference(tautology,[status(thm)],[])).
% 4.93/3.39 tff(196,plain,
% 4.93/3.39 ((~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))))))),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[195, 194])).
% 4.93/3.39 tff(197,plain,
% 4.93/3.39 (((~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)),
% 4.93/3.39 inference(tautology,[status(thm)],[])).
% 4.93/3.39 tff(198,plain,
% 4.93/3.39 (next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[197, 65])).
% 4.93/3.39 tff(199,plain,
% 4.93/3.39 ((~((~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))))))),
% 4.93/3.39 inference(tautology,[status(thm)],[])).
% 4.93/3.39 tff(200,plain,
% 4.93/3.39 ((~((~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))))))),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[199, 198])).
% 4.93/3.39 tff(201,plain,
% 4.93/3.39 (~((~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)))))),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[200, 196])).
% 4.93/3.39 tff(202,plain,
% 4.93/3.39 (((~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)),
% 4.93/3.39 inference(tautology,[status(thm)],[])).
% 4.93/3.39 tff(203,plain,
% 4.93/3.39 (min_precedes(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[202, 201])).
% 4.93/3.39 tff(204,plain,
% 4.93/3.39 (^[X25: $i, X26: $i, X27: $i] : refl(((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 4.93/3.39 inference(bind,[status(th)],[])).
% 4.93/3.39 tff(205,plain,
% 4.93/3.39 (![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)))),
% 4.93/3.39 inference(quant_intro,[status(thm)],[204])).
% 4.93/3.39 tff(206,plain,
% 4.93/3.39 (![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)))),
% 4.93/3.39 inference(rewrite,[status(thm)],[])).
% 4.93/3.39 tff(207,plain,
% 4.93/3.39 (^[X25: $i, X26: $i, X27: $i] : rewrite((min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 4.93/3.39 inference(bind,[status(th)],[])).
% 4.93/3.39 tff(208,plain,
% 4.93/3.39 (![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)))),
% 4.93/3.39 inference(quant_intro,[status(thm)],[207])).
% 4.93/3.39 tff(209,axiom,(![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 4.93/3.39 tff(210,plain,
% 4.93/3.39 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[209, 208])).
% 4.93/3.39 tff(211,plain,
% 4.93/3.39 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[210, 206])).
% 4.93/3.39 tff(212,plain,(
% 4.93/3.39 ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 4.93/3.39 inference(skolemize,[status(sab)],[211])).
% 4.93/3.39 tff(213,plain,
% 4.93/3.39 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[212, 205])).
% 4.93/3.39 tff(214,plain,
% 4.93/3.39 (((~![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)))),
% 4.93/3.39 inference(rewrite,[status(thm)],[])).
% 4.93/3.39 tff(215,plain,
% 4.93/3.39 ((~![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)))),
% 4.93/3.39 inference(quant_inst,[status(thm)],[])).
% 4.93/3.39 tff(216,plain,
% 4.93/3.39 ((~![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))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[215, 214])).
% 4.93/3.39 tff(217,plain,
% 4.93/3.39 (~root(tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[216, 213, 203])).
% 4.93/3.39 tff(218,plain,
% 4.93/3.39 (~root(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[217, 173])).
% 4.93/3.39 tff(219,plain,
% 4.93/3.39 ((~(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)))),
% 4.93/3.39 inference(tautology,[status(thm)],[])).
% 4.93/3.39 tff(220,plain,
% 4.93/3.39 (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)))),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[219, 218, 168])).
% 4.93/3.39 tff(221,plain,
% 4.93/3.39 (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)),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[220, 141])).
% 4.93/3.39 tff(222,plain,
% 4.93/3.39 (^[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)))))))),
% 4.93/3.39 inference(bind,[status(th)],[])).
% 4.93/3.39 tff(223,plain,
% 4.93/3.39 (![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))))))),
% 4.93/3.39 inference(quant_intro,[status(thm)],[222])).
% 4.93/3.39 tff(224,plain,
% 4.93/3.39 (^[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)))))))),
% 4.93/3.39 inference(bind,[status(th)],[])).
% 4.93/3.39 tff(225,plain,
% 4.93/3.39 (![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))))))),
% 4.93/3.39 inference(quant_intro,[status(thm)],[224])).
% 4.93/3.39 tff(226,plain,
% 4.93/3.39 (![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)))),
% 4.93/3.39 inference(rewrite,[status(thm)],[])).
% 4.93/3.39 tff(227,plain,
% 4.93/3.39 (^[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)))))),
% 4.93/3.39 inference(bind,[status(th)],[])).
% 4.93/3.39 tff(228,plain,
% 4.93/3.39 (![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)))),
% 4.93/3.39 inference(quant_intro,[status(thm)],[227])).
% 4.93/3.39 tff(229,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')).
% 4.93/3.39 tff(230,plain,
% 4.93/3.39 (![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)))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[229, 228])).
% 4.93/3.39 tff(231,plain,
% 4.93/3.39 (![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)))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[230, 226])).
% 4.93/3.39 tff(232,plain,(
% 4.93/3.39 ![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))))),
% 4.93/3.39 inference(skolemize,[status(sab)],[231])).
% 4.93/3.39 tff(233,plain,
% 4.93/3.39 (![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))))))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[232, 225])).
% 4.93/3.39 tff(234,plain,
% 4.93/3.39 (![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))))))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[233, 223])).
% 4.93/3.39 tff(235,plain,
% 4.93/3.39 (((~![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))))))),
% 4.93/3.39 inference(rewrite,[status(thm)],[])).
% 4.93/3.39 tff(236,plain,
% 4.93/3.39 ((~![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))))))),
% 4.93/3.39 inference(quant_inst,[status(thm)],[])).
% 4.93/3.39 tff(237,plain,
% 4.93/3.39 ((~![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)))))),
% 4.93/3.39 inference(modus_ponens,[status(thm)],[236, 235])).
% 4.93/3.39 tff(238,plain,
% 4.93/3.39 ((~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)))))),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[237, 234])).
% 4.93/3.39 tff(239,plain,
% 4.93/3.39 (~((~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))))),
% 4.93/3.39 inference(unit_resolution,[status(thm)],[238, 221])).
% 4.93/3.39 tff(240,plain,
% 4.93/3.39 (((~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))),
% 4.93/3.40 inference(tautology,[status(thm)],[])).
% 4.93/3.40 tff(241,plain,
% 4.93/3.40 (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))),
% 4.93/3.40 inference(unit_resolution,[status(thm)],[240, 239])).
% 4.93/3.40 tff(242,plain,
% 4.93/3.40 (((~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)),
% 4.93/3.40 inference(tautology,[status(thm)],[])).
% 4.93/3.40 tff(243,plain,
% 4.93/3.40 (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)),
% 4.93/3.40 inference(unit_resolution,[status(thm)],[242, 239])).
% 4.93/3.40 tff(244,plain,
% 4.93/3.40 (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)))),
% 4.93/3.40 inference(monotonicity,[status(thm)],[139])).
% 4.93/3.40 tff(245,plain,
% 4.93/3.40 (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)),
% 4.93/3.40 inference(symmetry,[status(thm)],[244])).
% 4.93/3.40 tff(246,plain,
% 4.93/3.40 (leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 4.93/3.40 inference(modus_ponens,[status(thm)],[163, 245])).
% 4.93/3.40 tff(247,plain,
% 4.93/3.40 (((~![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))))),
% 4.93/3.40 inference(rewrite,[status(thm)],[])).
% 4.93/3.40 tff(248,plain,
% 4.93/3.40 (((~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))))),
% 4.93/3.40 inference(rewrite,[status(thm)],[])).
% 4.93/3.40 tff(249,plain,
% 4.93/3.40 (((~![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)))))),
% 4.93/3.40 inference(monotonicity,[status(thm)],[248])).
% 4.93/3.40 tff(250,plain,
% 4.93/3.40 (((~![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))))),
% 4.93/3.40 inference(transitivity,[status(thm)],[249, 247])).
% 4.93/3.40 tff(251,plain,
% 4.93/3.40 ((~![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)))),
% 4.93/3.40 inference(quant_inst,[status(thm)],[])).
% 4.93/3.40 tff(252,plain,
% 4.93/3.40 ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), X37)))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0)))),
% 4.93/3.40 inference(modus_ponens,[status(thm)],[251, 250])).
% 4.93/3.40 tff(253,plain,
% 4.93/3.40 ($false),
% 4.93/3.40 inference(unit_resolution,[status(thm)],[252, 246, 243, 241, 1])).
% 4.93/3.40 tff(254,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,[]))).
% 4.93/3.40 tff(255,plain,
% 4.93/3.40 (((~![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] : ((~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))) | (~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] : ((~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))))))))),
% 4.93/3.40 inference(rewrite,[status(thm)],[])).
% 4.93/3.40 tff(256,plain,
% 4.93/3.40 ((~((~((~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))) | (~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] : ((~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)))))))),
% 4.93/3.40 inference(rewrite,[status(thm)],[])).
% 4.93/3.40 tff(257,plain,
% 4.93/3.40 (((~![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))) | (~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] : ((~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))))))))),
% 4.93/3.41 inference(monotonicity,[status(thm)],[256])).
% 4.93/3.41 tff(258,plain,
% 4.93/3.41 (((~![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))) | (~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] : ((~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))))))))),
% 4.93/3.41 inference(transitivity,[status(thm)],[257, 255])).
% 4.93/3.41 tff(259,plain,
% 4.93/3.41 ((~![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)))))))),
% 4.93/3.41 inference(quant_inst,[status(thm)],[])).
% 4.93/3.41 tff(260,plain,
% 4.93/3.41 ((~![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] : ((~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)))))))),
% 4.93/3.41 inference(modus_ponens,[status(thm)],[259, 258])).
% 4.93/3.41 tff(261,plain,
% 4.93/3.41 (~((~((~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] : ((~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))))))),
% 4.93/3.41 inference(unit_resolution,[status(thm)],[260, 17])).
% 4.93/3.41 tff(262,plain,
% 4.93/3.41 (((~((~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] : ((~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))))),
% 4.93/3.41 inference(tautology,[status(thm)],[])).
% 4.93/3.41 tff(263,plain,
% 4.93/3.41 (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)))),
% 4.93/3.41 inference(unit_resolution,[status(thm)],[262, 261])).
% 4.93/3.41 tff(264,plain,
% 4.93/3.41 ((~(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)))),
% 4.93/3.41 inference(tautology,[status(thm)],[])).
% 4.93/3.41 tff(265,plain,
% 4.93/3.41 (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)))),
% 4.93/3.41 inference(unit_resolution,[status(thm)],[264, 263])).
% 4.93/3.41 tff(266,plain,
% 4.93/3.41 (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))),
% 4.93/3.41 inference(unit_resolution,[status(thm)],[265, 254])).
% 4.93/3.41 tff(267,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)).
% 4.93/3.41 tff(268,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))) | (~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))))))), introduced(assumption)).
% 4.93/3.41 tff(269,plain,
% 4.93/3.41 (((~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)))))) | 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))))),
% 4.93/3.41 inference(tautology,[status(thm)],[])).
% 4.93/3.41 tff(270,plain,
% 4.93/3.41 (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))))),
% 4.93/3.41 inference(unit_resolution,[status(thm)],[269, 268])).
% 4.93/3.41 tff(271,plain,
% 4.93/3.41 (((~![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))),
% 4.93/3.41 inference(rewrite,[status(thm)],[])).
% 4.93/3.41 tff(272,plain,
% 4.93/3.41 (((tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_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))),
% 4.93/3.41 inference(rewrite,[status(thm)],[])).
% 4.93/3.41 tff(273,plain,
% 4.93/3.41 (((~![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)))),
% 4.93/3.41 inference(monotonicity,[status(thm)],[272])).
% 4.93/3.41 tff(274,plain,
% 4.93/3.41 (((~![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))),
% 4.93/3.42 inference(transitivity,[status(thm)],[273, 271])).
% 4.93/3.42 tff(275,plain,
% 4.93/3.42 ((~![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))))))),
% 4.93/3.42 inference(quant_inst,[status(thm)],[])).
% 4.93/3.42 tff(276,plain,
% 4.93/3.42 ((~![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)),
% 4.93/3.42 inference(modus_ponens,[status(thm)],[275, 274])).
% 4.93/3.42 tff(277,plain,
% 4.93/3.42 (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))) = tptp0),
% 4.93/3.42 inference(unit_resolution,[status(thm)],[276, 123, 243, 270])).
% 4.93/3.42 tff(278,plain,
% 4.93/3.42 (tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(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))),
% 4.93/3.42 inference(transitivity,[status(thm)],[277, 138, 130])).
% 4.93/3.42 tff(279,plain,
% 4.93/3.42 (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)))),
% 4.93/3.42 inference(monotonicity,[status(thm)],[278])).
% 4.93/3.42 tff(280,plain,
% 4.93/3.42 (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))))),
% 4.93/3.42 inference(symmetry,[status(thm)],[279])).
% 4.93/3.42 tff(281,plain,
% 4.93/3.42 (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))))),
% 4.93/3.42 inference(modus_ponens,[status(thm)],[220, 280])).
% 4.93/3.42 tff(282,plain,
% 4.93/3.42 (((~![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)))) | (~(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)))))))) | 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))))))))) <=> ((~![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)))) | (~(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)))))))) | 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)))))))))),
% 4.93/3.42 inference(rewrite,[status(thm)],[])).
% 4.93/3.42 tff(283,plain,
% 4.93/3.42 ((~((~((~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)))) | (~(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)))))))) | 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))))))))),
% 5.02/3.43 inference(rewrite,[status(thm)],[])).
% 5.02/3.43 tff(284,plain,
% 5.02/3.43 (((~![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)))) | (~(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)))))))) | 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)))))))))),
% 5.02/3.43 inference(monotonicity,[status(thm)],[283])).
% 5.02/3.43 tff(285,plain,
% 5.02/3.43 (((~![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)))) | (~(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)))))))) | 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)))))))))),
% 5.02/3.43 inference(transitivity,[status(thm)],[284, 282])).
% 5.02/3.43 tff(286,plain,
% 5.02/3.43 ((~![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))))))))))))),
% 5.02/3.44 inference(quant_inst,[status(thm)],[])).
% 5.02/3.44 tff(287,plain,
% 5.02/3.44 ((~![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)))) | (~(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)))))))) | 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))))))))),
% 5.02/3.44 inference(modus_ponens,[status(thm)],[286, 285])).
% 5.02/3.44 tff(288,plain,
% 5.02/3.44 (~((~((~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)))) | (~![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)))))))) | 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)))))))),
% 5.02/3.44 inference(unit_resolution,[status(thm)],[287, 157])).
% 5.02/3.44 tff(289,plain,
% 5.02/3.44 (((~((~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)))) | (~![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)))))))) | 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))))))) | ((~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)))))))))),
% 5.02/3.44 inference(tautology,[status(thm)],[])).
% 5.02/3.44 tff(290,plain,
% 5.02/3.44 ((~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))))))))),
% 5.02/3.44 inference(unit_resolution,[status(thm)],[289, 288])).
% 5.02/3.44 tff(291,plain,
% 5.02/3.44 (((~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(tptp_fun_X44_3(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))))),
% 5.02/3.44 inference(tautology,[status(thm)],[])).
% 5.02/3.44 tff(292,plain,
% 5.02/3.44 (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))))),
% 5.02/3.44 inference(unit_resolution,[status(thm)],[291, 268])).
% 5.02/3.44 tff(293,plain,
% 5.02/3.44 ((~((~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))))))))),
% 5.02/3.45 inference(tautology,[status(thm)],[])).
% 5.02/3.45 tff(294,plain,
% 5.02/3.45 ((~((~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))))))))),
% 5.02/3.45 inference(unit_resolution,[status(thm)],[293, 292])).
% 5.02/3.45 tff(295,plain,
% 5.02/3.45 (~((~(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)))))))),
% 5.02/3.45 inference(unit_resolution,[status(thm)],[294, 290])).
% 5.02/3.45 tff(296,plain,
% 5.02/3.45 (((~(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)))))),
% 5.02/3.45 inference(tautology,[status(thm)],[])).
% 5.02/3.45 tff(297,plain,
% 5.02/3.45 (![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)))))),
% 5.02/3.45 inference(unit_resolution,[status(thm)],[296, 295])).
% 5.02/3.45 tff(298,plain,
% 5.02/3.45 ((~![X45: $i] : (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), X45, tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))) | (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)))))),
% 5.02/3.45 inference(quant_inst,[status(thm)],[])).
% 5.02/3.45 tff(299,plain,
% 5.02/3.45 (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 5.02/3.45 inference(unit_resolution,[status(thm)],[298, 297])).
% 5.02/3.45 tff(300,plain,
% 5.02/3.45 ($false),
% 5.02/3.45 inference(unit_resolution,[status(thm)],[299, 281])).
% 5.02/3.45 tff(301,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))) | (~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)))))), inference(lemma,lemma(discharge,[]))).
% 5.02/3.45 tff(302,plain,
% 5.02/3.45 (((~![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] : ((~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))) | (~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] : ((~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))))))))),
% 5.02/3.45 inference(rewrite,[status(thm)],[])).
% 5.02/3.45 tff(303,plain,
% 5.02/3.45 ((~((~((~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))) | (~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] : ((~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)))))))),
% 5.02/3.45 inference(rewrite,[status(thm)],[])).
% 5.02/3.45 tff(304,plain,
% 5.02/3.45 (((~![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))) | (~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] : ((~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))))))))),
% 5.02/3.46 inference(monotonicity,[status(thm)],[303])).
% 5.02/3.46 tff(305,plain,
% 5.02/3.46 (((~![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))) | (~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] : ((~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))))))))),
% 5.02/3.46 inference(transitivity,[status(thm)],[304, 302])).
% 5.02/3.46 tff(306,plain,
% 5.02/3.46 ((~![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)))))))),
% 5.02/3.46 inference(quant_inst,[status(thm)],[])).
% 5.02/3.46 tff(307,plain,
% 5.02/3.46 ((~![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] : ((~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)))))))),
% 5.02/3.46 inference(modus_ponens,[status(thm)],[306, 305])).
% 5.02/3.46 tff(308,plain,
% 5.02/3.46 (~((~((~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] : ((~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))))))),
% 5.02/3.46 inference(unit_resolution,[status(thm)],[307, 17])).
% 5.02/3.46 tff(309,plain,
% 5.02/3.46 (((~((~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] : ((~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))) | (~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))))))))),
% 5.02/3.46 inference(tautology,[status(thm)],[])).
% 5.02/3.46 tff(310,plain,
% 5.02/3.46 ((~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)))))))),
% 5.02/3.47 inference(unit_resolution,[status(thm)],[309, 308])).
% 5.02/3.47 tff(311,plain,
% 5.02/3.47 ((~((~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))) | (~((~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)))))))),
% 5.02/3.47 inference(tautology,[status(thm)],[])).
% 5.02/3.47 tff(312,plain,
% 5.02/3.47 ((~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)))))))),
% 5.02/3.47 inference(unit_resolution,[status(thm)],[311, 310])).
% 5.02/3.47 tff(313,plain,
% 5.02/3.47 (~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))),
% 5.02/3.47 inference(unit_resolution,[status(thm)],[312, 301])).
% 5.02/3.47 tff(314,plain,
% 5.02/3.47 (^[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))))))))),
% 5.02/3.47 inference(bind,[status(th)],[])).
% 5.02/3.47 tff(315,plain,
% 5.02/3.47 (![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)))))))),
% 5.02/3.47 inference(quant_intro,[status(thm)],[314])).
% 5.02/3.47 tff(316,plain,
% 5.02/3.47 (^[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))))))))),
% 5.02/3.47 inference(bind,[status(th)],[])).
% 5.02/3.47 tff(317,plain,
% 5.02/3.47 (![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)))))))),
% 5.02/3.47 inference(quant_intro,[status(thm)],[316])).
% 5.02/3.47 tff(318,plain,
% 5.02/3.47 (![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)))))))),
% 5.02/3.47 inference(transitivity,[status(thm)],[317, 315])).
% 5.02/3.47 tff(319,plain,
% 5.02/3.47 (^[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)))))))))),
% 5.02/3.47 inference(bind,[status(th)],[])).
% 5.02/3.47 tff(320,plain,
% 5.02/3.47 (![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)))))))),
% 5.02/3.47 inference(quant_intro,[status(thm)],[319])).
% 5.02/3.47 tff(321,plain,
% 5.02/3.47 (![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)))),
% 5.02/3.47 inference(rewrite,[status(thm)],[])).
% 5.02/3.47 tff(322,plain,
% 5.02/3.47 (^[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))))),
% 5.02/3.47 inference(bind,[status(th)],[])).
% 5.02/3.47 tff(323,plain,
% 5.02/3.47 (![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)))),
% 5.02/3.47 inference(quant_intro,[status(thm)],[322])).
% 5.02/3.47 tff(324,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')).
% 5.02/3.47 tff(325,plain,
% 5.02/3.47 (![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : (subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48)))),
% 5.02/3.47 inference(modus_ponens,[status(thm)],[324, 323])).
% 5.02/3.47 tff(326,plain,
% 5.02/3.47 (![X46: $i, X47: $i] : (atocc(X46, X47) <=> ?[X48: $i] : (subactivity(X47, X48) & atomic(X48) & occurrence_of(X46, X48)))),
% 5.02/3.47 inference(modus_ponens,[status(thm)],[325, 321])).
% 5.02/3.47 tff(327,plain,(
% 5.02/3.47 ![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)))))),
% 5.02/3.47 inference(skolemize,[status(sab)],[326])).
% 5.02/3.47 tff(328,plain,
% 5.02/3.47 (![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)))))))),
% 5.02/3.47 inference(modus_ponens,[status(thm)],[327, 320])).
% 5.02/3.47 tff(329,plain,
% 5.02/3.47 (![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)))))))),
% 5.02/3.47 inference(modus_ponens,[status(thm)],[328, 318])).
% 5.02/3.47 tff(330,plain,
% 5.02/3.47 ((~![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)))))))),
% 5.02/3.47 inference(quant_inst,[status(thm)],[])).
% 5.02/3.47 tff(331,plain,
% 5.02/3.47 (~((~((~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))))))),
% 5.02/3.47 inference(unit_resolution,[status(thm)],[330, 329])).
% 5.02/3.47 tff(332,plain,
% 5.02/3.47 (((~((~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))) | (~((~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))))))))),
% 5.02/3.47 inference(tautology,[status(thm)],[])).
% 5.02/3.47 tff(333,plain,
% 5.02/3.47 ((~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)))))))),
% 5.02/3.47 inference(unit_resolution,[status(thm)],[332, 331])).
% 5.02/3.47 tff(334,plain,
% 5.02/3.47 (^[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)))))))),
% 5.02/3.47 inference(bind,[status(th)],[])).
% 5.02/3.47 tff(335,plain,
% 5.02/3.47 (![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))))))),
% 5.02/3.47 inference(quant_intro,[status(thm)],[334])).
% 5.02/3.47 tff(336,plain,
% 5.02/3.47 (^[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)))))))),
% 5.02/3.47 inference(bind,[status(th)],[])).
% 5.02/3.47 tff(337,plain,
% 5.02/3.47 (![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))))))),
% 5.02/3.47 inference(quant_intro,[status(thm)],[336])).
% 5.02/3.47 tff(338,plain,
% 5.02/3.47 (![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)))),
% 5.02/3.47 inference(rewrite,[status(thm)],[])).
% 5.02/3.47 tff(339,plain,
% 5.02/3.47 (^[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)))))),
% 5.02/3.47 inference(bind,[status(th)],[])).
% 5.02/3.47 tff(340,plain,
% 5.02/3.47 (![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)))),
% 5.02/3.47 inference(quant_intro,[status(thm)],[339])).
% 5.02/3.47 tff(341,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')).
% 5.02/3.47 tff(342,plain,
% 5.02/3.47 (![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)))),
% 5.02/3.47 inference(modus_ponens,[status(thm)],[341, 340])).
% 5.02/3.47 tff(343,plain,
% 5.02/3.47 (![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)))),
% 5.02/3.47 inference(modus_ponens,[status(thm)],[342, 338])).
% 5.02/3.47 tff(344,plain,(
% 5.02/3.47 ![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))))),
% 5.02/3.47 inference(skolemize,[status(sab)],[343])).
% 5.02/3.47 tff(345,plain,
% 5.02/3.47 (![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))))))),
% 5.02/3.47 inference(modus_ponens,[status(thm)],[344, 337])).
% 5.02/3.47 tff(346,plain,
% 5.02/3.47 (![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))))))),
% 5.02/3.47 inference(modus_ponens,[status(thm)],[345, 335])).
% 5.02/3.47 tff(347,plain,
% 5.02/3.47 (((~![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))))))),
% 5.02/3.48 inference(rewrite,[status(thm)],[])).
% 5.02/3.48 tff(348,plain,
% 5.02/3.48 ((~![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))))))),
% 5.02/3.48 inference(quant_inst,[status(thm)],[])).
% 5.02/3.48 tff(349,plain,
% 5.02/3.48 ((~![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)))))),
% 5.02/3.48 inference(modus_ponens,[status(thm)],[348, 347])).
% 5.02/3.48 tff(350,plain,
% 5.02/3.48 ((~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)))))),
% 5.02/3.48 inference(unit_resolution,[status(thm)],[349, 346])).
% 5.02/3.48 tff(351,plain,
% 5.02/3.48 (~((~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))))),
% 5.02/3.48 inference(unit_resolution,[status(thm)],[350, 221])).
% 5.02/3.48 tff(352,plain,
% 5.02/3.48 (((~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))),
% 5.02/3.48 inference(tautology,[status(thm)],[])).
% 5.02/3.48 tff(353,plain,
% 5.02/3.48 (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))),
% 5.02/3.48 inference(unit_resolution,[status(thm)],[352, 351])).
% 5.02/3.48 tff(354,plain,
% 5.02/3.48 ((~((~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))) | (~((~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)))))))),
% 5.02/3.48 inference(tautology,[status(thm)],[])).
% 5.02/3.48 tff(355,plain,
% 5.02/3.48 ((~((~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))))))))) | (~((~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)))))))),
% 5.02/3.48 inference(unit_resolution,[status(thm)],[354, 353])).
% 5.02/3.48 tff(356,plain,
% 5.02/3.48 (~((~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))))))),
% 5.02/3.48 inference(unit_resolution,[status(thm)],[355, 333])).
% 5.02/3.48 tff(357,plain,
% 5.02/3.48 (((~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)))))) | 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))))),
% 5.02/3.48 inference(tautology,[status(thm)],[])).
% 5.02/3.48 tff(358,plain,
% 5.02/3.48 (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))))),
% 5.02/3.48 inference(unit_resolution,[status(thm)],[357, 356])).
% 5.02/3.48 tff(359,plain,
% 5.02/3.48 (^[X40: $i, X41: $i] : refl(((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 5.02/3.48 inference(bind,[status(th)],[])).
% 5.02/3.48 tff(360,plain,
% 5.02/3.48 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 5.02/3.48 inference(quant_intro,[status(thm)],[359])).
% 5.02/3.48 tff(361,plain,
% 5.02/3.48 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 5.02/3.48 inference(rewrite,[status(thm)],[])).
% 5.02/3.48 tff(362,plain,
% 5.02/3.48 (^[X40: $i, X41: $i] : rewrite((occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 5.02/3.48 inference(bind,[status(th)],[])).
% 5.02/3.48 tff(363,plain,
% 5.02/3.48 (![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 5.02/3.48 inference(quant_intro,[status(thm)],[362])).
% 5.02/3.48 tff(364,axiom,(![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 5.02/3.48 tff(365,plain,
% 5.02/3.48 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 5.02/3.48 inference(modus_ponens,[status(thm)],[364, 363])).
% 5.02/3.48 tff(366,plain,
% 5.02/3.48 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 5.02/3.48 inference(modus_ponens,[status(thm)],[365, 361])).
% 5.02/3.48 tff(367,plain,(
% 5.02/3.48 ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 5.02/3.48 inference(skolemize,[status(sab)],[366])).
% 5.02/3.48 tff(368,plain,
% 5.02/3.48 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 5.02/3.48 inference(modus_ponens,[status(thm)],[367, 360])).
% 5.02/3.48 tff(369,plain,
% 5.02/3.48 (((~![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))))))),
% 5.02/3.48 inference(rewrite,[status(thm)],[])).
% 5.02/3.48 tff(370,plain,
% 5.02/3.48 ((~![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))))))),
% 5.02/3.48 inference(quant_inst,[status(thm)],[])).
% 5.02/3.48 tff(371,plain,
% 5.02/3.48 ((~![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)))))),
% 5.02/3.48 inference(modus_ponens,[status(thm)],[370, 369])).
% 5.02/3.48 tff(372,plain,
% 5.02/3.48 (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))))),
% 5.02/3.48 inference(unit_resolution,[status(thm)],[371, 368, 358])).
% 5.02/3.48 tff(373,plain,
% 5.02/3.48 (((~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)))))) | 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))))),
% 5.02/3.49 inference(tautology,[status(thm)],[])).
% 5.02/3.49 tff(374,plain,
% 5.02/3.49 (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))))),
% 5.02/3.49 inference(unit_resolution,[status(thm)],[373, 356])).
% 5.02/3.49 tff(375,plain,
% 5.02/3.49 ((~(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)))))),
% 5.02/3.49 inference(tautology,[status(thm)],[])).
% 5.02/3.49 tff(376,plain,
% 5.02/3.49 ((~(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)))),
% 5.02/3.49 inference(unit_resolution,[status(thm)],[375, 374])).
% 5.02/3.49 tff(377,plain,
% 5.02/3.49 (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)))),
% 5.02/3.49 inference(unit_resolution,[status(thm)],[376, 372])).
% 5.02/3.49 tff(378,plain,
% 5.02/3.49 (((~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))),
% 5.02/3.49 inference(tautology,[status(thm)],[])).
% 5.02/3.49 tff(379,plain,
% 5.02/3.49 (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))),
% 5.02/3.49 inference(unit_resolution,[status(thm)],[378, 239])).
% 5.02/3.49 tff(380,plain,
% 5.02/3.49 (((~![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)))))) | ((~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))))))),
% 5.02/3.49 inference(rewrite,[status(thm)],[])).
% 5.02/3.49 tff(381,plain,
% 5.02/3.49 ((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))))))),
% 5.02/3.49 inference(rewrite,[status(thm)],[])).
% 5.02/3.49 tff(382,plain,
% 5.02/3.49 ((~((~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)))))),
% 5.02/3.50 inference(rewrite,[status(thm)],[])).
% 5.02/3.50 tff(383,plain,
% 5.02/3.50 ((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))))))),
% 5.10/3.50 inference(monotonicity,[status(thm)],[382])).
% 5.10/3.50 tff(384,plain,
% 5.10/3.50 ((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))))))),
% 5.10/3.50 inference(transitivity,[status(thm)],[383, 381])).
% 5.10/3.50 tff(385,plain,
% 5.10/3.50 (((~![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(tptp_fun_X44_3(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)))))))),
% 5.10/3.51 inference(monotonicity,[status(thm)],[384])).
% 5.10/3.51 tff(386,plain,
% 5.10/3.51 (((~![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))))))),
% 5.10/3.51 inference(transitivity,[status(thm)],[385, 380])).
% 5.10/3.51 tff(387,plain,
% 5.10/3.51 ((~![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))))))),
% 5.10/3.51 inference(quant_inst,[status(thm)],[])).
% 5.10/3.51 tff(388,plain,
% 5.10/3.51 ((~![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)))))),
% 5.10/3.52 inference(modus_ponens,[status(thm)],[387, 386])).
% 5.10/3.52 tff(389,plain,
% 5.10/3.52 ((~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)))))),
% 5.10/3.52 inference(unit_resolution,[status(thm)],[388, 55, 243, 379])).
% 5.10/3.52 tff(390,plain,
% 5.10/3.52 (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)))))),
% 5.10/3.52 inference(unit_resolution,[status(thm)],[389, 377])).
% 5.10/3.52 tff(391,plain,
% 5.10/3.52 (~((~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))))),
% 5.10/3.52 inference(unit_resolution,[status(thm)],[390, 313])).
% 5.10/3.52 tff(392,plain,
% 5.10/3.52 (((~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))),
% 5.10/3.52 inference(tautology,[status(thm)],[])).
% 5.10/3.52 tff(393,plain,
% 5.10/3.52 (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))),
% 5.10/3.52 inference(unit_resolution,[status(thm)],[392, 391])).
% 5.10/3.52 tff(394,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)).
% 5.10/3.52 tff(395,plain,
% 5.10/3.52 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 5.10/3.52 inference(rewrite,[status(thm)],[])).
% 5.10/3.52 tff(396,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 5.10/3.52 tff(397,plain,
% 5.10/3.52 (~atomic(tptp0)),
% 5.10/3.52 inference(modus_ponens,[status(thm)],[396, 395])).
% 5.10/3.52 tff(398,plain,
% 5.10/3.52 (^[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))))),
% 5.10/3.52 inference(bind,[status(th)],[])).
% 5.10/3.52 tff(399,plain,
% 5.10/3.52 (![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)))),
% 5.10/3.52 inference(quant_intro,[status(thm)],[398])).
% 5.10/3.52 tff(400,plain,
% 5.10/3.52 (^[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)))))),
% 5.10/3.52 inference(bind,[status(th)],[])).
% 5.10/3.52 tff(401,plain,
% 5.10/3.52 (![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)))),
% 5.10/3.52 inference(quant_intro,[status(thm)],[400])).
% 5.10/3.52 tff(402,plain,
% 5.10/3.52 (![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))),
% 5.10/3.52 inference(rewrite,[status(thm)],[])).
% 5.10/3.52 tff(403,plain,
% 5.10/3.52 (^[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))))),
% 5.10/3.52 inference(bind,[status(th)],[])).
% 5.10/3.52 tff(404,plain,
% 5.10/3.52 (![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))),
% 5.10/3.52 inference(quant_intro,[status(thm)],[403])).
% 5.10/3.52 tff(405,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')).
% 5.10/3.52 tff(406,plain,
% 5.10/3.52 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 5.10/3.52 inference(modus_ponens,[status(thm)],[405, 404])).
% 5.10/3.52 tff(407,plain,
% 5.10/3.52 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 5.10/3.52 inference(modus_ponens,[status(thm)],[406, 402])).
% 5.10/3.52 tff(408,plain,(
% 5.10/3.52 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 5.10/3.52 inference(skolemize,[status(sab)],[407])).
% 5.10/3.52 tff(409,plain,
% 5.10/3.52 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 5.10/3.52 inference(modus_ponens,[status(thm)],[408, 401])).
% 5.10/3.52 tff(410,plain,
% 5.10/3.52 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 5.10/3.52 inference(modus_ponens,[status(thm)],[409, 399])).
% 5.10/3.52 tff(411,plain,
% 5.10/3.52 (((~![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)))))),
% 5.10/3.53 inference(rewrite,[status(thm)],[])).
% 5.10/3.53 tff(412,plain,
% 5.10/3.53 (((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)))))),
% 5.10/3.53 inference(rewrite,[status(thm)],[])).
% 5.10/3.53 tff(413,plain,
% 5.10/3.53 (((~![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))))))),
% 5.10/3.53 inference(monotonicity,[status(thm)],[412])).
% 5.10/3.53 tff(414,plain,
% 5.10/3.53 (((~![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)))))),
% 5.10/3.53 inference(transitivity,[status(thm)],[413, 411])).
% 5.10/3.53 tff(415,plain,
% 5.10/3.53 ((~![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))))),
% 5.10/3.53 inference(quant_inst,[status(thm)],[])).
% 5.10/3.53 tff(416,plain,
% 5.10/3.53 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0))) | (tptp_fun_X99_14(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 5.10/3.53 inference(modus_ponens,[status(thm)],[415, 414])).
% 5.10/3.53 tff(417,plain,
% 5.10/3.53 ($false),
% 5.10/3.53 inference(unit_resolution,[status(thm)],[416, 410, 397, 243, 394, 393, 267])).
% 5.10/3.53 tff(418,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,[]))).
% 5.10/3.53 tff(419,plain,
% 5.10/3.53 (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)))),
% 5.10/3.53 inference(unit_resolution,[status(thm)],[418, 266])).
% 5.10/3.53 tff(420,plain,
% 5.10/3.53 (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(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)),
% 5.10/3.53 inference(symmetry,[status(thm)],[419])).
% 5.10/3.53 tff(421,plain,
% 5.10/3.53 (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))),
% 5.10/3.53 inference(monotonicity,[status(thm)],[420])).
% 5.10/3.53 tff(422,plain,
% 5.10/3.53 ((~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)))),
% 5.10/3.53 inference(monotonicity,[status(thm)],[421])).
% 5.10/3.53 tff(423,plain,
% 5.10/3.53 (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)),
% 5.10/3.53 inference(monotonicity,[status(thm)],[420])).
% 5.10/3.53 tff(424,plain,
% 5.10/3.53 (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)),
% 5.10/3.53 inference(symmetry,[status(thm)],[423])).
% 5.10/3.53 tff(425,plain,
% 5.10/3.53 ((~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))),
% 5.10/3.53 inference(monotonicity,[status(thm)],[424])).
% 5.10/3.53 tff(426,plain,
% 5.10/3.53 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_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(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_X97_16(tptp_fun_X73_8(tptp_fun_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(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)))))))))))),
% 5.10/3.54 inference(rewrite,[status(thm)],[])).
% 5.10/3.54 tff(427,plain,
% 5.10/3.54 ((~((~(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_X97_16(tptp_fun_X73_8(tptp_fun_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(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))))))))))),
% 5.10/3.54 inference(rewrite,[status(thm)],[])).
% 5.10/3.54 tff(428,plain,
% 5.10/3.54 (((~![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_X97_16(tptp_fun_X73_8(tptp_fun_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(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)))))))))))),
% 5.10/3.54 inference(monotonicity,[status(thm)],[427])).
% 5.10/3.54 tff(429,plain,
% 5.10/3.54 (((~![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_X97_16(tptp_fun_X73_8(tptp_fun_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(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)))))))))))),
% 5.10/3.54 inference(transitivity,[status(thm)],[428, 426])).
% 5.10/3.54 tff(430,plain,
% 5.10/3.54 ((~![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))))))))))),
% 5.10/3.54 inference(quant_inst,[status(thm)],[])).
% 5.10/3.54 tff(431,plain,
% 5.10/3.54 ((~![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(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))))))))))),
% 5.10/3.54 inference(modus_ponens,[status(thm)],[430, 429])).
% 5.10/3.54 tff(432,plain,
% 5.10/3.54 (~((~(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(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)))))))))),
% 5.10/3.54 inference(unit_resolution,[status(thm)],[431, 192])).
% 5.10/3.54 tff(433,plain,
% 5.10/3.54 (((~(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(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)))))))),
% 5.10/3.54 inference(tautology,[status(thm)],[])).
% 5.10/3.54 tff(434,plain,
% 5.10/3.54 ((~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))))))),
% 5.10/3.54 inference(unit_resolution,[status(thm)],[433, 432])).
% 5.10/3.54 tff(435,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)).
% 5.10/3.54 tff(436,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)).
% 5.10/3.54 tff(437,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)).
% 5.10/3.54 tff(438,plain,
% 5.10/3.54 (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)),
% 5.10/3.55 inference(monotonicity,[status(thm)],[437, 436])).
% 5.10/3.55 tff(439,plain,
% 5.10/3.55 (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)),
% 5.10/3.55 inference(symmetry,[status(thm)],[438])).
% 5.10/3.55 tff(440,plain,
% 5.10/3.55 ((~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))),
% 5.10/3.55 inference(monotonicity,[status(thm)],[439])).
% 5.10/3.55 tff(441,plain,
% 5.10/3.55 (((~![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)))))))))))),
% 5.10/3.55 inference(rewrite,[status(thm)],[])).
% 5.10/3.55 tff(442,plain,
% 5.10/3.55 ((~((~(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))))))))))),
% 5.10/3.55 inference(rewrite,[status(thm)],[])).
% 5.10/3.55 tff(443,plain,
% 5.10/3.55 (((~![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)))))))))))),
% 5.10/3.56 inference(monotonicity,[status(thm)],[442])).
% 5.10/3.56 tff(444,plain,
% 5.10/3.56 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(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)))))))))))),
% 5.10/3.56 inference(transitivity,[status(thm)],[443, 441])).
% 5.10/3.56 tff(445,plain,
% 5.10/3.56 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(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))))))))))),
% 5.10/3.57 inference(quant_inst,[status(thm)],[])).
% 5.10/3.57 tff(446,plain,
% 5.10/3.57 ((~![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))))))))))),
% 5.10/3.57 inference(modus_ponens,[status(thm)],[445, 444])).
% 5.10/3.57 tff(447,plain,
% 5.10/3.57 (~((~((~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)))))))))),
% 5.17/3.57 inference(unit_resolution,[status(thm)],[446, 192])).
% 5.17/3.57 tff(448,plain,
% 5.17/3.57 (((~((~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)))))))),
% 5.17/3.57 inference(tautology,[status(thm)],[])).
% 5.17/3.57 tff(449,plain,
% 5.17/3.57 ((~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))))))),
% 5.17/3.58 inference(unit_resolution,[status(thm)],[448, 447])).
% 5.17/3.58 tff(450,plain,
% 5.17/3.58 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_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(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(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))))))))))) | (~((~(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(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(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)))))))))))),
% 5.17/3.58 inference(rewrite,[status(thm)],[])).
% 5.17/3.58 tff(451,plain,
% 5.17/3.58 ((~((~(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)) | (~((~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(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(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))))))))))),
% 5.17/3.58 inference(rewrite,[status(thm)],[])).
% 5.17/3.58 tff(452,plain,
% 5.17/3.58 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_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))))))))))) <=> ((~![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(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(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)))))))))))),
% 5.17/3.59 inference(monotonicity,[status(thm)],[451])).
% 5.17/3.59 tff(453,plain,
% 5.17/3.59 (((~![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))))))))))) <=> ((~![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(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(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)))))))))))),
% 5.17/3.59 inference(transitivity,[status(thm)],[452, 450])).
% 5.17/3.59 tff(454,plain,
% 5.17/3.59 ((~![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))))))))))),
% 5.17/3.59 inference(quant_inst,[status(thm)],[])).
% 5.17/3.59 tff(455,plain,
% 5.17/3.59 ((~![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(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(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))))))))))),
% 5.17/3.60 inference(modus_ponens,[status(thm)],[454, 453])).
% 5.17/3.60 tff(456,plain,
% 5.17/3.60 (~((~(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(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(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)))))))))),
% 5.17/3.60 inference(unit_resolution,[status(thm)],[455, 192])).
% 5.17/3.60 tff(457,plain,
% 5.17/3.60 (((~(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(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(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_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(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(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)))))))),
% 5.17/3.60 inference(tautology,[status(thm)],[])).
% 5.17/3.60 tff(458,plain,
% 5.17/3.60 ((~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(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(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))))))),
% 5.17/3.60 inference(unit_resolution,[status(thm)],[457, 456])).
% 5.17/3.60 tff(459,plain,
% 5.17/3.60 (((~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)),
% 5.17/3.60 inference(tautology,[status(thm)],[])).
% 5.17/3.60 tff(460,plain,
% 5.17/3.60 (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)),
% 5.17/3.60 inference(unit_resolution,[status(thm)],[459, 391])).
% 5.17/3.60 tff(461,plain,
% 5.17/3.60 ((~((~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(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(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_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(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(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))))))),
% 5.17/3.61 inference(tautology,[status(thm)],[])).
% 5.17/3.61 tff(462,plain,
% 5.17/3.61 ((~((~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(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(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))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_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_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(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))))))),
% 5.17/3.61 inference(unit_resolution,[status(thm)],[461, 460])).
% 5.17/3.61 tff(463,plain,
% 5.17/3.61 (~((~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(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(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)))))),
% 5.17/3.61 inference(unit_resolution,[status(thm)],[462, 458])).
% 5.17/3.61 tff(464,plain,
% 5.17/3.61 (((~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(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(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))))) | ![X18: $i] : ((~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(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)))),
% 5.17/3.61 inference(tautology,[status(thm)],[])).
% 5.17/3.61 tff(465,plain,
% 5.17/3.61 (![X18: $i] : ((~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(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)))),
% 5.17/3.61 inference(unit_resolution,[status(thm)],[464, 463])).
% 5.17/3.61 tff(466,plain,
% 5.17/3.61 (((~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(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(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))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp0)),
% 5.17/3.61 inference(tautology,[status(thm)],[])).
% 5.17/3.61 tff(467,plain,
% 5.17/3.61 (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)),
% 5.17/3.61 inference(unit_resolution,[status(thm)],[466, 463])).
% 5.17/3.61 tff(468,plain,
% 5.17/3.61 (((~![X18: $i] : ((~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(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))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_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_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(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))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_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)))),
% 5.17/3.61 inference(rewrite,[status(thm)],[])).
% 5.17/3.61 tff(469,plain,
% 5.17/3.61 ((~![X18: $i] : ((~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(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))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_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)))),
% 5.17/3.61 inference(quant_inst,[status(thm)],[])).
% 5.17/3.61 tff(470,plain,
% 5.17/3.61 ((~![X18: $i] : ((~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(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))), tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_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))),
% 5.17/3.61 inference(modus_ponens,[status(thm)],[469, 468])).
% 5.17/3.61 tff(471,plain,
% 5.17/3.61 (~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)),
% 5.17/3.61 inference(unit_resolution,[status(thm)],[470, 467, 465])).
% 5.17/3.61 tff(472,plain,
% 5.17/3.61 (((~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)),
% 5.17/3.61 inference(tautology,[status(thm)],[])).
% 5.17/3.61 tff(473,plain,
% 5.17/3.61 ((~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))))),
% 5.17/3.62 inference(unit_resolution,[status(thm)],[472, 471])).
% 5.17/3.62 tff(474,plain,
% 5.17/3.62 ((~((~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))))))),
% 5.17/3.62 inference(tautology,[status(thm)],[])).
% 5.17/3.62 tff(475,plain,
% 5.17/3.62 ((~((~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))),
% 5.17/3.62 inference(unit_resolution,[status(thm)],[474, 473])).
% 5.17/3.62 tff(476,plain,
% 5.17/3.62 (~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)),
% 5.17/3.62 inference(unit_resolution,[status(thm)],[475, 449])).
% 5.17/3.62 tff(477,plain,
% 5.17/3.62 (~next_subocc(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X99_14(X101!17, X100!18), tptp0)),
% 5.17/3.62 inference(modus_ponens,[status(thm)],[476, 440])).
% 5.17/3.62 tff(478,plain,
% 5.17/3.62 ($false),
% 5.17/3.62 inference(unit_resolution,[status(thm)],[198, 477])).
% 5.17/3.62 tff(479,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))))) | (~(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,[]))).
% 5.17/3.62 tff(480,plain,
% 5.17/3.62 (~(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))))),
% 5.17/3.62 inference(unit_resolution,[status(thm)],[479, 419])).
% 5.17/3.62 tff(481,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)).
% 5.17/3.62 tff(482,plain,
% 5.17/3.62 (((~![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))))))),
% 5.17/3.62 inference(rewrite,[status(thm)],[])).
% 5.17/3.62 tff(483,plain,
% 5.17/3.62 ((~![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))))))),
% 5.17/3.62 inference(quant_inst,[status(thm)],[])).
% 5.17/3.62 tff(484,plain,
% 5.17/3.62 ((~![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)))))),
% 5.17/3.62 inference(modus_ponens,[status(thm)],[483, 482])).
% 5.17/3.62 tff(485,plain,
% 5.17/3.62 (~((~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))))),
% 5.17/3.62 inference(unit_resolution,[status(thm)],[484, 234, 203])).
% 5.17/3.62 tff(486,plain,
% 5.17/3.62 (((~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)),
% 5.17/3.62 inference(tautology,[status(thm)],[])).
% 5.17/3.62 tff(487,plain,
% 5.17/3.62 (occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)),
% 5.17/3.62 inference(unit_resolution,[status(thm)],[486, 485])).
% 5.17/3.62 tff(488,plain,
% 5.17/3.62 (((~![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)))))),
% 5.17/3.62 inference(rewrite,[status(thm)],[])).
% 5.17/3.62 tff(489,plain,
% 5.17/3.62 (((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)))))),
% 5.17/3.62 inference(rewrite,[status(thm)],[])).
% 5.17/3.62 tff(490,plain,
% 5.17/3.62 (((~![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))))))),
% 5.17/3.62 inference(monotonicity,[status(thm)],[489])).
% 5.17/3.62 tff(491,plain,
% 5.17/3.62 (((~![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)))))),
% 5.17/3.62 inference(transitivity,[status(thm)],[490, 488])).
% 5.17/3.62 tff(492,plain,
% 5.17/3.62 ((~![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))))),
% 5.17/3.63 inference(quant_inst,[status(thm)],[])).
% 5.17/3.63 tff(493,plain,
% 5.17/3.63 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X98_15(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf_occ(tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (tptp_fun_X98_15(X101!17, X100!18) = tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18))))),
% 5.17/3.63 inference(modus_ponens,[status(thm)],[492, 491])).
% 5.17/3.63 tff(494,plain,
% 5.17/3.63 ($false),
% 5.17/3.63 inference(unit_resolution,[status(thm)],[493, 410, 397, 487, 481, 480, 435])).
% 5.17/3.63 tff(495,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,[]))).
% 5.17/3.63 tff(496,plain,
% 5.17/3.63 (~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))),
% 5.17/3.63 inference(unit_resolution,[status(thm)],[495, 435])).
% 5.17/3.63 tff(497,plain,
% 5.17/3.63 (((~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))),
% 5.17/3.63 inference(tautology,[status(thm)],[])).
% 5.17/3.63 tff(498,plain,
% 5.17/3.63 (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))),
% 5.17/3.63 inference(unit_resolution,[status(thm)],[497, 485])).
% 5.17/3.63 tff(499,plain,
% 5.17/3.63 (^[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))))))),
% 5.17/3.63 inference(bind,[status(th)],[])).
% 5.17/3.63 tff(500,plain,
% 5.17/3.63 (![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)))))),
% 5.17/3.63 inference(quant_intro,[status(thm)],[499])).
% 5.17/3.63 tff(501,plain,
% 5.17/3.63 (^[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))))))),
% 5.17/3.63 inference(bind,[status(th)],[])).
% 5.17/3.63 tff(502,plain,
% 5.17/3.63 (![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)))))),
% 5.17/3.63 inference(quant_intro,[status(thm)],[501])).
% 5.17/3.63 tff(503,plain,
% 5.17/3.63 (![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)))),
% 5.17/3.63 inference(rewrite,[status(thm)],[])).
% 5.17/3.63 tff(504,plain,
% 5.17/3.63 (^[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))))),
% 5.17/3.63 inference(bind,[status(th)],[])).
% 5.17/3.63 tff(505,plain,
% 5.17/3.63 (![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)))),
% 5.17/3.63 inference(quant_intro,[status(thm)],[504])).
% 5.17/3.63 tff(506,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')).
% 5.17/3.63 tff(507,plain,
% 5.17/3.63 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 5.17/3.63 inference(modus_ponens,[status(thm)],[506, 505])).
% 5.17/3.63 tff(508,plain,
% 5.17/3.63 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 5.17/3.63 inference(modus_ponens,[status(thm)],[507, 503])).
% 5.17/3.63 tff(509,plain,(
% 5.17/3.63 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 5.17/3.63 inference(skolemize,[status(sab)],[508])).
% 5.17/3.63 tff(510,plain,
% 5.17/3.63 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 5.17/3.63 inference(modus_ponens,[status(thm)],[509, 502])).
% 5.17/3.63 tff(511,plain,
% 5.17/3.63 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 5.17/3.63 inference(modus_ponens,[status(thm)],[510, 500])).
% 5.17/3.63 tff(512,plain,
% 5.17/3.63 (((~![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))))))),
% 5.17/3.63 inference(rewrite,[status(thm)],[])).
% 5.17/3.63 tff(513,plain,
% 5.17/3.63 ((~![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))))))),
% 5.17/3.63 inference(quant_inst,[status(thm)],[])).
% 5.17/3.63 tff(514,plain,
% 5.17/3.63 ((~![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)))))),
% 5.17/3.63 inference(modus_ponens,[status(thm)],[513, 512])).
% 5.17/3.63 tff(515,plain,
% 5.17/3.63 (~((~arboreal(tptp_fun_X98_15(X101!17, X100!18))) | (~arboreal(tptp_fun_X99_14(X101!17, X100!18))))),
% 5.17/3.63 inference(unit_resolution,[status(thm)],[514, 511, 198])).
% 5.17/3.63 tff(516,plain,
% 5.17/3.63 (((~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))),
% 5.17/3.63 inference(tautology,[status(thm)],[])).
% 5.17/3.63 tff(517,plain,
% 5.17/3.63 (arboreal(tptp_fun_X98_15(X101!17, X100!18))),
% 5.17/3.63 inference(unit_resolution,[status(thm)],[516, 515])).
% 5.17/3.63 tff(518,plain,
% 5.17/3.63 (((~![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)))))) | ((~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))))))),
% 5.17/3.63 inference(rewrite,[status(thm)],[])).
% 5.17/3.63 tff(519,plain,
% 5.17/3.63 ((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))))))),
% 5.17/3.63 inference(rewrite,[status(thm)],[])).
% 5.17/3.63 tff(520,plain,
% 5.17/3.63 ((~((~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)))))),
% 5.17/3.63 inference(rewrite,[status(thm)],[])).
% 5.17/3.63 tff(521,plain,
% 5.17/3.63 ((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))))))),
% 5.17/3.64 inference(monotonicity,[status(thm)],[520])).
% 5.17/3.64 tff(522,plain,
% 5.17/3.64 ((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))))))),
% 5.17/3.64 inference(transitivity,[status(thm)],[521, 519])).
% 5.17/3.64 tff(523,plain,
% 5.17/3.64 (((~![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)))))))),
% 5.17/3.64 inference(monotonicity,[status(thm)],[522])).
% 5.17/3.64 tff(524,plain,
% 5.17/3.64 (((~![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))))))),
% 5.17/3.64 inference(transitivity,[status(thm)],[523, 518])).
% 5.17/3.64 tff(525,plain,
% 5.17/3.64 ((~![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))))))),
% 5.17/3.64 inference(quant_inst,[status(thm)],[])).
% 5.17/3.64 tff(526,plain,
% 5.17/3.64 ((~![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)))))),
% 5.17/3.64 inference(modus_ponens,[status(thm)],[525, 524])).
% 5.17/3.64 tff(527,plain,
% 5.17/3.64 (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)))))),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[526, 55, 517, 487, 498])).
% 5.17/3.65 tff(528,plain,
% 5.17/3.65 (~((~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))))),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[527, 496])).
% 5.17/3.65 tff(529,plain,
% 5.17/3.65 (((~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)),
% 5.17/3.65 inference(tautology,[status(thm)],[])).
% 5.17/3.65 tff(530,plain,
% 5.17/3.65 (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)),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[529, 528])).
% 5.17/3.65 tff(531,plain,
% 5.17/3.65 ((~((~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)) | (~![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))))))),
% 5.17/3.65 inference(tautology,[status(thm)],[])).
% 5.17/3.65 tff(532,plain,
% 5.17/3.65 ((~((~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)) | (~![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))))))),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[531, 530])).
% 5.17/3.65 tff(533,plain,
% 5.17/3.65 (~((~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)))))),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[532, 434])).
% 5.17/3.65 tff(534,plain,
% 5.17/3.65 (((~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)),
% 5.17/3.65 inference(tautology,[status(thm)],[])).
% 5.17/3.65 tff(535,plain,
% 5.17/3.65 (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)),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[534, 533])).
% 5.17/3.65 tff(536,plain,
% 5.17/3.65 (((~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)))),
% 5.17/3.65 inference(tautology,[status(thm)],[])).
% 5.17/3.65 tff(537,plain,
% 5.17/3.65 (![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)))),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[536, 201])).
% 5.17/3.65 tff(538,plain,
% 5.17/3.65 (((~![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)))),
% 5.17/3.65 inference(rewrite,[status(thm)],[])).
% 5.17/3.65 tff(539,plain,
% 5.17/3.65 (((~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_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)))),
% 5.17/3.65 inference(rewrite,[status(thm)],[])).
% 5.17/3.65 tff(540,plain,
% 5.17/3.65 (((~![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))))),
% 5.17/3.65 inference(monotonicity,[status(thm)],[539])).
% 5.17/3.65 tff(541,plain,
% 5.17/3.65 (((~![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)))),
% 5.17/3.65 inference(transitivity,[status(thm)],[540, 538])).
% 5.17/3.65 tff(542,plain,
% 5.17/3.65 ((~![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)))),
% 5.17/3.65 inference(quant_inst,[status(thm)],[])).
% 5.17/3.65 tff(543,plain,
% 5.17/3.65 ((~![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))),
% 5.17/3.65 inference(modus_ponens,[status(thm)],[542, 541])).
% 5.17/3.65 tff(544,plain,
% 5.17/3.65 (~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)),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[543, 537, 535])).
% 5.17/3.65 tff(545,plain,
% 5.17/3.65 (~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)),
% 5.17/3.65 inference(modus_ponens,[status(thm)],[544, 425])).
% 5.17/3.65 tff(546,plain,
% 5.17/3.65 (((~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))),
% 5.17/3.65 inference(tautology,[status(thm)],[])).
% 5.17/3.65 tff(547,plain,
% 5.17/3.65 (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))),
% 5.17/3.65 inference(unit_resolution,[status(thm)],[546, 528])).
% 5.17/3.65 tff(548,plain,
% 5.17/3.65 (((~![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_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)))))),
% 5.17/3.65 inference(rewrite,[status(thm)],[])).
% 5.17/3.65 tff(549,plain,
% 5.17/3.65 (((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)))))),
% 5.17/3.66 inference(rewrite,[status(thm)],[])).
% 5.17/3.66 tff(550,plain,
% 5.17/3.66 (((~![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))))))),
% 5.17/3.66 inference(monotonicity,[status(thm)],[549])).
% 5.17/3.66 tff(551,plain,
% 5.17/3.66 (((~![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)))))),
% 5.17/3.66 inference(transitivity,[status(thm)],[550, 548])).
% 5.17/3.66 tff(552,plain,
% 5.17/3.66 ((~![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))))),
% 5.17/3.66 inference(quant_inst,[status(thm)],[])).
% 5.17/3.66 tff(553,plain,
% 5.17/3.66 ((~![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))))),
% 5.17/3.66 inference(modus_ponens,[status(thm)],[552, 551])).
% 5.17/3.66 tff(554,plain,
% 5.17/3.66 (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)))),
% 5.17/3.66 inference(unit_resolution,[status(thm)],[553, 410, 397, 487, 547, 435])).
% 5.17/3.66 tff(555,plain,
% 5.17/3.66 (tptp_fun_X99_14(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X99_14(X101!17, X100!18)), tptp_fun_X99_14(X101!17, X100!18)), tptp0), tptp_fun_X44_3(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))),
% 5.17/3.66 inference(symmetry,[status(thm)],[554])).
% 5.17/3.66 tff(556,plain,
% 5.17/3.66 (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)),
% 5.17/3.66 inference(monotonicity,[status(thm)],[555])).
% 5.17/3.66 tff(557,plain,
% 5.17/3.66 (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)),
% 5.17/3.66 inference(symmetry,[status(thm)],[556])).
% 5.17/3.66 tff(558,plain,
% 5.17/3.66 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X98_15(tptp_fun_X73_8(tptp_fun_X99_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(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(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)))))))))))),
% 5.17/3.66 inference(rewrite,[status(thm)],[])).
% 5.17/3.66 tff(559,plain,
% 5.17/3.66 ((~((~(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(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))))))))))),
% 5.17/3.67 inference(rewrite,[status(thm)],[])).
% 5.17/3.67 tff(560,plain,
% 5.17/3.67 (((~![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_X98_15(tptp_fun_X73_8(tptp_fun_X99_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(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)))))))))))),
% 5.26/3.67 inference(monotonicity,[status(thm)],[559])).
% 5.26/3.67 tff(561,plain,
% 5.26/3.67 (((~![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_X98_15(tptp_fun_X73_8(tptp_fun_X99_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(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)))))))))))),
% 5.26/3.67 inference(transitivity,[status(thm)],[560, 558])).
% 5.26/3.67 tff(562,plain,
% 5.26/3.67 ((~![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_X98_15(tptp_fun_X73_8(tptp_fun_X99_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))))))))))),
% 5.26/3.67 inference(quant_inst,[status(thm)],[])).
% 5.26/3.67 tff(563,plain,
% 5.26/3.67 ((~![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_X98_15(tptp_fun_X73_8(tptp_fun_X99_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(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))))))))))),
% 5.26/3.67 inference(modus_ponens,[status(thm)],[562, 561])).
% 5.26/3.67 tff(564,plain,
% 5.26/3.67 (~((~(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(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)))))))))),
% 5.26/3.67 inference(unit_resolution,[status(thm)],[563, 192])).
% 5.26/3.67 tff(565,plain,
% 5.26/3.67 (((~(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(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_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)))))))),
% 5.26/3.68 inference(tautology,[status(thm)],[])).
% 5.26/3.68 tff(566,plain,
% 5.26/3.68 ((~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))))))),
% 5.26/3.68 inference(unit_resolution,[status(thm)],[565, 564])).
% 5.26/3.68 tff(567,plain,
% 5.26/3.68 (((~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)),
% 5.26/3.68 inference(tautology,[status(thm)],[])).
% 5.26/3.68 tff(568,plain,
% 5.26/3.68 (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)),
% 5.26/3.68 inference(unit_resolution,[status(thm)],[567, 528])).
% 5.26/3.68 tff(569,plain,
% 5.26/3.68 ((~((~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_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))))))),
% 5.26/3.68 inference(tautology,[status(thm)],[])).
% 5.26/3.68 tff(570,plain,
% 5.26/3.68 ((~((~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)))))))) | (~((~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))))))),
% 5.26/3.68 inference(unit_resolution,[status(thm)],[569, 568])).
% 5.26/3.68 tff(571,plain,
% 5.26/3.68 (~((~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)))))),
% 5.26/3.68 inference(unit_resolution,[status(thm)],[570, 566])).
% 5.26/3.68 tff(572,plain,
% 5.26/3.68 (((~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))))) | 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)),
% 5.26/3.68 inference(tautology,[status(thm)],[])).
% 5.26/3.68 tff(573,plain,
% 5.26/3.68 (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)),
% 5.26/3.68 inference(unit_resolution,[status(thm)],[572, 571])).
% 5.26/3.68 tff(574,plain,
% 5.26/3.68 (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)),
% 5.26/3.68 inference(modus_ponens,[status(thm)],[573, 557])).
% 5.26/3.68 tff(575,plain,
% 5.26/3.68 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_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_X97_16(tptp_fun_X73_8(tptp_fun_X99_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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 5.26/3.68 inference(rewrite,[status(thm)],[])).
% 5.26/3.68 tff(576,plain,
% 5.26/3.68 ((~((~(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)) | (~((~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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))))))),
% 5.26/3.68 inference(rewrite,[status(thm)],[])).
% 5.26/3.68 tff(577,plain,
% 5.26/3.68 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(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))))))))))) <=> ((~![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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 5.26/3.69 inference(monotonicity,[status(thm)],[576])).
% 5.26/3.69 tff(578,plain,
% 5.26/3.69 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_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))))))))))) <=> ((~![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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))))),
% 5.26/3.69 inference(transitivity,[status(thm)],[577, 575])).
% 5.26/3.69 tff(579,plain,
% 5.26/3.69 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_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))))))))))),
% 5.26/3.69 inference(quant_inst,[status(thm)],[])).
% 5.26/3.69 tff(580,plain,
% 5.26/3.69 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_16(tptp_fun_X73_8(tptp_fun_X99_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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))))))),
% 5.26/3.69 inference(modus_ponens,[status(thm)],[579, 578])).
% 5.26/3.69 tff(581,plain,
% 5.26/3.69 (~((~(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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))))),
% 5.29/3.70 inference(unit_resolution,[status(thm)],[580, 192])).
% 5.29/3.70 tff(582,plain,
% 5.29/3.70 (((~(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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))))),
% 5.29/3.70 inference(tautology,[status(thm)],[])).
% 5.29/3.70 tff(583,plain,
% 5.29/3.70 ((~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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 5.29/3.70 inference(unit_resolution,[status(thm)],[582, 581])).
% 5.29/3.70 tff(584,plain,
% 5.29/3.70 (((~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)),
% 5.29/3.70 inference(tautology,[status(thm)],[])).
% 5.29/3.70 tff(585,plain,
% 5.29/3.70 (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)),
% 5.29/3.70 inference(unit_resolution,[status(thm)],[584, 528])).
% 5.29/3.70 tff(586,plain,
% 5.29/3.70 ((~((~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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 5.29/3.70 inference(tautology,[status(thm)],[])).
% 5.29/3.70 tff(587,plain,
% 5.29/3.70 ((~((~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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0))))))),
% 5.29/3.70 inference(unit_resolution,[status(thm)],[586, 585])).
% 5.29/3.70 tff(588,plain,
% 5.29/3.70 (~((~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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp_fun_X98_15(X101!17, X100!18)), tptp0)))))),
% 5.29/3.70 inference(unit_resolution,[status(thm)],[587, 583])).
% 5.29/3.70 tff(589,plain,
% 5.29/3.70 (((~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(tptp_fun_X97_16(tptp_fun_X73_8(tptp_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_X98_15(tptp_fun_X73_8(tptp_fun_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)),
% 5.29/3.70 inference(tautology,[status(thm)],[])).
% 5.29/3.70 tff(590,plain,
% 5.29/3.70 (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)),
% 5.29/3.70 inference(unit_resolution,[status(thm)],[589, 588])).
% 5.29/3.70 tff(591,plain,
% 5.29/3.70 (^[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))))),
% 5.29/3.70 inference(bind,[status(th)],[])).
% 5.29/3.70 tff(592,plain,
% 5.29/3.70 (![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)))),
% 5.29/3.70 inference(quant_intro,[status(thm)],[591])).
% 5.29/3.70 tff(593,plain,
% 5.29/3.70 (^[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)))))),
% 5.29/3.70 inference(bind,[status(th)],[])).
% 5.29/3.70 tff(594,plain,
% 5.29/3.70 (![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)))),
% 5.29/3.70 inference(quant_intro,[status(thm)],[593])).
% 5.29/3.70 tff(595,plain,
% 5.29/3.70 (![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))),
% 5.29/3.70 inference(rewrite,[status(thm)],[])).
% 5.29/3.70 tff(596,plain,
% 5.29/3.70 (^[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)))),
% 5.29/3.70 inference(bind,[status(th)],[])).
% 5.29/3.70 tff(597,plain,
% 5.29/3.70 (![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))),
% 5.29/3.70 inference(quant_intro,[status(thm)],[596])).
% 5.29/3.70 tff(598,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')).
% 5.29/3.70 tff(599,plain,
% 5.29/3.70 (![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3))),
% 5.29/3.70 inference(modus_ponens,[status(thm)],[598, 597])).
% 5.29/3.70 tff(600,plain,
% 5.29/3.70 (![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3))),
% 5.29/3.70 inference(modus_ponens,[status(thm)],[599, 595])).
% 5.29/3.70 tff(601,plain,(
% 5.29/3.70 ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~(min_precedes(X0, X1, X3) & min_precedes(X1, X2, X3))) | min_precedes(X0, X2, X3))),
% 5.29/3.70 inference(skolemize,[status(sab)],[600])).
% 5.29/3.70 tff(602,plain,
% 5.29/3.70 (![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))),
% 5.29/3.70 inference(modus_ponens,[status(thm)],[601, 594])).
% 5.29/3.70 tff(603,plain,
% 5.29/3.70 (![X0: $i, X1: $i, X2: $i, X3: $i] : (min_precedes(X0, X2, X3) | (~min_precedes(X1, X2, X3)) | (~min_precedes(X0, X1, X3)))),
% 5.29/3.70 inference(modus_ponens,[status(thm)],[602, 592])).
% 5.29/3.70 tff(604,plain,
% 5.29/3.70 (((~![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))),
% 5.29/3.70 inference(rewrite,[status(thm)],[])).
% 5.29/3.70 tff(605,plain,
% 5.29/3.70 ((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))),
% 5.29/3.70 inference(rewrite,[status(thm)],[])).
% 5.29/3.70 tff(606,plain,
% 5.29/3.70 (((~![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)))),
% 5.29/3.70 inference(monotonicity,[status(thm)],[605])).
% 5.29/3.70 tff(607,plain,
% 5.29/3.70 (((~![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))),
% 5.29/3.71 inference(transitivity,[status(thm)],[606, 604])).
% 5.29/3.71 tff(608,plain,
% 5.29/3.71 ((~![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)))),
% 5.29/3.71 inference(quant_inst,[status(thm)],[])).
% 5.29/3.71 tff(609,plain,
% 5.29/3.71 ((~![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)),
% 5.29/3.71 inference(modus_ponens,[status(thm)],[608, 607])).
% 5.29/3.71 tff(610,plain,
% 5.29/3.71 (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)),
% 5.29/3.71 inference(unit_resolution,[status(thm)],[609, 603, 590, 574])).
% 5.29/3.71 tff(611,plain,
% 5.29/3.71 ($false),
% 5.29/3.71 inference(unit_resolution,[status(thm)],[610, 545])).
% 5.29/3.71 tff(612,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,[]))).
% 5.29/3.71 tff(613,plain,
% 5.29/3.71 (~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))),
% 5.29/3.71 inference(modus_ponens,[status(thm)],[612, 422])).
% 5.29/3.71 tff(614,plain,
% 5.29/3.71 (((~![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] : ((~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))) | (~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] : ((~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))))))))),
% 5.29/3.71 inference(rewrite,[status(thm)],[])).
% 5.29/3.71 tff(615,plain,
% 5.29/3.71 ((~((~((~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))) | (~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] : ((~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)))))))),
% 5.29/3.71 inference(rewrite,[status(thm)],[])).
% 5.29/3.71 tff(616,plain,
% 5.29/3.71 (((~![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))) | (~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] : ((~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))))))))),
% 5.29/3.71 inference(monotonicity,[status(thm)],[615])).
% 5.29/3.71 tff(617,plain,
% 5.29/3.71 (((~![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))) | (~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] : ((~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))))))))),
% 5.29/3.71 inference(transitivity,[status(thm)],[616, 614])).
% 5.29/3.71 tff(618,plain,
% 5.29/3.71 ((~![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)))))))),
% 5.29/3.71 inference(quant_inst,[status(thm)],[])).
% 5.29/3.71 tff(619,plain,
% 5.29/3.71 ((~![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] : ((~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)))))))),
% 5.29/3.71 inference(modus_ponens,[status(thm)],[618, 617])).
% 5.29/3.71 tff(620,plain,
% 5.29/3.71 (~((~((~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] : ((~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))))))),
% 5.29/3.71 inference(unit_resolution,[status(thm)],[619, 17])).
% 5.29/3.71 tff(621,plain,
% 5.29/3.71 (((~((~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] : ((~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))))),
% 5.29/3.71 inference(tautology,[status(thm)],[])).
% 5.29/3.71 tff(622,plain,
% 5.29/3.71 (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)))),
% 5.29/3.71 inference(unit_resolution,[status(thm)],[621, 620])).
% 5.29/3.71 tff(623,plain,
% 5.29/3.71 ((~(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)))),
% 5.29/3.71 inference(tautology,[status(thm)],[])).
% 5.29/3.71 tff(624,plain,
% 5.29/3.71 (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)))),
% 5.29/3.72 inference(unit_resolution,[status(thm)],[623, 622])).
% 5.29/3.72 tff(625,plain,
% 5.29/3.72 (![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)))),
% 5.29/3.72 inference(unit_resolution,[status(thm)],[624, 613])).
% 5.29/3.72 tff(626,plain,
% 5.29/3.72 (((~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))),
% 5.29/3.72 inference(tautology,[status(thm)],[])).
% 5.29/3.72 tff(627,plain,
% 5.29/3.72 (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))),
% 5.29/3.72 inference(unit_resolution,[status(thm)],[626, 485])).
% 5.29/3.72 tff(628,plain,
% 5.29/3.72 (((~![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)))),
% 5.29/3.72 inference(rewrite,[status(thm)],[])).
% 5.29/3.72 tff(629,plain,
% 5.29/3.72 (((~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)))),
% 5.29/3.72 inference(rewrite,[status(thm)],[])).
% 5.29/3.72 tff(630,plain,
% 5.29/3.72 (((~![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))))),
% 5.29/3.72 inference(monotonicity,[status(thm)],[629])).
% 5.29/3.72 tff(631,plain,
% 5.29/3.72 (((~![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)))),
% 5.29/3.72 inference(transitivity,[status(thm)],[630, 628])).
% 5.29/3.72 tff(632,plain,
% 5.29/3.72 ((~![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)))),
% 5.29/3.72 inference(quant_inst,[status(thm)],[])).
% 5.29/3.72 tff(633,plain,
% 5.29/3.72 ((~![X37: $i] : ((~leaf(tptp_fun_X99_14(X101!17, X100!18), X37)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X73_8(tptp_fun_X99_14(X101!17, X100!18), tptp_fun_X98_15(X101!17, X100!18), tptp0))) | (~leaf(tptp_fun_X99_14(X101!17, X100!18), tptp0))),
% 5.29/3.72 inference(modus_ponens,[status(thm)],[632, 631])).
% 5.29/3.72 tff(634,plain,
% 5.29/3.72 ($false),
% 5.29/3.72 inference(unit_resolution,[status(thm)],[633, 487, 627, 246, 625])).
% 5.32/3.73 % SZS output end Proof
%------------------------------------------------------------------------------