%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PRO016+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n015.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 5.53s 3.80s
% Output   : Proof 5.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PRO016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Sep  2 18:21:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 5.53/3.80  % SZS status Theorem
% 5.53/3.80  % SZS output start Proof
% 5.53/3.80  tff(occurrence_of_type, type, (
% 5.53/3.80     occurrence_of: ( $i * $i ) > $o)).
% 5.53/3.80  tff(tptp_fun_X24_2_type, type, (
% 5.53/3.80     tptp_fun_X24_2: ( $i * $i * $i ) > $i)).
% 5.53/3.80  tff(tptp0_type, type, (
% 5.53/3.80     tptp0: $i)).
% 5.53/3.80  tff(tptp_fun_X104_13_type, type, (
% 5.53/3.80     tptp_fun_X104_13: ( $i * $i ) > $i)).
% 5.53/3.80  tff(tptp_fun_X106_16_type, type, (
% 5.53/3.80     tptp_fun_X106_16: $i)).
% 5.53/3.80  tff(tptp_fun_X107_15_type, type, (
% 5.53/3.80     tptp_fun_X107_15: $i)).
% 5.53/3.80  tff(tptp_fun_X105_12_type, type, (
% 5.53/3.80     tptp_fun_X105_12: ( $i * $i ) > $i)).
% 5.53/3.80  tff(subactivity_occurrence_type, type, (
% 5.53/3.80     subactivity_occurrence: ( $i * $i ) > $o)).
% 5.53/3.80  tff(leaf_type, type, (
% 5.53/3.80     leaf: ( $i * $i ) > $o)).
% 5.53/3.80  tff(leaf_occ_type, type, (
% 5.53/3.80     leaf_occ: ( $i * $i ) > $o)).
% 5.53/3.80  tff(tptp_fun_X2_0_type, type, (
% 5.53/3.80     tptp_fun_X2_0: ( $i * $i ) > $i)).
% 5.53/3.80  tff(tptp_fun_X42_4_type, type, (
% 5.53/3.80     tptp_fun_X42_4: $i > $i)).
% 5.53/3.80  tff(tptp_fun_X27_3_type, type, (
% 5.53/3.80     tptp_fun_X27_3: ( $i * $i ) > $i)).
% 5.53/3.80  tff(tptp_fun_X57_8_type, type, (
% 5.53/3.80     tptp_fun_X57_8: ( $i * $i ) > $i)).
% 5.53/3.80  tff(next_subocc_type, type, (
% 5.53/3.80     next_subocc: ( $i * $i * $i ) > $o)).
% 5.53/3.80  tff(tptp2_type, type, (
% 5.53/3.80     tptp2: $i)).
% 5.53/3.80  tff(tptp1_type, type, (
% 5.53/3.80     tptp1: $i)).
% 5.53/3.80  tff(tptp_fun_X103_14_type, type, (
% 5.53/3.80     tptp_fun_X103_14: ( $i * $i ) > $i)).
% 5.53/3.80  tff(tptp4_type, type, (
% 5.53/3.80     tptp4: $i)).
% 5.53/3.80  tff(tptp3_type, type, (
% 5.53/3.80     tptp3: $i)).
% 5.53/3.80  tff(root_type, type, (
% 5.53/3.80     root: ( $i * $i ) > $o)).
% 5.53/3.80  tff(activity_type, type, (
% 5.53/3.80     activity: $i > $o)).
% 5.53/3.80  tff(activity_occurrence_type, type, (
% 5.53/3.80     activity_occurrence: $i > $o)).
% 5.53/3.80  tff(min_precedes_type, type, (
% 5.53/3.80     min_precedes: ( $i * $i * $i ) > $o)).
% 5.53/3.80  tff(tptp_fun_X111_18_type, type, (
% 5.53/3.80     tptp_fun_X111_18: $i > $i)).
% 5.53/3.80  tff(tptp_fun_X110_17_type, type, (
% 5.53/3.80     tptp_fun_X110_17: $i > $i)).
% 5.53/3.80  tff(arboreal_type, type, (
% 5.53/3.80     arboreal: $i > $o)).
% 5.53/3.80  tff(tptp_fun_X81_11_type, type, (
% 5.53/3.80     tptp_fun_X81_11: ( $i * $i * $i ) > $i)).
% 5.53/3.80  tff(atomic_type, type, (
% 5.53/3.80     atomic: $i > $o)).
% 5.53/3.80  tff(legal_type, type, (
% 5.53/3.80     legal: $i > $o)).
% 5.53/3.80  tff(earlier_type, type, (
% 5.53/3.80     earlier: ( $i * $i ) > $o)).
% 5.53/3.80  tff(precedes_type, type, (
% 5.53/3.80     precedes: ( $i * $i ) > $o)).
% 5.53/3.80  tff(1,plain,
% 5.53/3.80      (((occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15))) & ![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))) <=> (occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15)) & ![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))))),
% 5.53/3.80      inference(rewrite,[status(thm)],[])).
% 5.53/3.80  tff(2,plain,
% 5.53/3.80      (^[X108: $i, X109: $i] : trans(monotonicity(trans(monotonicity(rewrite((~(~occurrence_of(X109, tptp1))) <=> occurrence_of(X109, tptp1)), (((~(~occurrence_of(X109, tptp1))) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))) <=> (occurrence_of(X109, tptp1) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))))), rewrite((occurrence_of(X109, tptp1) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))) <=> (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))), (((~(~occurrence_of(X109, tptp1))) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))) <=> (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)))), trans(monotonicity(rewrite((~(~occurrence_of(X109, tptp2))) <=> occurrence_of(X109, tptp2)), (((~(~occurrence_of(X109, tptp2))) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))) <=> (occurrence_of(X109, tptp2) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))))), rewrite((occurrence_of(X109, tptp2) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))) <=> (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))), (((~(~occurrence_of(X109, tptp2))) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))) <=> (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))), (((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | ((~(~occurrence_of(X109, tptp1))) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))) | ((~(~occurrence_of(X109, tptp2))) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))) <=> ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))))), rewrite(((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))) <=> ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))), (((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | ((~(~occurrence_of(X109, tptp1))) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))) | ((~(~occurrence_of(X109, tptp2))) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))) <=> ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(3,plain,
% 5.66/3.80      (![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | ((~(~occurrence_of(X109, tptp1))) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))) | ((~(~occurrence_of(X109, tptp2))) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))) <=> ![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[2])).
% 5.66/3.80  tff(4,plain,
% 5.66/3.80      ((~(~(occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15))))) <=> (occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15)))),
% 5.66/3.80      inference(rewrite,[status(thm)],[])).
% 5.66/3.80  tff(5,plain,
% 5.66/3.80      (((~(~(occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15))))) & ![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | ((~(~occurrence_of(X109, tptp1))) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))) | ((~(~occurrence_of(X109, tptp2))) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))))) <=> ((occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15))) & ![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))))),
% 5.66/3.80      inference(monotonicity,[status(thm)],[4, 3])).
% 5.66/3.80  tff(6,plain,
% 5.66/3.80      (((~(~(occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15))))) & ![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | ((~(~occurrence_of(X109, tptp1))) & (occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0))) | ((~(~occurrence_of(X109, tptp2))) & (occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))))) <=> (occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15)) & ![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0))))),
% 5.66/3.80      inference(transitivity,[status(thm)],[5, 1])).
% 5.66/3.80  tff(7,plain,
% 5.66/3.80      ((~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))) <=> (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0)))))))),
% 5.66/3.80      inference(rewrite,[status(thm)],[])).
% 5.66/3.80  tff(8,plain,
% 5.66/3.80      ((~![X106: $i, X107: $i] : ((((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) & (~leaf_occ(X106, X107))) => ?[X108: $i, X109: $i] : ((((((occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0)) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) & min_precedes(X108, X109, tptp0)) & leaf_occ(X109, X107)) & (occurrence_of(X109, tptp1) => (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0))))) & (occurrence_of(X109, tptp2) => (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))) <=> (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0)))))))),
% 5.66/3.80      inference(rewrite,[status(thm)],[])).
% 5.66/3.80  tff(9,axiom,(~![X106: $i, X107: $i] : ((((occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107)) & arboreal(X106)) & (~leaf_occ(X106, X107))) => ?[X108: $i, X109: $i] : ((((((occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0)) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) & min_precedes(X108, X109, tptp0)) & leaf_occ(X109, X107)) & (occurrence_of(X109, tptp1) => (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0))))) & (occurrence_of(X109, tptp2) => (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 5.66/3.80  tff(10,plain,
% 5.66/3.80      (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[9, 8])).
% 5.66/3.80  tff(11,plain,
% 5.66/3.80      (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[10, 7])).
% 5.66/3.80  tff(12,plain,
% 5.66/3.80      (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[11, 7])).
% 5.66/3.80  tff(13,plain,
% 5.66/3.80      (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[12, 7])).
% 5.66/3.80  tff(14,plain,
% 5.66/3.80      (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[13, 7])).
% 5.66/3.80  tff(15,plain,
% 5.66/3.80      (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[14, 7])).
% 5.66/3.80  tff(16,plain,
% 5.66/3.80      (~![X106: $i, X107: $i] : ((~(occurrence_of(X107, tptp0) & subactivity_occurrence(X106, X107) & arboreal(X106) & (~leaf_occ(X106, X107)))) | ?[X108: $i, X109: $i] : (occurrence_of(X108, tptp3) & next_subocc(X106, X108, tptp0) & (occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2)) & min_precedes(X108, X109, tptp0) & leaf_occ(X109, X107) & ((~occurrence_of(X109, tptp1)) | (~?[X110: $i] : (occurrence_of(X110, tptp2) & min_precedes(X108, X110, tptp0)))) & ((~occurrence_of(X109, tptp2)) | (~?[X111: $i] : (occurrence_of(X111, tptp1) & min_precedes(X108, X111, tptp0))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[15, 7])).
% 5.66/3.80  tff(17,plain,
% 5.66/3.80      (occurrence_of(X107!15, tptp0) & subactivity_occurrence(X106!16, X107!15) & arboreal(X106!16) & (~leaf_occ(X106!16, X107!15)) & ![X108: $i, X109: $i] : ((~occurrence_of(X108, tptp3)) | (~next_subocc(X106!16, X108, tptp0)) | (~(occurrence_of(X109, tptp1) | occurrence_of(X109, tptp2))) | (~min_precedes(X108, X109, tptp0)) | (~leaf_occ(X109, X107!15)) | (occurrence_of(X109, tptp1) & occurrence_of(tptp_fun_X110_17(X108), tptp2) & min_precedes(X108, tptp_fun_X110_17(X108), tptp0)) | (occurrence_of(X109, tptp2) & occurrence_of(tptp_fun_X111_18(X108), tptp1) & min_precedes(X108, tptp_fun_X111_18(X108), tptp0)))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[16, 6])).
% 5.66/3.80  tff(18,plain,
% 5.66/3.80      (occurrence_of(X107!15, tptp0)),
% 5.66/3.80      inference(and_elim,[status(thm)],[17])).
% 5.66/3.80  tff(19,plain,
% 5.66/3.80      (^[X12: $i, X13: $i] : refl(((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(20,plain,
% 5.66/3.80      (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[19])).
% 5.66/3.80  tff(21,plain,
% 5.66/3.80      (^[X12: $i, X13: $i] : rewrite(((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(22,plain,
% 5.66/3.80      (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[21])).
% 5.66/3.80  tff(23,plain,
% 5.66/3.80      (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 5.66/3.80      inference(rewrite,[status(thm)],[])).
% 5.66/3.80  tff(24,plain,
% 5.66/3.80      (^[X12: $i, X13: $i] : rewrite((occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(25,plain,
% 5.66/3.80      (![X12: $i, X13: $i] : (occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[24])).
% 5.66/3.80  tff(26,axiom,(![X12: $i, X13: $i] : (occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_03')).
% 5.66/3.80  tff(27,plain,
% 5.66/3.80      (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[26, 25])).
% 5.66/3.80  tff(28,plain,
% 5.66/3.80      (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[27, 23])).
% 5.66/3.80  tff(29,plain,(
% 5.66/3.80      ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 5.66/3.80      inference(skolemize,[status(sab)],[28])).
% 5.66/3.80  tff(30,plain,
% 5.66/3.80      (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[29, 22])).
% 5.66/3.80  tff(31,plain,
% 5.66/3.80      (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[30, 20])).
% 5.66/3.80  tff(32,plain,
% 5.66/3.80      (((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(X107!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X107!15)))))) <=> ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(X107!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X107!15)))))),
% 5.66/3.80      inference(rewrite,[status(thm)],[])).
% 5.66/3.80  tff(33,plain,
% 5.66/3.80      ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(X107!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X107!15)))))),
% 5.66/3.80      inference(quant_inst,[status(thm)],[])).
% 5.66/3.80  tff(34,plain,
% 5.66/3.80      ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(X107!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X107!15))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[33, 32])).
% 5.66/3.80  tff(35,plain,
% 5.66/3.80      (~((~activity(tptp0)) | (~activity_occurrence(X107!15)))),
% 5.66/3.80      inference(unit_resolution,[status(thm)],[34, 31, 18])).
% 5.66/3.80  tff(36,plain,
% 5.66/3.80      (((~activity(tptp0)) | (~activity_occurrence(X107!15))) | activity_occurrence(X107!15)),
% 5.66/3.80      inference(tautology,[status(thm)],[])).
% 5.66/3.80  tff(37,plain,
% 5.66/3.80      (activity_occurrence(X107!15)),
% 5.66/3.80      inference(unit_resolution,[status(thm)],[36, 35])).
% 5.66/3.80  tff(38,plain,
% 5.66/3.80      (^[X41: $i] : refl(((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))) <=> ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(39,plain,
% 5.66/3.80      (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[38])).
% 5.66/3.80  tff(40,plain,
% 5.66/3.80      (^[X41: $i] : rewrite(((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41)))) <=> ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(41,plain,
% 5.66/3.80      (![X41: $i] : ((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41)))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[40])).
% 5.66/3.80  tff(42,plain,
% 5.66/3.80      (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 5.66/3.80      inference(rewrite,[status(thm)],[])).
% 5.66/3.80  tff(43,plain,
% 5.66/3.80      (^[X41: $i] : rewrite((activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(44,plain,
% 5.66/3.80      (![X41: $i] : (activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[43])).
% 5.66/3.80  tff(45,axiom,(![X41: $i] : (activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_12')).
% 5.66/3.80  tff(46,plain,
% 5.66/3.80      (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[45, 44])).
% 5.66/3.80  tff(47,plain,
% 5.66/3.80      (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[46, 42])).
% 5.66/3.80  tff(48,plain,(
% 5.66/3.80      ![X41: $i] : ((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41))))),
% 5.66/3.80      inference(skolemize,[status(sab)],[47])).
% 5.66/3.80  tff(49,plain,
% 5.66/3.80      (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[48, 41])).
% 5.66/3.80  tff(50,plain,
% 5.66/3.80      (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[49, 39])).
% 5.66/3.80  tff(51,plain,
% 5.66/3.80      (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(X107!15)) | (~((~activity(tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(X107!15)) | (~((~activity(tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))))),
% 5.66/3.80      inference(rewrite,[status(thm)],[])).
% 5.66/3.80  tff(52,plain,
% 5.66/3.80      ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(X107!15)) | (~((~activity(tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))))),
% 5.66/3.80      inference(quant_inst,[status(thm)],[])).
% 5.66/3.80  tff(53,plain,
% 5.66/3.80      ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(X107!15)) | (~((~activity(tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15)))))),
% 5.66/3.80      inference(modus_ponens,[status(thm)],[52, 51])).
% 5.66/3.80  tff(54,plain,
% 5.66/3.80      (~((~activity(tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))),
% 5.66/3.80      inference(unit_resolution,[status(thm)],[53, 50, 37])).
% 5.66/3.80  tff(55,plain,
% 5.66/3.80      (((~activity(tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15)))) | occurrence_of(X107!15, tptp_fun_X42_4(X107!15))),
% 5.66/3.80      inference(tautology,[status(thm)],[])).
% 5.66/3.80  tff(56,plain,
% 5.66/3.80      (occurrence_of(X107!15, tptp_fun_X42_4(X107!15))),
% 5.66/3.80      inference(unit_resolution,[status(thm)],[55, 54])).
% 5.66/3.80  tff(57,plain,
% 5.66/3.80      (^[X28: $i, X29: $i, X30: $i] : refl(((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(58,plain,
% 5.66/3.80      (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) <=> ![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[57])).
% 5.66/3.80  tff(59,plain,
% 5.66/3.80      (^[X28: $i, X29: $i, X30: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X28, X29) & occurrence_of(X28, X30)) <=> (~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))), ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) <=> (~(~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))))), rewrite((~(~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))) <=> ((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))), ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) <=> ((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))), (((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> (((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) | (X29 = X30)))), rewrite((((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) | (X29 = X30)) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))), (((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(60,plain,
% 5.66/3.80      (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[59])).
% 5.66/3.80  tff(61,plain,
% 5.66/3.80      (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 5.66/3.80      inference(rewrite,[status(thm)],[])).
% 5.66/3.80  tff(62,plain,
% 5.66/3.80      (^[X28: $i, X29: $i, X30: $i] : rewrite(((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30)) <=> ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)))),
% 5.66/3.80      inference(bind,[status(th)],[])).
% 5.66/3.80  tff(63,plain,
% 5.66/3.80      (![X28: $i, X29: $i, X30: $i] : ((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 5.66/3.80      inference(quant_intro,[status(thm)],[62])).
% 5.66/3.80  tff(64,axiom,(![X28: $i, X29: $i, X30: $i] : ((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_08')).
% 5.66/3.80  tff(65,plain,
% 5.66/3.80      (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[64, 63])).
% 5.66/3.81  tff(66,plain,
% 5.66/3.81      (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[65, 61])).
% 5.66/3.81  tff(67,plain,(
% 5.66/3.81      ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 5.66/3.81      inference(skolemize,[status(sab)],[66])).
% 5.66/3.81  tff(68,plain,
% 5.66/3.81      (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[67, 60])).
% 5.66/3.81  tff(69,plain,
% 5.66/3.81      (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[68, 58])).
% 5.66/3.81  tff(70,plain,
% 5.66/3.81      (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (tptp0 = tptp_fun_X42_4(X107!15)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (tptp0 = tptp_fun_X42_4(X107!15)))),
% 5.66/3.81      inference(rewrite,[status(thm)],[])).
% 5.66/3.81  tff(71,plain,
% 5.66/3.81      (((tptp0 = tptp_fun_X42_4(X107!15)) | (~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15)))) <=> ((~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (tptp0 = tptp_fun_X42_4(X107!15)))),
% 5.66/3.81      inference(rewrite,[status(thm)],[])).
% 5.66/3.81  tff(72,plain,
% 5.66/3.81      (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(X107!15)) | (~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (tptp0 = tptp_fun_X42_4(X107!15))))),
% 5.66/3.81      inference(monotonicity,[status(thm)],[71])).
% 5.66/3.81  tff(73,plain,
% 5.66/3.81      (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(X107!15)) | (~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (tptp0 = tptp_fun_X42_4(X107!15)))),
% 5.66/3.81      inference(transitivity,[status(thm)],[72, 70])).
% 5.66/3.81  tff(74,plain,
% 5.66/3.81      ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(X107!15)) | (~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))),
% 5.66/3.81      inference(quant_inst,[status(thm)],[])).
% 5.66/3.81  tff(75,plain,
% 5.66/3.81      ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X107!15, tptp0)) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (tptp0 = tptp_fun_X42_4(X107!15))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[74, 73])).
% 5.66/3.81  tff(76,plain,
% 5.66/3.81      (tptp0 = tptp_fun_X42_4(X107!15)),
% 5.66/3.81      inference(unit_resolution,[status(thm)],[75, 69, 18, 56])).
% 5.66/3.81  tff(77,plain,
% 5.66/3.81      (tptp_fun_X42_4(X107!15) = tptp0),
% 5.66/3.81      inference(symmetry,[status(thm)],[76])).
% 5.66/3.81  tff(78,assumption,(tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), introduced(assumption)).
% 5.66/3.81  tff(79,plain,
% 5.66/3.81      (tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) = tptp_fun_X105_12(X107!15, X106!16)),
% 5.66/3.81      inference(symmetry,[status(thm)],[78])).
% 5.66/3.81  tff(80,plain,
% 5.66/3.81      (root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15)) <=> root(tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.66/3.81      inference(monotonicity,[status(thm)],[79, 77])).
% 5.66/3.81  tff(81,plain,
% 5.66/3.81      (root(tptp_fun_X105_12(X107!15, X106!16), tptp0) <=> root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))),
% 5.66/3.81      inference(symmetry,[status(thm)],[80])).
% 5.66/3.81  tff(82,plain,
% 5.66/3.81      ((~root(tptp_fun_X105_12(X107!15, X106!16), tptp0)) <=> (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15)))),
% 5.66/3.81      inference(monotonicity,[status(thm)],[81])).
% 5.66/3.81  tff(83,plain,
% 5.66/3.81      (^[X78: $i, X79: $i, X80: $i] : rewrite((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))))))),
% 5.66/3.81      inference(bind,[status(th)],[])).
% 5.66/3.81  tff(84,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))),
% 5.66/3.81      inference(quant_intro,[status(thm)],[83])).
% 5.66/3.81  tff(85,plain,
% 5.66/3.81      (^[X78: $i, X79: $i, X80: $i] : refl((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))))),
% 5.66/3.81      inference(bind,[status(th)],[])).
% 5.66/3.81  tff(86,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 5.66/3.81      inference(quant_intro,[status(thm)],[85])).
% 5.66/3.81  tff(87,plain,
% 5.66/3.81      (^[X78: $i, X79: $i, X80: $i] : rewrite((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))))),
% 5.66/3.81      inference(bind,[status(th)],[])).
% 5.66/3.81  tff(88,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 5.66/3.81      inference(quant_intro,[status(thm)],[87])).
% 5.66/3.81  tff(89,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 5.66/3.81      inference(transitivity,[status(thm)],[88, 86])).
% 5.66/3.81  tff(90,plain,
% 5.66/3.81      (^[X78: $i, X79: $i, X80: $i] : trans(monotonicity(rewrite(((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) <=> ((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))), trans(monotonicity(rewrite((min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)) <=> (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))), ((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))), rewrite((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))), ((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))), ((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> (((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))), rewrite((((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))), ((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))))),
% 5.66/3.81      inference(bind,[status(th)],[])).
% 5.66/3.81  tff(91,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 5.66/3.81      inference(quant_intro,[status(thm)],[90])).
% 5.66/3.81  tff(92,plain,
% 5.66/3.81      (^[X78: $i, X79: $i, X80: $i] : rewrite((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))),
% 5.66/3.81      inference(bind,[status(th)],[])).
% 5.66/3.81  tff(93,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> ![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))),
% 5.66/3.81      inference(quant_intro,[status(thm)],[92])).
% 5.66/3.81  tff(94,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) <=> ![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))),
% 5.66/3.81      inference(rewrite,[status(thm)],[])).
% 5.66/3.81  tff(95,axiom,(![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_26')).
% 5.66/3.81  tff(96,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[95, 94])).
% 5.66/3.81  tff(97,plain,(
% 5.66/3.81      ![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))),
% 5.66/3.81      inference(skolemize,[status(sab)],[96])).
% 5.66/3.81  tff(98,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[97, 93])).
% 5.66/3.81  tff(99,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[98, 91])).
% 5.66/3.81  tff(100,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[99, 89])).
% 5.66/3.81  tff(101,plain,
% 5.66/3.81      (![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))),
% 5.66/3.81      inference(modus_ponens,[status(thm)],[100, 84])).
% 5.66/3.81  tff(102,plain,
% 5.66/3.81      ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp0, tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0))))))))))),
% 5.66/3.81      inference(quant_inst,[status(thm)],[])).
% 5.66/3.81  tff(103,plain,
% 5.66/3.81      (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp0, tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))))))))),
% 5.66/3.81      inference(unit_resolution,[status(thm)],[102, 101])).
% 5.66/3.81  tff(104,plain,
% 5.66/3.81      (((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp0, tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0))))))))) | ((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))))))),
% 5.66/3.81      inference(tautology,[status(thm)],[])).
% 5.66/3.81  tff(105,plain,
% 5.66/3.81      ((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0))))))),
% 5.66/3.81      inference(unit_resolution,[status(thm)],[104, 103])).
% 5.66/3.81  tff(106,plain,
% 5.66/3.81      (~leaf_occ(X106!16, X107!15)),
% 5.66/3.81      inference(and_elim,[status(thm)],[17])).
% 5.66/3.81  tff(107,plain,
% 5.66/3.81      (arboreal(X106!16)),
% 5.66/3.81      inference(and_elim,[status(thm)],[17])).
% 5.66/3.81  tff(108,plain,
% 5.66/3.81      (subactivity_occurrence(X106!16, X107!15)),
% 5.66/3.81      inference(and_elim,[status(thm)],[17])).
% 5.66/3.81  tff(109,plain,
% 5.66/3.81      (^[X101: $i, X102: $i] : refl((leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102))))) <=> (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102))))))),
% 5.66/3.81      inference(bind,[status(th)],[])).
% 5.66/3.81  tff(110,plain,
% 5.66/3.81      (![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102))))) <=> ![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))),
% 5.66/3.81      inference(quant_intro,[status(thm)],[109])).
% 5.66/3.81  tff(111,plain,
% 5.66/3.81      (^[X101: $i, X102: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102))) <=> (~(leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0))))), ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) <=> (~(~(leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0))))))), rewrite((~(~(leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0))))) <=> (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)))), ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) <=> (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0))))), rewrite((occurrence_of(tptp_fun_X103_14(X102, X101), tptp3) & next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0) & occurrence_of(tptp_fun_X104_13(X102, X101), tptp4) & next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0) & (occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2)) & next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0) & leaf_occ(tptp_fun_X105_12(X102, X101), X102)) <=> (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102))))), (((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | (occurrence_of(tptp_fun_X103_14(X102, X101), tptp3) & next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0) & occurrence_of(tptp_fun_X104_13(X102, X101), tptp4) & next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0) & (occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2)) & next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0) & leaf_occ(tptp_fun_X105_12(X102, X101), X102))) <=> ((leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0))) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102))))))), rewrite(((leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0))) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102))))) <=> (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))), (((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | (occurrence_of(tptp_fun_X103_14(X102, X101), tptp3) & next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0) & occurrence_of(tptp_fun_X104_13(X102, X101), tptp4) & next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0) & (occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2)) & next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0) & leaf_occ(tptp_fun_X105_12(X102, X101), X102))) <=> (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))))),
% 5.66/3.81      inference(bind,[status(th)],[])).
% 5.66/3.81  tff(112,plain,
% 5.66/3.81      (![X101: $i, X102: $i] : ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | (occurrence_of(tptp_fun_X103_14(X102, X101), tptp3) & next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0) & occurrence_of(tptp_fun_X104_13(X102, X101), tptp4) & next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0) & (occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2)) & next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0) & leaf_occ(tptp_fun_X105_12(X102, X101), X102))) <=> ![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))),
% 5.66/3.81      inference(quant_intro,[status(thm)],[111])).
% 5.66/3.81  tff(113,plain,
% 5.66/3.81      (![X101: $i, X102: $i] : ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102))) <=> ![X101: $i, X102: $i] : ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102)))),
% 5.66/3.81      inference(rewrite,[status(thm)],[])).
% 5.66/3.81  tff(114,plain,
% 5.66/3.81      (^[X101: $i, X102: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102)) & arboreal(X101)) <=> (occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101))), ((((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102)) & arboreal(X101)) & (~leaf_occ(X101, X102))) <=> ((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101)) & (~leaf_occ(X101, X102))))), rewrite(((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101)) & (~leaf_occ(X101, X102))) <=> (occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))), ((((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102)) & arboreal(X101)) & (~leaf_occ(X101, X102))) <=> (occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102))))), quant_intro(proof_bind(^[X103: $i, X104: $i, X105: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4))), ((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) <=> ((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)))), rewrite(((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0))), ((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0)))), (((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) <=> ((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))))), rewrite(((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)))), (((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))))), ((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) <=> ((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)))), rewrite(((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0))), ((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0)))), (((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102)) <=> ((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102)))), rewrite(((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102)) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102))), (((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102)) <=> (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102))))), (?[X103: $i, X104: $i, X105: $i] : ((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102)) <=> ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102)))), (((((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102)) & arboreal(X101)) & (~leaf_occ(X101, X102))) => ?[X103: $i, X104: $i, X105: $i] : ((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102))) <=> ((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102))) => ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102))))), rewrite(((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102))) => ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102))) <=> ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102)))), (((((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102)) & arboreal(X101)) & (~leaf_occ(X101, X102))) => ?[X103: $i, X104: $i, X105: $i] : ((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102))) <=> ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102)))))),
% 5.66/3.81      inference(bind,[status(th)],[])).
% 5.66/3.81  tff(115,plain,
% 5.66/3.81      (![X101: $i, X102: $i] : ((((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102)) & arboreal(X101)) & (~leaf_occ(X101, X102))) => ?[X103: $i, X104: $i, X105: $i] : ((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102))) <=> ![X101: $i, X102: $i] : ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102)))),
% 5.66/3.82      inference(quant_intro,[status(thm)],[114])).
% 5.66/3.82  tff(116,axiom,(![X101: $i, X102: $i] : ((((occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102)) & arboreal(X101)) & (~leaf_occ(X101, X102))) => ?[X103: $i, X104: $i, X105: $i] : ((((((occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0)) & occurrence_of(X104, tptp4)) & next_subocc(X103, X104, tptp0)) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2))) & next_subocc(X104, X105, tptp0)) & leaf_occ(X105, X102)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_32')).
% 5.66/3.82  tff(117,plain,
% 5.66/3.82      (![X101: $i, X102: $i] : ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102)))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[116, 115])).
% 5.66/3.82  tff(118,plain,
% 5.66/3.82      (![X101: $i, X102: $i] : ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | ?[X103: $i, X104: $i, X105: $i] : (occurrence_of(X103, tptp3) & next_subocc(X101, X103, tptp0) & occurrence_of(X104, tptp4) & next_subocc(X103, X104, tptp0) & (occurrence_of(X105, tptp1) | occurrence_of(X105, tptp2)) & next_subocc(X104, X105, tptp0) & leaf_occ(X105, X102)))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[117, 113])).
% 5.66/3.82  tff(119,plain,(
% 5.66/3.82      ![X101: $i, X102: $i] : ((~(occurrence_of(X102, tptp0) & subactivity_occurrence(X101, X102) & arboreal(X101) & (~leaf_occ(X101, X102)))) | (occurrence_of(tptp_fun_X103_14(X102, X101), tptp3) & next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0) & occurrence_of(tptp_fun_X104_13(X102, X101), tptp4) & next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0) & (occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2)) & next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0) & leaf_occ(tptp_fun_X105_12(X102, X101), X102)))),
% 5.66/3.82      inference(skolemize,[status(sab)],[118])).
% 5.66/3.82  tff(120,plain,
% 5.66/3.82      (![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[119, 112])).
% 5.66/3.82  tff(121,plain,
% 5.66/3.82      (![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[120, 110])).
% 5.66/3.82  tff(122,plain,
% 5.66/3.82      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(X106!16, X107!15) | (~occurrence_of(X107!15, tptp0)) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | leaf_occ(X106!16, X107!15) | (~occurrence_of(X107!15, tptp0)) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))),
% 5.66/3.82      inference(rewrite,[status(thm)],[])).
% 5.66/3.82  tff(123,plain,
% 5.66/3.82      ((leaf_occ(X106!16, X107!15) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~occurrence_of(X107!15, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15))))) <=> (leaf_occ(X106!16, X107!15) | (~occurrence_of(X107!15, tptp0)) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))),
% 5.66/3.82      inference(rewrite,[status(thm)],[])).
% 5.66/3.82  tff(124,plain,
% 5.66/3.82      ((~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))) <=> (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15))))),
% 5.66/3.82      inference(rewrite,[status(thm)],[])).
% 5.66/3.82  tff(125,plain,
% 5.66/3.82      ((leaf_occ(X106!16, X107!15) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~occurrence_of(X107!15, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15))))) <=> (leaf_occ(X106!16, X107!15) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~occurrence_of(X107!15, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))),
% 5.66/3.82      inference(monotonicity,[status(thm)],[124])).
% 5.66/3.82  tff(126,plain,
% 5.66/3.82      ((leaf_occ(X106!16, X107!15) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~occurrence_of(X107!15, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15))))) <=> (leaf_occ(X106!16, X107!15) | (~occurrence_of(X107!15, tptp0)) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))),
% 5.66/3.82      inference(transitivity,[status(thm)],[125, 123])).
% 5.66/3.82  tff(127,plain,
% 5.66/3.82      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(X106!16, X107!15) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~occurrence_of(X107!15, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(X106!16, X107!15) | (~occurrence_of(X107!15, tptp0)) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15))))))),
% 5.66/3.82      inference(monotonicity,[status(thm)],[126])).
% 5.66/3.82  tff(128,plain,
% 5.66/3.82      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(X106!16, X107!15) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~occurrence_of(X107!15, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | leaf_occ(X106!16, X107!15) | (~occurrence_of(X107!15, tptp0)) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))),
% 5.66/3.82      inference(transitivity,[status(thm)],[127, 122])).
% 5.66/3.82  tff(129,plain,
% 5.66/3.82      ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(X106!16, X107!15) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~occurrence_of(X107!15, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))))),
% 5.66/3.82      inference(quant_inst,[status(thm)],[])).
% 5.66/3.82  tff(130,plain,
% 5.66/3.82      ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | leaf_occ(X106!16, X107!15) | (~occurrence_of(X107!15, tptp0)) | (~subactivity_occurrence(X106!16, X107!15)) | (~arboreal(X106!16)) | (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15))))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[129, 128])).
% 5.66/3.82  tff(131,plain,
% 5.66/3.82      (~((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)))),
% 5.66/3.82      inference(unit_resolution,[status(thm)],[130, 121, 18, 108, 107, 106])).
% 5.66/3.82  tff(132,plain,
% 5.66/3.82      (((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15))) | next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.66/3.82      inference(tautology,[status(thm)],[])).
% 5.66/3.82  tff(133,plain,
% 5.66/3.82      (next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.66/3.82      inference(unit_resolution,[status(thm)],[132, 131])).
% 5.66/3.82  tff(134,plain,
% 5.66/3.82      ((~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))))))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0))))))),
% 5.66/3.82      inference(tautology,[status(thm)],[])).
% 5.66/3.82  tff(135,plain,
% 5.66/3.82      ((~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))))))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0))))))),
% 5.66/3.82      inference(unit_resolution,[status(thm)],[134, 133])).
% 5.66/3.82  tff(136,plain,
% 5.66/3.82      (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))))),
% 5.66/3.82      inference(unit_resolution,[status(thm)],[135, 105])).
% 5.66/3.82  tff(137,plain,
% 5.66/3.82      (((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0))))) | min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.66/3.82      inference(tautology,[status(thm)],[])).
% 5.66/3.82  tff(138,plain,
% 5.66/3.82      (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.66/3.82      inference(unit_resolution,[status(thm)],[137, 136])).
% 5.66/3.82  tff(139,plain,
% 5.66/3.82      (^[X65: $i, X66: $i, X67: $i] : refl(((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 5.66/3.82      inference(bind,[status(th)],[])).
% 5.66/3.82  tff(140,plain,
% 5.66/3.82      (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 5.66/3.82      inference(quant_intro,[status(thm)],[139])).
% 5.66/3.82  tff(141,plain,
% 5.66/3.82      (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 5.66/3.82      inference(rewrite,[status(thm)],[])).
% 5.66/3.82  tff(142,plain,
% 5.66/3.82      (^[X65: $i, X66: $i, X67: $i] : rewrite((min_precedes(X65, X66, X67) => (~root(X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 5.66/3.82      inference(bind,[status(th)],[])).
% 5.66/3.82  tff(143,plain,
% 5.66/3.82      (![X65: $i, X66: $i, X67: $i] : (min_precedes(X65, X66, X67) => (~root(X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 5.66/3.82      inference(quant_intro,[status(thm)],[142])).
% 5.66/3.82  tff(144,axiom,(![X65: $i, X66: $i, X67: $i] : (min_precedes(X65, X66, X67) => (~root(X66, X67)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_22')).
% 5.66/3.82  tff(145,plain,
% 5.66/3.82      (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[144, 143])).
% 5.66/3.82  tff(146,plain,
% 5.66/3.82      (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[145, 141])).
% 5.66/3.82  tff(147,plain,(
% 5.66/3.82      ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 5.66/3.82      inference(skolemize,[status(sab)],[146])).
% 5.66/3.82  tff(148,plain,
% 5.66/3.82      (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[147, 140])).
% 5.66/3.82  tff(149,plain,
% 5.66/3.82      (((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)))) <=> ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)))),
% 5.66/3.82      inference(rewrite,[status(thm)],[])).
% 5.66/3.82  tff(150,plain,
% 5.66/3.82      ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)))),
% 5.66/3.82      inference(quant_inst,[status(thm)],[])).
% 5.66/3.82  tff(151,plain,
% 5.66/3.82      ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[150, 149])).
% 5.66/3.82  tff(152,plain,
% 5.66/3.82      (~root(tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.66/3.82      inference(unit_resolution,[status(thm)],[151, 148, 138])).
% 5.66/3.82  tff(153,plain,
% 5.66/3.82      (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))),
% 5.66/3.82      inference(modus_ponens,[status(thm)],[152, 82])).
% 5.66/3.82  tff(154,plain,
% 5.66/3.82      (^[X55: $i, X56: $i] : refl((~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))))),
% 5.66/3.82      inference(bind,[status(th)],[])).
% 5.66/3.82  tff(155,plain,
% 5.66/3.82      (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 5.66/3.82      inference(quant_intro,[status(thm)],[154])).
% 5.66/3.82  tff(156,plain,
% 5.66/3.82      (^[X55: $i, X56: $i] : rewrite((~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))))),
% 5.66/3.82      inference(bind,[status(th)],[])).
% 5.66/3.82  tff(157,plain,
% 5.66/3.82      (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 5.66/3.82      inference(quant_intro,[status(thm)],[156])).
% 5.66/3.82  tff(158,plain,
% 5.66/3.82      (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 5.66/3.82      inference(transitivity,[status(thm)],[157, 155])).
% 5.66/3.82  tff(159,plain,
% 5.66/3.82      (^[X55: $i, X56: $i] : trans(monotonicity(rewrite(((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) <=> ((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))), rewrite((leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))) <=> (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))), ((((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> (((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55)))))) & (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))), rewrite((((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55)))))) & (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))), ((((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(160,plain,
% 5.66/3.83      (![X55: $i, X56: $i] : (((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[159])).
% 5.66/3.83  tff(161,plain,
% 5.66/3.83      (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))) <=> ![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(162,plain,
% 5.66/3.83      (^[X55: $i, X56: $i] : rewrite((leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57))) <=> (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(163,plain,
% 5.66/3.83      (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57))) <=> ![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[162])).
% 5.66/3.83  tff(164,axiom,(![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_18')).
% 5.66/3.83  tff(165,plain,
% 5.66/3.83      (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[164, 163])).
% 5.66/3.83  tff(166,plain,
% 5.66/3.83      (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[165, 161])).
% 5.66/3.83  tff(167,plain,(
% 5.66/3.83      ![X55: $i, X56: $i] : (((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))))),
% 5.66/3.83      inference(skolemize,[status(sab)],[166])).
% 5.66/3.83  tff(168,plain,
% 5.66/3.83      (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[167, 160])).
% 5.66/3.83  tff(169,plain,
% 5.66/3.83      (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[168, 158])).
% 5.66/3.83  tff(170,plain,
% 5.66/3.83      ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15) | ![X57: $i] : ((~occurrence_of(X107!15, X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)))))))),
% 5.66/3.83      inference(quant_inst,[status(thm)],[])).
% 5.66/3.83  tff(171,plain,
% 5.66/3.83      (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15) | ![X57: $i] : ((~occurrence_of(X107!15, X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), X57))))))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[170, 169])).
% 5.66/3.83  tff(172,plain,
% 5.66/3.83      (((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15) | ![X57: $i] : ((~occurrence_of(X107!15, X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)))))) | ((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(173,plain,
% 5.66/3.83      ((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[172, 171])).
% 5.66/3.83  tff(174,plain,
% 5.66/3.83      (((~occurrence_of(tptp_fun_X103_14(X107!15, X106!16), tptp3)) | (~next_subocc(X106!16, tptp_fun_X103_14(X107!15, X106!16), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X107!15, X106!16), tptp4)) | (~next_subocc(tptp_fun_X103_14(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp1) | occurrence_of(tptp_fun_X105_12(X107!15, X106!16), tptp2))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15))) | leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(175,plain,
% 5.66/3.83      (leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[174, 131])).
% 5.66/3.83  tff(176,plain,
% 5.66/3.83      ((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(177,plain,
% 5.66/3.83      ((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[176, 175])).
% 5.66/3.83  tff(178,plain,
% 5.66/3.83      (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[177, 173])).
% 5.66/3.83  tff(179,plain,
% 5.66/3.83      (((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))) | occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(180,plain,
% 5.66/3.83      (occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[179, 178])).
% 5.66/3.83  tff(181,plain,
% 5.66/3.83      (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(182,plain,
% 5.66/3.83      (((tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15)))) <=> ((~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(183,plain,
% 5.66/3.83      (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15))))),
% 5.66/3.83      inference(monotonicity,[status(thm)],[182])).
% 5.66/3.83  tff(184,plain,
% 5.66/3.83      (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)))),
% 5.66/3.83      inference(transitivity,[status(thm)],[183, 181])).
% 5.66/3.83  tff(185,plain,
% 5.66/3.83      ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))),
% 5.66/3.83      inference(quant_inst,[status(thm)],[])).
% 5.66/3.83  tff(186,plain,
% 5.66/3.83      ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[185, 184])).
% 5.66/3.83  tff(187,plain,
% 5.66/3.83      (tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[186, 69, 56, 180])).
% 5.66/3.83  tff(188,plain,
% 5.66/3.83      (tptp_fun_X42_4(X107!15) = tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))),
% 5.66/3.83      inference(symmetry,[status(thm)],[187])).
% 5.66/3.83  tff(189,plain,
% 5.66/3.83      (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(monotonicity,[status(thm)],[188])).
% 5.66/3.83  tff(190,plain,
% 5.66/3.83      (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.66/3.83      inference(symmetry,[status(thm)],[189])).
% 5.66/3.83  tff(191,plain,
% 5.66/3.83      (^[X51: $i, X52: $i] : refl(((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(192,plain,
% 5.66/3.83      (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[191])).
% 5.66/3.83  tff(193,plain,
% 5.66/3.83      (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(194,plain,
% 5.66/3.83      (^[X51: $i, X52: $i] : rewrite((occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(195,plain,
% 5.66/3.83      (![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[194])).
% 5.66/3.83  tff(196,axiom,(![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_16')).
% 5.66/3.83  tff(197,plain,
% 5.66/3.83      (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[196, 195])).
% 5.66/3.83  tff(198,plain,
% 5.66/3.83      (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[197, 193])).
% 5.66/3.83  tff(199,plain,(
% 5.66/3.83      ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 5.66/3.83      inference(skolemize,[status(sab)],[198])).
% 5.66/3.83  tff(200,plain,
% 5.66/3.83      (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[199, 192])).
% 5.66/3.83  tff(201,plain,
% 5.66/3.83      (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (arboreal(X107!15) <=> atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (arboreal(X107!15) <=> atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(202,plain,
% 5.66/3.83      ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (arboreal(X107!15) <=> atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))),
% 5.66/3.83      inference(quant_inst,[status(thm)],[])).
% 5.66/3.83  tff(203,plain,
% 5.66/3.83      ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (arboreal(X107!15) <=> atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[202, 201])).
% 5.66/3.83  tff(204,plain,
% 5.66/3.83      (arboreal(X107!15) <=> atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[203, 200, 180])).
% 5.66/3.83  tff(205,plain,
% 5.66/3.83      (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X107!15, tptp0)) | (arboreal(X107!15) <=> atomic(tptp0)))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X107!15, tptp0)) | (arboreal(X107!15) <=> atomic(tptp0)))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(206,plain,
% 5.66/3.83      ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X107!15, tptp0)) | (arboreal(X107!15) <=> atomic(tptp0)))),
% 5.66/3.83      inference(quant_inst,[status(thm)],[])).
% 5.66/3.83  tff(207,plain,
% 5.66/3.83      ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X107!15, tptp0)) | (arboreal(X107!15) <=> atomic(tptp0))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[206, 205])).
% 5.66/3.83  tff(208,plain,
% 5.66/3.83      (arboreal(X107!15) <=> atomic(tptp0)),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[207, 200, 18])).
% 5.66/3.83  tff(209,plain,
% 5.66/3.83      ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(210,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_34')).
% 5.66/3.83  tff(211,plain,
% 5.66/3.83      (~atomic(tptp0)),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[210, 209])).
% 5.66/3.83  tff(212,plain,
% 5.66/3.83      ((~(arboreal(X107!15) <=> atomic(tptp0))) | (~arboreal(X107!15)) | atomic(tptp0)),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(213,plain,
% 5.66/3.83      ((~(arboreal(X107!15) <=> atomic(tptp0))) | (~arboreal(X107!15))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[212, 211])).
% 5.66/3.83  tff(214,plain,
% 5.66/3.83      (~arboreal(X107!15)),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[213, 208])).
% 5.66/3.83  tff(215,plain,
% 5.66/3.83      ((~(arboreal(X107!15) <=> atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))) | arboreal(X107!15) | (~atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(216,plain,
% 5.66/3.83      ((~(arboreal(X107!15) <=> atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))) | (~atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[215, 214])).
% 5.66/3.83  tff(217,plain,
% 5.66/3.83      (~atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[216, 204])).
% 5.66/3.83  tff(218,plain,
% 5.66/3.83      (((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))) | leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(219,plain,
% 5.66/3.83      (leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[218, 178])).
% 5.66/3.83  tff(220,plain,
% 5.66/3.83      (^[X25: $i, X26: $i] : refl((atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(221,plain,
% 5.66/3.83      (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> ![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[220])).
% 5.66/3.83  tff(222,plain,
% 5.66/3.83      (^[X25: $i, X26: $i] : trans(monotonicity(trans(monotonicity(rewrite((leaf(X25, X26) & (~atomic(X26))) <=> (~(atomic(X26) | (~leaf(X25, X26))))), ((~(leaf(X25, X26) & (~atomic(X26)))) <=> (~(~(atomic(X26) | (~leaf(X25, X26))))))), rewrite((~(~(atomic(X26) | (~leaf(X25, X26))))) <=> (atomic(X26) | (~leaf(X25, X26)))), ((~(leaf(X25, X26) & (~atomic(X26)))) <=> (atomic(X26) | (~leaf(X25, X26))))), rewrite((occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25))) <=> (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))), (((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> ((atomic(X26) | (~leaf(X25, X26))) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))))), rewrite(((atomic(X26) | (~leaf(X25, X26))) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))), (((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(223,plain,
% 5.66/3.83      (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> ![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[222])).
% 5.66/3.83  tff(224,plain,
% 5.66/3.83      (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(225,plain,
% 5.66/3.83      (^[X25: $i, X26: $i] : rewrite(((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(226,plain,
% 5.66/3.83      (![X25: $i, X26: $i] : ((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[225])).
% 5.66/3.83  tff(227,axiom,(![X25: $i, X26: $i] : ((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_07')).
% 5.66/3.83  tff(228,plain,
% 5.66/3.83      (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[227, 226])).
% 5.66/3.83  tff(229,plain,
% 5.66/3.83      (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[228, 224])).
% 5.66/3.83  tff(230,plain,(
% 5.66/3.83      ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25))))),
% 5.66/3.83      inference(skolemize,[status(sab)],[229])).
% 5.66/3.83  tff(231,plain,
% 5.66/3.83      (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[230, 223])).
% 5.66/3.83  tff(232,plain,
% 5.66/3.83      (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[231, 221])).
% 5.66/3.83  tff(233,plain,
% 5.66/3.83      (((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | (atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))) <=> ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(234,plain,
% 5.66/3.83      ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | (atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.83      inference(quant_inst,[status(thm)],[])).
% 5.66/3.83  tff(235,plain,
% 5.66/3.83      ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[234, 233])).
% 5.66/3.83  tff(236,plain,
% 5.66/3.83      (atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))) | (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[235, 232, 219])).
% 5.66/3.83  tff(237,plain,
% 5.66/3.83      (~((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[236, 217])).
% 5.66/3.83  tff(238,plain,
% 5.66/3.83      (((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))) | occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(239,plain,
% 5.66/3.83      (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[238, 237])).
% 5.66/3.83  tff(240,plain,
% 5.66/3.83      (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[239, 190])).
% 5.66/3.83  tff(241,plain,
% 5.66/3.83      (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15))))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(242,plain,
% 5.66/3.83      ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15))))),
% 5.66/3.83      inference(quant_inst,[status(thm)],[])).
% 5.66/3.83  tff(243,plain,
% 5.66/3.83      ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))) | (arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15)))),
% 5.66/3.83      inference(modus_ponens,[status(thm)],[242, 241])).
% 5.66/3.83  tff(244,plain,
% 5.66/3.83      (arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[243, 200, 56])).
% 5.66/3.83  tff(245,plain,
% 5.66/3.83      ((~(arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15)))) | arboreal(X107!15) | (~atomic(tptp_fun_X42_4(X107!15)))),
% 5.66/3.83      inference(tautology,[status(thm)],[])).
% 5.66/3.83  tff(246,plain,
% 5.66/3.83      ((~(arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15)))) | (~atomic(tptp_fun_X42_4(X107!15)))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[245, 214])).
% 5.66/3.83  tff(247,plain,
% 5.66/3.83      (~atomic(tptp_fun_X42_4(X107!15))),
% 5.66/3.83      inference(unit_resolution,[status(thm)],[246, 244])).
% 5.66/3.83  tff(248,plain,
% 5.66/3.83      (^[X0: $i, X1: $i] : refl((atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(249,plain,
% 5.66/3.83      (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> ![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[248])).
% 5.66/3.83  tff(250,plain,
% 5.66/3.83      (^[X0: $i, X1: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X1, X0) & (~atomic(X0))) <=> (~(atomic(X0) | (~occurrence_of(X1, X0))))), ((~(occurrence_of(X1, X0) & (~atomic(X0)))) <=> (~(~(atomic(X0) | (~occurrence_of(X1, X0))))))), rewrite((~(~(atomic(X0) | (~occurrence_of(X1, X0))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)))), ((~(occurrence_of(X1, X0) & (~atomic(X0)))) <=> (atomic(X0) | (~occurrence_of(X1, X0))))), rewrite((root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)) <=> (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))), (((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> ((atomic(X0) | (~occurrence_of(X1, X0))) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))))), rewrite(((atomic(X0) | (~occurrence_of(X1, X0))) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))), (((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(251,plain,
% 5.66/3.83      (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> ![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 5.66/3.83      inference(quant_intro,[status(thm)],[250])).
% 5.66/3.83  tff(252,plain,
% 5.66/3.83      (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 5.66/3.83      inference(rewrite,[status(thm)],[])).
% 5.66/3.83  tff(253,plain,
% 5.66/3.83      (^[X0: $i, X1: $i] : rewrite(((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))))),
% 5.66/3.83      inference(bind,[status(th)],[])).
% 5.66/3.83  tff(254,plain,
% 5.66/3.83      (![X0: $i, X1: $i] : ((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 5.66/3.84      inference(quant_intro,[status(thm)],[253])).
% 5.66/3.84  tff(255,axiom,(![X0: $i, X1: $i] : ((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos')).
% 5.66/3.84  tff(256,plain,
% 5.66/3.84      (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[255, 254])).
% 5.66/3.84  tff(257,plain,
% 5.66/3.84      (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[256, 252])).
% 5.66/3.84  tff(258,plain,(
% 5.66/3.84      ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))),
% 5.66/3.84      inference(skolemize,[status(sab)],[257])).
% 5.66/3.84  tff(259,plain,
% 5.66/3.84      (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[258, 251])).
% 5.66/3.84  tff(260,plain,
% 5.66/3.84      (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[259, 249])).
% 5.66/3.84  tff(261,plain,
% 5.66/3.84      (((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | (atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))) <=> ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.84      inference(rewrite,[status(thm)],[])).
% 5.66/3.84  tff(262,plain,
% 5.66/3.84      ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | (atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.84      inference(quant_inst,[status(thm)],[])).
% 5.66/3.84  tff(263,plain,
% 5.66/3.84      ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[262, 261])).
% 5.66/3.84  tff(264,plain,
% 5.66/3.84      ((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[263, 260, 247])).
% 5.66/3.84  tff(265,plain,
% 5.66/3.84      (~((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[264, 240])).
% 5.66/3.84  tff(266,plain,
% 5.66/3.84      (((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))) | root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))),
% 5.66/3.84      inference(tautology,[status(thm)],[])).
% 5.66/3.84  tff(267,plain,
% 5.66/3.84      (root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[266, 265])).
% 5.66/3.84  tff(268,plain,
% 5.66/3.84      ($false),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[267, 153])).
% 5.66/3.84  tff(269,plain,(~(tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), inference(lemma,lemma(discharge,[]))).
% 5.66/3.84  tff(270,assumption,(leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))), introduced(assumption)).
% 5.66/3.84  tff(271,plain,
% 5.66/3.84      (((~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))) | leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.84      inference(tautology,[status(thm)],[])).
% 5.66/3.84  tff(272,plain,
% 5.66/3.84      (leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[271, 237])).
% 5.66/3.84  tff(273,plain,
% 5.66/3.84      (^[X86: $i, X87: $i, X88: $i, X89: $i] : refl((atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))),
% 5.66/3.84      inference(bind,[status(th)],[])).
% 5.66/3.84  tff(274,plain,
% 5.66/3.84      (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 5.66/3.84      inference(quant_intro,[status(thm)],[273])).
% 5.66/3.84  tff(275,plain,
% 5.66/3.84      (^[X86: $i, X87: $i, X88: $i, X89: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) <=> (~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))), ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) <=> (~(~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))))), rewrite((~(~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))) <=> (atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))), ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) <=> (atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))), (((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ((atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) | (X86 = X87)))), rewrite(((atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) | (X86 = X87)) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))), (((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))))),
% 5.66/3.84      inference(bind,[status(th)],[])).
% 5.66/3.84  tff(276,plain,
% 5.66/3.84      (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 5.66/3.84      inference(quant_intro,[status(thm)],[275])).
% 5.66/3.84  tff(277,plain,
% 5.66/3.84      (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 5.66/3.84      inference(rewrite,[status(thm)],[])).
% 5.66/3.84  tff(278,plain,
% 5.66/3.84      (^[X86: $i, X87: $i, X88: $i, X89: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88))), ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> ((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)))), rewrite(((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))), ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)))), (((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) => (X86 = X87)))), rewrite(((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))), (((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))))),
% 5.66/3.84      inference(bind,[status(th)],[])).
% 5.66/3.84  tff(279,plain,
% 5.66/3.84      (![X86: $i, X87: $i, X88: $i, X89: $i] : ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 5.66/3.84      inference(quant_intro,[status(thm)],[278])).
% 5.66/3.84  tff(280,axiom,(![X86: $i, X87: $i, X88: $i, X89: $i] : ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_28')).
% 5.66/3.84  tff(281,plain,
% 5.66/3.84      (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[280, 279])).
% 5.66/3.84  tff(282,plain,
% 5.66/3.84      (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[281, 277])).
% 5.66/3.84  tff(283,plain,(
% 5.66/3.84      ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 5.66/3.84      inference(skolemize,[status(sab)],[282])).
% 5.66/3.84  tff(284,plain,
% 5.66/3.84      (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[283, 276])).
% 5.66/3.84  tff(285,plain,
% 5.66/3.84      (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[284, 274])).
% 5.66/3.84  tff(286,plain,
% 5.66/3.84      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.66/3.84      inference(rewrite,[status(thm)],[])).
% 5.66/3.84  tff(287,plain,
% 5.66/3.84      ((atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))) <=> (atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.66/3.84      inference(rewrite,[status(thm)],[])).
% 5.66/3.84  tff(288,plain,
% 5.66/3.84      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.66/3.84      inference(monotonicity,[status(thm)],[287])).
% 5.66/3.84  tff(289,plain,
% 5.66/3.84      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.66/3.84      inference(transitivity,[status(thm)],[288, 286])).
% 5.66/3.84  tff(290,plain,
% 5.66/3.84      ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))),
% 5.66/3.84      inference(quant_inst,[status(thm)],[])).
% 5.66/3.84  tff(291,plain,
% 5.66/3.84      ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[290, 289])).
% 5.66/3.84  tff(292,plain,
% 5.66/3.84      ($false),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[291, 285, 247, 272, 240, 270, 269])).
% 5.66/3.84  tff(293,plain,(~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))), inference(lemma,lemma(discharge,[]))).
% 5.66/3.84  tff(294,plain,
% 5.66/3.84      (^[X53: $i, X54: $i] : refl((legal(X53) | (~root(X53, X54))) <=> (legal(X53) | (~root(X53, X54))))),
% 5.66/3.84      inference(bind,[status(th)],[])).
% 5.66/3.84  tff(295,plain,
% 5.66/3.84      (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 5.66/3.84      inference(quant_intro,[status(thm)],[294])).
% 5.66/3.84  tff(296,plain,
% 5.66/3.84      (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 5.66/3.84      inference(rewrite,[status(thm)],[])).
% 5.66/3.84  tff(297,plain,
% 5.66/3.84      (^[X53: $i, X54: $i] : rewrite((root(X53, X54) => legal(X53)) <=> (legal(X53) | (~root(X53, X54))))),
% 5.66/3.84      inference(bind,[status(th)],[])).
% 5.66/3.84  tff(298,plain,
% 5.66/3.84      (![X53: $i, X54: $i] : (root(X53, X54) => legal(X53)) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 5.66/3.84      inference(quant_intro,[status(thm)],[297])).
% 5.66/3.84  tff(299,axiom,(![X53: $i, X54: $i] : (root(X53, X54) => legal(X53))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_17')).
% 5.66/3.84  tff(300,plain,
% 5.66/3.84      (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[299, 298])).
% 5.66/3.84  tff(301,plain,
% 5.66/3.84      (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[300, 296])).
% 5.66/3.84  tff(302,plain,(
% 5.66/3.84      ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 5.66/3.84      inference(skolemize,[status(sab)],[301])).
% 5.66/3.84  tff(303,plain,
% 5.66/3.84      (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[302, 295])).
% 5.66/3.84  tff(304,plain,
% 5.66/3.84      (((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))))) <=> ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))))),
% 5.66/3.84      inference(rewrite,[status(thm)],[])).
% 5.66/3.84  tff(305,plain,
% 5.66/3.84      ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))))),
% 5.66/3.84      inference(quant_inst,[status(thm)],[])).
% 5.66/3.84  tff(306,plain,
% 5.66/3.84      ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[305, 304])).
% 5.66/3.84  tff(307,plain,
% 5.66/3.84      (legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[306, 303, 267])).
% 5.66/3.84  tff(308,plain,
% 5.66/3.84      (^[X43: $i] : refl((arboreal(X43) | (~legal(X43))) <=> (arboreal(X43) | (~legal(X43))))),
% 5.66/3.84      inference(bind,[status(th)],[])).
% 5.66/3.84  tff(309,plain,
% 5.66/3.84      (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 5.66/3.84      inference(quant_intro,[status(thm)],[308])).
% 5.66/3.84  tff(310,plain,
% 5.66/3.84      (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 5.66/3.84      inference(rewrite,[status(thm)],[])).
% 5.66/3.84  tff(311,plain,
% 5.66/3.84      (^[X43: $i] : rewrite((legal(X43) => arboreal(X43)) <=> (arboreal(X43) | (~legal(X43))))),
% 5.66/3.84      inference(bind,[status(th)],[])).
% 5.66/3.84  tff(312,plain,
% 5.66/3.84      (![X43: $i] : (legal(X43) => arboreal(X43)) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 5.66/3.84      inference(quant_intro,[status(thm)],[311])).
% 5.66/3.84  tff(313,axiom,(![X43: $i] : (legal(X43) => arboreal(X43))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_13')).
% 5.66/3.84  tff(314,plain,
% 5.66/3.84      (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[313, 312])).
% 5.66/3.84  tff(315,plain,
% 5.66/3.84      (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[314, 310])).
% 5.66/3.84  tff(316,plain,(
% 5.66/3.84      ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 5.66/3.84      inference(skolemize,[status(sab)],[315])).
% 5.66/3.84  tff(317,plain,
% 5.66/3.84      (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[316, 309])).
% 5.66/3.84  tff(318,plain,
% 5.66/3.84      (((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))) <=> ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.66/3.84      inference(rewrite,[status(thm)],[])).
% 5.66/3.84  tff(319,plain,
% 5.66/3.84      ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.66/3.84      inference(quant_inst,[status(thm)],[])).
% 5.66/3.84  tff(320,plain,
% 5.66/3.84      ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~legal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[319, 318])).
% 5.66/3.84  tff(321,plain,
% 5.66/3.84      (arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[320, 317, 307])).
% 5.66/3.84  tff(322,plain,
% 5.66/3.84      (tptp0 = tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))),
% 5.66/3.84      inference(transitivity,[status(thm)],[76, 188])).
% 5.66/3.84  tff(323,plain,
% 5.66/3.84      (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.84      inference(monotonicity,[status(thm)],[322])).
% 5.66/3.84  tff(324,plain,
% 5.66/3.84      (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))) <=> occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)),
% 5.66/3.84      inference(symmetry,[status(thm)],[323])).
% 5.66/3.84  tff(325,plain,
% 5.66/3.84      (occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)),
% 5.66/3.84      inference(modus_ponens,[status(thm)],[239, 324])).
% 5.66/3.84  tff(326,plain,
% 5.66/3.84      (((~root(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.84      inference(tautology,[status(thm)],[])).
% 5.66/3.84  tff(327,plain,
% 5.66/3.84      (subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.84      inference(unit_resolution,[status(thm)],[326, 265])).
% 5.66/3.84  tff(328,plain,
% 5.66/3.84      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.85      inference(rewrite,[status(thm)],[])).
% 5.66/3.85  tff(329,plain,
% 5.66/3.85      ((leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))) <=> ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.85      inference(rewrite,[status(thm)],[])).
% 5.66/3.85  tff(330,plain,
% 5.66/3.85      ((~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))) <=> (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.85      inference(rewrite,[status(thm)],[])).
% 5.66/3.85  tff(331,plain,
% 5.66/3.85      ((leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))) <=> (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.86      inference(monotonicity,[status(thm)],[330])).
% 5.66/3.86  tff(332,plain,
% 5.66/3.86      ((leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))) <=> ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.86      inference(transitivity,[status(thm)],[331, 329])).
% 5.66/3.86  tff(333,plain,
% 5.66/3.86      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))))),
% 5.66/3.86      inference(monotonicity,[status(thm)],[332])).
% 5.66/3.86  tff(334,plain,
% 5.66/3.86      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.87      inference(transitivity,[status(thm)],[333, 328])).
% 5.66/3.87  tff(335,plain,
% 5.66/3.87      ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))))),
% 5.66/3.87      inference(quant_inst,[status(thm)],[])).
% 5.66/3.87  tff(336,plain,
% 5.66/3.87      ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.87      inference(modus_ponens,[status(thm)],[335, 334])).
% 5.66/3.87  tff(337,plain,
% 5.66/3.87      (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.87      inference(unit_resolution,[status(thm)],[336, 121, 327])).
% 5.66/3.87  tff(338,plain,
% 5.66/3.87      (leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))))),
% 5.66/3.87      inference(unit_resolution,[status(thm)],[337, 325, 321])).
% 5.66/3.87  tff(339,plain,
% 5.66/3.87      (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))),
% 5.66/3.87      inference(unit_resolution,[status(thm)],[338, 293])).
% 5.66/3.87  tff(340,plain,
% 5.66/3.87      (((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))) | leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.87      inference(tautology,[status(thm)],[])).
% 5.66/3.87  tff(341,plain,
% 5.66/3.87      (leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))),
% 5.66/3.87      inference(unit_resolution,[status(thm)],[340, 339])).
% 5.66/3.87  tff(342,plain,
% 5.66/3.87      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.66/3.88      inference(rewrite,[status(thm)],[])).
% 5.66/3.88  tff(343,plain,
% 5.66/3.88      ((atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))) <=> (atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.66/3.88      inference(rewrite,[status(thm)],[])).
% 5.66/3.88  tff(344,plain,
% 5.66/3.88      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.66/3.88      inference(monotonicity,[status(thm)],[343])).
% 5.66/3.88  tff(345,plain,
% 5.66/3.88      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.66/3.88      inference(transitivity,[status(thm)],[344, 342])).
% 5.66/3.88  tff(346,plain,
% 5.66/3.88      ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))))),
% 5.66/3.88      inference(quant_inst,[status(thm)],[])).
% 5.66/3.88  tff(347,plain,
% 5.66/3.88      ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.66/3.88      inference(modus_ponens,[status(thm)],[346, 345])).
% 5.66/3.88  tff(348,plain,
% 5.66/3.88      (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))),
% 5.66/3.88      inference(unit_resolution,[status(thm)],[347, 285, 247, 272, 240, 341])).
% 5.66/3.88  tff(349,plain,
% 5.66/3.88      (tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) = tptp_fun_X105_12(X107!15, X106!16)),
% 5.66/3.88      inference(symmetry,[status(thm)],[348])).
% 5.66/3.88  tff(350,plain,
% 5.66/3.88      (leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) <=> leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))),
% 5.66/3.88      inference(monotonicity,[status(thm)],[349])).
% 5.66/3.88  tff(351,plain,
% 5.66/3.88      ((~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) <=> (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))),
% 5.66/3.88      inference(monotonicity,[status(thm)],[350])).
% 5.66/3.88  tff(352,assumption,(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), introduced(assumption)).
% 5.66/3.88  tff(353,plain,
% 5.66/3.88      (earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.66/3.88      inference(monotonicity,[status(thm)],[352])).
% 5.66/3.88  tff(354,plain,
% 5.66/3.88      (earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.66/3.88      inference(symmetry,[status(thm)],[353])).
% 5.66/3.88  tff(355,plain,
% 5.66/3.88      ((~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) <=> (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))),
% 5.66/3.88      inference(monotonicity,[status(thm)],[354])).
% 5.66/3.88  tff(356,plain,
% 5.66/3.88      (^[X63: $i, X64: $i] : refl((precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64))))) <=> (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64))))))),
% 5.66/3.88      inference(bind,[status(th)],[])).
% 5.66/3.88  tff(357,plain,
% 5.66/3.88      (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64))))) <=> ![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64)))))),
% 5.66/3.88      inference(quant_intro,[status(thm)],[356])).
% 5.66/3.88  tff(358,plain,
% 5.66/3.88      (^[X63: $i, X64: $i] : rewrite((precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64))) <=> (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64))))))),
% 5.66/3.88      inference(bind,[status(th)],[])).
% 5.66/3.88  tff(359,plain,
% 5.66/3.88      (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64))) <=> ![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64)))))),
% 5.75/3.88      inference(quant_intro,[status(thm)],[358])).
% 5.75/3.88  tff(360,plain,
% 5.75/3.88      (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64))) <=> ![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64)))),
% 5.75/3.88      inference(rewrite,[status(thm)],[])).
% 5.75/3.88  tff(361,axiom,(![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_21')).
% 5.75/3.88  tff(362,plain,
% 5.75/3.88      (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64)))),
% 5.75/3.88      inference(modus_ponens,[status(thm)],[361, 360])).
% 5.75/3.88  tff(363,plain,(
% 5.75/3.88      ![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64)))),
% 5.75/3.88      inference(skolemize,[status(sab)],[362])).
% 5.75/3.88  tff(364,plain,
% 5.75/3.88      (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64)))))),
% 5.75/3.88      inference(modus_ponens,[status(thm)],[363, 359])).
% 5.75/3.88  tff(365,plain,
% 5.75/3.88      (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64)))))),
% 5.75/3.88      inference(modus_ponens,[status(thm)],[364, 357])).
% 5.75/3.88  tff(366,plain,
% 5.75/3.88      ((~![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64)))))) | (precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))),
% 5.75/3.88      inference(quant_inst,[status(thm)],[])).
% 5.75/3.88  tff(367,plain,
% 5.75/3.88      (precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.88      inference(unit_resolution,[status(thm)],[366, 365])).
% 5.75/3.88  tff(368,plain,
% 5.75/3.88      (min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) <=> min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.75/3.88      inference(monotonicity,[status(thm)],[349, 77])).
% 5.75/3.88  tff(369,plain,
% 5.75/3.88      (min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0) <=> min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))),
% 5.75/3.88      inference(symmetry,[status(thm)],[368])).
% 5.75/3.88  tff(370,plain,
% 5.75/3.88      ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)) <=> (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)))),
% 5.75/3.88      inference(monotonicity,[status(thm)],[369])).
% 5.75/3.88  tff(371,plain,
% 5.75/3.88      (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0) <=> min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.75/3.88      inference(monotonicity,[status(thm)],[76])).
% 5.75/3.88  tff(372,plain,
% 5.75/3.88      (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) <=> min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.75/3.88      inference(symmetry,[status(thm)],[371])).
% 5.75/3.88  tff(373,plain,
% 5.75/3.88      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.88      inference(rewrite,[status(thm)],[])).
% 5.75/3.88  tff(374,plain,
% 5.75/3.88      ((~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))))))))))) <=> (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))))))),
% 5.75/3.89      inference(rewrite,[status(thm)],[])).
% 5.75/3.89  tff(375,plain,
% 5.75/3.89      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.89      inference(monotonicity,[status(thm)],[374])).
% 5.75/3.89  tff(376,plain,
% 5.75/3.89      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.89      inference(transitivity,[status(thm)],[375, 373])).
% 5.75/3.89  tff(377,plain,
% 5.75/3.89      ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15)))))))))))),
% 5.75/3.89      inference(quant_inst,[status(thm)],[])).
% 5.75/3.89  tff(378,plain,
% 5.75/3.89      ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))))))),
% 5.75/3.89      inference(modus_ponens,[status(thm)],[377, 376])).
% 5.75/3.89  tff(379,plain,
% 5.75/3.89      (~((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))))),
% 5.75/3.89      inference(unit_resolution,[status(thm)],[378, 101])).
% 5.75/3.89  tff(380,plain,
% 5.75/3.89      (((~(next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))))) | ((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))),
% 5.75/3.89      inference(tautology,[status(thm)],[])).
% 5.75/3.89  tff(381,plain,
% 5.75/3.89      ((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.89      inference(unit_resolution,[status(thm)],[380, 379])).
% 5.75/3.89  tff(382,plain,
% 5.75/3.89      (next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) <=> next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.75/3.89      inference(monotonicity,[status(thm)],[77])).
% 5.75/3.89  tff(383,plain,
% 5.75/3.89      (next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0) <=> next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.75/3.89      inference(symmetry,[status(thm)],[382])).
% 5.75/3.89  tff(384,assumption,(![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15)))), introduced(assumption)).
% 5.75/3.89  tff(385,plain,
% 5.75/3.89      (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) <=> min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.75/3.89      inference(monotonicity,[status(thm)],[349, 77])).
% 5.75/3.89  tff(386,plain,
% 5.75/3.89      (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0) <=> min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))),
% 5.75/3.89      inference(symmetry,[status(thm)],[385])).
% 5.75/3.89  tff(387,plain,
% 5.75/3.89      (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))),
% 5.75/3.89      inference(modus_ponens,[status(thm)],[138, 386])).
% 5.75/3.89  tff(388,plain,
% 5.75/3.89      ((~![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15)))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)))),
% 5.75/3.89      inference(quant_inst,[status(thm)],[])).
% 5.75/3.89  tff(389,plain,
% 5.75/3.89      ($false),
% 5.75/3.89      inference(unit_resolution,[status(thm)],[388, 387, 384])).
% 5.75/3.89  tff(390,plain,(~![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15)))), inference(lemma,lemma(discharge,[]))).
% 5.75/3.89  tff(391,assumption,(leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))), introduced(assumption)).
% 5.75/3.89  tff(392,plain,
% 5.75/3.89      (occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15)) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)),
% 5.75/3.89      inference(monotonicity,[status(thm)],[77])).
% 5.75/3.89  tff(393,plain,
% 5.75/3.89      (occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))),
% 5.75/3.89      inference(symmetry,[status(thm)],[392])).
% 5.75/3.89  tff(394,plain,
% 5.75/3.89      (^[X21: $i, X22: $i, X23: $i] : refl(((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))) <=> ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))))),
% 5.75/3.89      inference(bind,[status(th)],[])).
% 5.75/3.89  tff(395,plain,
% 5.75/3.89      (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 5.75/3.89      inference(quant_intro,[status(thm)],[394])).
% 5.75/3.89  tff(396,plain,
% 5.75/3.89      (^[X21: $i, X22: $i, X23: $i] : rewrite(((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))) <=> ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))))),
% 5.75/3.89      inference(bind,[status(th)],[])).
% 5.75/3.89  tff(397,plain,
% 5.75/3.89      (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 5.75/3.89      inference(quant_intro,[status(thm)],[396])).
% 5.75/3.89  tff(398,plain,
% 5.75/3.89      (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 5.75/3.89      inference(rewrite,[status(thm)],[])).
% 5.75/3.89  tff(399,plain,
% 5.75/3.89      (^[X21: $i, X22: $i, X23: $i] : trans(monotonicity(quant_intro(proof_bind(^[X24: $i] : rewrite(((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)) <=> (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), (?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)) <=> ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), ((min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> (min_precedes(X22, X23, X21) => ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))))), rewrite((min_precedes(X22, X23, X21) => ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))) <=> ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), ((min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))))),
% 5.75/3.89      inference(bind,[status(th)],[])).
% 5.75/3.89  tff(400,plain,
% 5.75/3.89      (![X21: $i, X22: $i, X23: $i] : (min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 5.75/3.89      inference(quant_intro,[status(thm)],[399])).
% 5.75/3.89  tff(401,axiom,(![X21: $i, X22: $i, X23: $i] : (min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_06')).
% 5.75/3.89  tff(402,plain,
% 5.75/3.89      (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 5.75/3.89      inference(modus_ponens,[status(thm)],[401, 400])).
% 5.75/3.90  tff(403,plain,
% 5.75/3.90      (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[402, 398])).
% 5.75/3.90  tff(404,plain,(
% 5.75/3.90      ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))),
% 5.75/3.90      inference(skolemize,[status(sab)],[403])).
% 5.75/3.90  tff(405,plain,
% 5.75/3.90      (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[404, 397])).
% 5.75/3.90  tff(406,plain,
% 5.75/3.90      (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[405, 395])).
% 5.75/3.90  tff(407,plain,
% 5.75/3.90      (((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))) <=> ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))),
% 5.75/3.90      inference(rewrite,[status(thm)],[])).
% 5.75/3.90  tff(408,plain,
% 5.75/3.90      ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))),
% 5.75/3.90      inference(quant_inst,[status(thm)],[])).
% 5.75/3.90  tff(409,plain,
% 5.75/3.90      ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[408, 407])).
% 5.75/3.90  tff(410,plain,
% 5.75/3.90      (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))),
% 5.75/3.90      inference(unit_resolution,[status(thm)],[409, 406, 138])).
% 5.75/3.90  tff(411,plain,
% 5.75/3.90      (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)),
% 5.75/3.90      inference(tautology,[status(thm)],[])).
% 5.75/3.90  tff(412,plain,
% 5.75/3.90      (occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)),
% 5.75/3.90      inference(unit_resolution,[status(thm)],[411, 410])).
% 5.75/3.90  tff(413,plain,
% 5.75/3.90      (occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[412, 393])).
% 5.75/3.90  tff(414,plain,
% 5.75/3.90      (^[X31: $i, X32: $i, X33: $i] : rewrite((![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) <=> ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)) | ![X34: $i] : (~min_precedes(X32, X34, X33))))),
% 5.75/3.90      inference(bind,[status(th)],[])).
% 5.75/3.90  tff(415,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) <=> ![X31: $i, X32: $i, X33: $i] : ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)) | ![X34: $i] : (~min_precedes(X32, X34, X33)))),
% 5.75/3.90      inference(quant_intro,[status(thm)],[414])).
% 5.75/3.90  tff(416,plain,
% 5.75/3.90      (^[X31: $i, X32: $i, X33: $i] : refl((![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) <=> (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))))),
% 5.75/3.90      inference(bind,[status(th)],[])).
% 5.75/3.90  tff(417,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) <=> ![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))),
% 5.75/3.90      inference(quant_intro,[status(thm)],[416])).
% 5.75/3.90  tff(418,plain,
% 5.75/3.90      (^[X31: $i, X32: $i, X33: $i] : rewrite((![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) <=> (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))))),
% 5.75/3.90      inference(bind,[status(th)],[])).
% 5.75/3.90  tff(419,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) <=> ![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))),
% 5.75/3.90      inference(quant_intro,[status(thm)],[418])).
% 5.75/3.90  tff(420,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) <=> ![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))),
% 5.75/3.90      inference(transitivity,[status(thm)],[419, 417])).
% 5.75/3.90  tff(421,plain,
% 5.75/3.90      (^[X31: $i, X32: $i, X33: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X31, X33) & leaf_occ(X32, X31)) <=> (~((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))))), ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) <=> (~(~((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))))))), rewrite((~(~((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))))) <=> ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))), ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) <=> ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))))), (((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | ![X34: $i] : (~min_precedes(X32, X34, X33))) <=> (((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) | ![X34: $i] : (~min_precedes(X32, X34, X33))))), rewrite((((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31))) | ![X34: $i] : (~min_precedes(X32, X34, X33))) <=> (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))), (((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | ![X34: $i] : (~min_precedes(X32, X34, X33))) <=> (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))))),
% 5.75/3.90      inference(bind,[status(th)],[])).
% 5.75/3.90  tff(422,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | ![X34: $i] : (~min_precedes(X32, X34, X33))) <=> ![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))),
% 5.75/3.90      inference(quant_intro,[status(thm)],[421])).
% 5.75/3.90  tff(423,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33))) <=> ![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33)))),
% 5.75/3.90      inference(rewrite,[status(thm)],[])).
% 5.75/3.90  tff(424,plain,
% 5.75/3.90      (^[X31: $i, X32: $i, X33: $i] : trans(monotonicity(rewrite((~?[X34: $i] : min_precedes(X32, X34, X33)) <=> (~?[X34: $i] : min_precedes(X32, X34, X33))), (((occurrence_of(X31, X33) & leaf_occ(X32, X31)) => (~?[X34: $i] : min_precedes(X32, X34, X33))) <=> ((occurrence_of(X31, X33) & leaf_occ(X32, X31)) => (~?[X34: $i] : min_precedes(X32, X34, X33))))), rewrite(((occurrence_of(X31, X33) & leaf_occ(X32, X31)) => (~?[X34: $i] : min_precedes(X32, X34, X33))) <=> ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33)))), (((occurrence_of(X31, X33) & leaf_occ(X32, X31)) => (~?[X34: $i] : min_precedes(X32, X34, X33))) <=> ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33)))))),
% 5.75/3.90      inference(bind,[status(th)],[])).
% 5.75/3.90  tff(425,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : ((occurrence_of(X31, X33) & leaf_occ(X32, X31)) => (~?[X34: $i] : min_precedes(X32, X34, X33))) <=> ![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33)))),
% 5.75/3.90      inference(quant_intro,[status(thm)],[424])).
% 5.75/3.90  tff(426,axiom,(![X31: $i, X32: $i, X33: $i] : ((occurrence_of(X31, X33) & leaf_occ(X32, X31)) => (~?[X34: $i] : min_precedes(X32, X34, X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_09')).
% 5.75/3.90  tff(427,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[426, 425])).
% 5.75/3.90  tff(428,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[427, 423])).
% 5.75/3.90  tff(429,plain,(
% 5.75/3.90      ![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | ![X34: $i] : (~min_precedes(X32, X34, X33)))),
% 5.75/3.90      inference(skolemize,[status(sab)],[428])).
% 5.75/3.90  tff(430,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[429, 422])).
% 5.75/3.90  tff(431,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[430, 420])).
% 5.75/3.90  tff(432,plain,
% 5.75/3.90      (![X31: $i, X32: $i, X33: $i] : ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)) | ![X34: $i] : (~min_precedes(X32, X34, X33)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[431, 415])).
% 5.75/3.90  tff(433,plain,
% 5.75/3.90      (((~![X31: $i, X32: $i, X33: $i] : ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)) | ![X34: $i] : (~min_precedes(X32, X34, X33)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | ![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15))))) <=> ((~![X31: $i, X32: $i, X33: $i] : ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)) | ![X34: $i] : (~min_precedes(X32, X34, X33)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | ![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15))))),
% 5.75/3.90      inference(rewrite,[status(thm)],[])).
% 5.75/3.90  tff(434,plain,
% 5.75/3.90      ((~![X31: $i, X32: $i, X33: $i] : ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)) | ![X34: $i] : (~min_precedes(X32, X34, X33)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | ![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15))))),
% 5.75/3.90      inference(quant_inst,[status(thm)],[])).
% 5.75/3.90  tff(435,plain,
% 5.75/3.90      ((~![X31: $i, X32: $i, X33: $i] : ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)) | ![X34: $i] : (~min_precedes(X32, X34, X33)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | ![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[434, 433])).
% 5.75/3.90  tff(436,plain,
% 5.75/3.90      ($false),
% 5.75/3.90      inference(unit_resolution,[status(thm)],[435, 432, 413, 391, 390])).
% 5.75/3.90  tff(437,plain,(~leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))), inference(lemma,lemma(discharge,[]))).
% 5.75/3.90  tff(438,plain,
% 5.75/3.90      (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))) | subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))),
% 5.75/3.90      inference(tautology,[status(thm)],[])).
% 5.75/3.90  tff(439,plain,
% 5.75/3.90      (subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))),
% 5.75/3.90      inference(unit_resolution,[status(thm)],[438, 410])).
% 5.75/3.90  tff(440,plain,
% 5.75/3.90      (^[X75: $i, X76: $i, X77: $i] : refl(((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75))))) <=> ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75))))))),
% 5.75/3.90      inference(bind,[status(th)],[])).
% 5.75/3.90  tff(441,plain,
% 5.75/3.90      (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75))))) <=> ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 5.75/3.90      inference(quant_intro,[status(thm)],[440])).
% 5.75/3.90  tff(442,plain,
% 5.75/3.90      (^[X75: $i, X76: $i, X77: $i] : rewrite(((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76))) <=> ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75))))))),
% 5.75/3.90      inference(bind,[status(th)],[])).
% 5.75/3.90  tff(443,plain,
% 5.75/3.90      (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76))) <=> ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 5.75/3.90      inference(quant_intro,[status(thm)],[442])).
% 5.75/3.90  tff(444,plain,
% 5.75/3.90      (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76))) <=> ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 5.75/3.90      inference(rewrite,[status(thm)],[])).
% 5.75/3.90  tff(445,plain,
% 5.75/3.90      (^[X75: $i, X76: $i, X77: $i] : rewrite((next_subocc(X75, X76, X77) => (arboreal(X75) & arboreal(X76))) <=> ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76))))),
% 5.75/3.90      inference(bind,[status(th)],[])).
% 5.75/3.90  tff(446,plain,
% 5.75/3.90      (![X75: $i, X76: $i, X77: $i] : (next_subocc(X75, X76, X77) => (arboreal(X75) & arboreal(X76))) <=> ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 5.75/3.90      inference(quant_intro,[status(thm)],[445])).
% 5.75/3.90  tff(447,axiom,(![X75: $i, X76: $i, X77: $i] : (next_subocc(X75, X76, X77) => (arboreal(X75) & arboreal(X76)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_25')).
% 5.75/3.90  tff(448,plain,
% 5.75/3.90      (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[447, 446])).
% 5.75/3.90  tff(449,plain,
% 5.75/3.90      (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[448, 444])).
% 5.75/3.90  tff(450,plain,(
% 5.75/3.90      ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 5.75/3.90      inference(skolemize,[status(sab)],[449])).
% 5.75/3.90  tff(451,plain,
% 5.75/3.90      (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[450, 443])).
% 5.75/3.90  tff(452,plain,
% 5.75/3.90      (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[451, 441])).
% 5.75/3.90  tff(453,plain,
% 5.75/3.90      (((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~arboreal(tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))))))) <=> ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~arboreal(tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))))))),
% 5.75/3.90      inference(rewrite,[status(thm)],[])).
% 5.75/3.90  tff(454,plain,
% 5.75/3.90      ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | ((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~arboreal(tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))))))),
% 5.75/3.90      inference(quant_inst,[status(thm)],[])).
% 5.75/3.90  tff(455,plain,
% 5.75/3.90      ((~![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~((~arboreal(tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16)))))),
% 5.75/3.90      inference(modus_ponens,[status(thm)],[454, 453])).
% 5.75/3.90  tff(456,plain,
% 5.75/3.90      (~((~arboreal(tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))))),
% 5.75/3.90      inference(unit_resolution,[status(thm)],[455, 452, 133])).
% 5.75/3.90  tff(457,plain,
% 5.75/3.90      (((~arboreal(tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16)))) | arboreal(tptp_fun_X104_13(X107!15, X106!16))),
% 5.75/3.90      inference(tautology,[status(thm)],[])).
% 5.75/3.90  tff(458,plain,
% 5.75/3.90      (arboreal(tptp_fun_X104_13(X107!15, X106!16))),
% 5.75/3.90      inference(unit_resolution,[status(thm)],[457, 456])).
% 5.75/3.90  tff(459,plain,
% 5.75/3.90      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | ((~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))),
% 5.75/3.90      inference(rewrite,[status(thm)],[])).
% 5.75/3.90  tff(460,plain,
% 5.75/3.90      ((leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))))) <=> ((~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))),
% 5.75/3.91      inference(rewrite,[status(thm)],[])).
% 5.75/3.91  tff(461,plain,
% 5.75/3.91      ((~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))) <=> (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))))),
% 5.75/3.91      inference(rewrite,[status(thm)],[])).
% 5.75/3.91  tff(462,plain,
% 5.75/3.91      ((leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))))) <=> (leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))),
% 5.75/3.91      inference(monotonicity,[status(thm)],[461])).
% 5.75/3.91  tff(463,plain,
% 5.75/3.91      ((leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))))) <=> ((~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))),
% 5.75/3.91      inference(transitivity,[status(thm)],[462, 460])).
% 5.75/3.91  tff(464,plain,
% 5.75/3.91      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | ((~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))))))),
% 5.75/3.91      inference(monotonicity,[status(thm)],[463])).
% 5.75/3.91  tff(465,plain,
% 5.75/3.91      (((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))) <=> ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))),
% 5.75/3.91      inference(transitivity,[status(thm)],[464, 459])).
% 5.75/3.91  tff(466,plain,
% 5.75/3.91      ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))))),
% 5.75/3.92      inference(quant_inst,[status(thm)],[])).
% 5.75/3.92  tff(467,plain,
% 5.75/3.92      ((~![X101: $i, X102: $i] : (leaf_occ(X101, X102) | (~subactivity_occurrence(X101, X102)) | (~arboreal(X101)) | (~occurrence_of(X102, tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(X102, X101), tptp3)) | (~next_subocc(X101, tptp_fun_X103_14(X102, X101), tptp0)) | (~occurrence_of(tptp_fun_X104_13(X102, X101), tptp4)) | (~next_subocc(tptp_fun_X103_14(X102, X101), tptp_fun_X104_13(X102, X101), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(X102, X101), tptp1) | occurrence_of(tptp_fun_X105_12(X102, X101), tptp2))) | (~next_subocc(tptp_fun_X104_13(X102, X101), tptp_fun_X105_12(X102, X101), tptp0)) | (~leaf_occ(tptp_fun_X105_12(X102, X101), X102)))))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))))),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[466, 465])).
% 5.75/3.92  tff(468,plain,
% 5.75/3.92      (leaf_occ(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))))),
% 5.75/3.92      inference(unit_resolution,[status(thm)],[467, 121, 458, 412, 439])).
% 5.75/3.92  tff(469,plain,
% 5.75/3.92      (~((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))),
% 5.75/3.92      inference(unit_resolution,[status(thm)],[468, 437])).
% 5.75/3.92  tff(470,plain,
% 5.75/3.92      (((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))) | next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.75/3.92      inference(tautology,[status(thm)],[])).
% 5.75/3.92  tff(471,plain,
% 5.75/3.92      (next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.75/3.92      inference(unit_resolution,[status(thm)],[470, 469])).
% 5.75/3.92  tff(472,plain,
% 5.75/3.92      (next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[471, 383])).
% 5.75/3.92  tff(473,plain,
% 5.75/3.92      ((~((~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.92      inference(tautology,[status(thm)],[])).
% 5.75/3.92  tff(474,plain,
% 5.75/3.92      (~((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.75/3.92      inference(unit_resolution,[status(thm)],[473, 472, 381])).
% 5.75/3.92  tff(475,plain,
% 5.75/3.92      (((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))) | min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.75/3.92      inference(tautology,[status(thm)],[])).
% 5.75/3.92  tff(476,plain,
% 5.75/3.92      (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.75/3.92      inference(unit_resolution,[status(thm)],[475, 474])).
% 5.75/3.92  tff(477,plain,
% 5.75/3.92      (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[476, 372])).
% 5.75/3.92  tff(478,plain,
% 5.75/3.92      (((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0))))) | ![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))),
% 5.75/3.92      inference(tautology,[status(thm)],[])).
% 5.75/3.92  tff(479,plain,
% 5.75/3.92      (![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))),
% 5.75/3.92      inference(unit_resolution,[status(thm)],[478, 136])).
% 5.75/3.92  tff(480,plain,
% 5.75/3.92      (((~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))) | ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)))) <=> ((~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)))),
% 5.75/3.92      inference(rewrite,[status(thm)],[])).
% 5.75/3.92  tff(481,plain,
% 5.75/3.92      ((~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))) | ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)))),
% 5.75/3.92      inference(quant_inst,[status(thm)],[])).
% 5.75/3.92  tff(482,plain,
% 5.75/3.92      ((~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X81, tptp0)))) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0))),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[481, 480])).
% 5.75/3.92  tff(483,plain,
% 5.75/3.92      ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0))),
% 5.75/3.92      inference(unit_resolution,[status(thm)],[482, 479])).
% 5.75/3.92  tff(484,plain,
% 5.75/3.92      (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 5.75/3.92      inference(unit_resolution,[status(thm)],[483, 477])).
% 5.75/3.92  tff(485,plain,
% 5.75/3.92      (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[484, 370])).
% 5.75/3.92  tff(486,plain,
% 5.75/3.92      (^[X97: $i, X98: $i, X99: $i, X100: $i] : refl((min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))) <=> (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))))),
% 5.75/3.92      inference(bind,[status(th)],[])).
% 5.75/3.92  tff(487,plain,
% 5.75/3.92      (![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))) <=> ![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))),
% 5.75/3.92      inference(quant_intro,[status(thm)],[486])).
% 5.75/3.92  tff(488,plain,
% 5.75/3.92      (^[X97: $i, X98: $i, X99: $i, X100: $i] : trans(monotonicity(trans(monotonicity(rewrite((min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99)) <=> (~((~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))))), ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) <=> (~(~((~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))))))), rewrite((~(~((~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))))) <=> ((~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))), ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) <=> ((~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))))), (((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100)) <=> (((~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))) | min_precedes(X98, X99, X100)))), rewrite((((~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99))) | min_precedes(X98, X99, X100)) <=> (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))), (((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100)) <=> (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))))),
% 5.75/3.92      inference(bind,[status(th)],[])).
% 5.75/3.92  tff(489,plain,
% 5.75/3.92      (![X97: $i, X98: $i, X99: $i, X100: $i] : ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100)) <=> ![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))),
% 5.75/3.92      inference(quant_intro,[status(thm)],[488])).
% 5.75/3.92  tff(490,plain,
% 5.75/3.92      (![X97: $i, X98: $i, X99: $i, X100: $i] : ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100)) <=> ![X97: $i, X98: $i, X99: $i, X100: $i] : ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100))),
% 5.75/3.92      inference(rewrite,[status(thm)],[])).
% 5.75/3.92  tff(491,plain,
% 5.75/3.92      (^[X97: $i, X98: $i, X99: $i, X100: $i] : trans(monotonicity(rewrite(((min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100)) & precedes(X98, X99)) <=> (min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))), ((((min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100)) & precedes(X98, X99)) => min_precedes(X98, X99, X100)) <=> ((min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99)) => min_precedes(X98, X99, X100)))), rewrite(((min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99)) => min_precedes(X98, X99, X100)) <=> ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100))), ((((min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100)) & precedes(X98, X99)) => min_precedes(X98, X99, X100)) <=> ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100))))),
% 5.75/3.92      inference(bind,[status(th)],[])).
% 5.75/3.92  tff(492,plain,
% 5.75/3.92      (![X97: $i, X98: $i, X99: $i, X100: $i] : (((min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100)) & precedes(X98, X99)) => min_precedes(X98, X99, X100)) <=> ![X97: $i, X98: $i, X99: $i, X100: $i] : ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100))),
% 5.75/3.92      inference(quant_intro,[status(thm)],[491])).
% 5.75/3.92  tff(493,axiom,(![X97: $i, X98: $i, X99: $i, X100: $i] : (((min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100)) & precedes(X98, X99)) => min_precedes(X98, X99, X100))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_31')).
% 5.75/3.92  tff(494,plain,
% 5.75/3.92      (![X97: $i, X98: $i, X99: $i, X100: $i] : ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100))),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[493, 492])).
% 5.75/3.92  tff(495,plain,
% 5.75/3.92      (![X97: $i, X98: $i, X99: $i, X100: $i] : ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100))),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[494, 490])).
% 5.75/3.92  tff(496,plain,(
% 5.75/3.92      ![X97: $i, X98: $i, X99: $i, X100: $i] : ((~(min_precedes(X97, X98, X100) & min_precedes(X97, X99, X100) & precedes(X98, X99))) | min_precedes(X98, X99, X100))),
% 5.75/3.92      inference(skolemize,[status(sab)],[495])).
% 5.75/3.92  tff(497,plain,
% 5.75/3.92      (![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[496, 489])).
% 5.75/3.92  tff(498,plain,
% 5.75/3.92      (![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))),
% 5.75/3.92      inference(modus_ponens,[status(thm)],[497, 487])).
% 5.75/3.92  tff(499,plain,
% 5.75/3.92      (((~![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))) | ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) <=> ((~![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.75/3.93      inference(rewrite,[status(thm)],[])).
% 5.75/3.93  tff(500,plain,
% 5.75/3.93      ((min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))) <=> ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.75/3.93      inference(rewrite,[status(thm)],[])).
% 5.75/3.93  tff(501,plain,
% 5.75/3.93      (((~![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))) | (min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) <=> ((~![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))) | ((~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.93      inference(monotonicity,[status(thm)],[500])).
% 5.75/3.93  tff(502,plain,
% 5.75/3.93      (((~![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))) | (min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) <=> ((~![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.75/3.93      inference(transitivity,[status(thm)],[501, 499])).
% 5.75/3.93  tff(503,plain,
% 5.75/3.93      ((~![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))) | (min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.75/3.93      inference(quant_inst,[status(thm)],[])).
% 5.75/3.93  tff(504,plain,
% 5.75/3.93      ((~![X97: $i, X98: $i, X99: $i, X100: $i] : (min_precedes(X98, X99, X100) | (~min_precedes(X97, X98, X100)) | (~min_precedes(X97, X99, X100)) | (~precedes(X98, X99)))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.75/3.93      inference(modus_ponens,[status(thm)],[503, 502])).
% 5.75/3.93  tff(505,plain,
% 5.75/3.93      (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.75/3.93      inference(unit_resolution,[status(thm)],[504, 498, 387, 476, 485])).
% 5.75/3.93  tff(506,plain,
% 5.75/3.93      ((~(precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))) | precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | ((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.75/3.93      inference(tautology,[status(thm)],[])).
% 5.75/3.93  tff(507,plain,
% 5.75/3.93      ((~(precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))) | ((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.75/3.93      inference(unit_resolution,[status(thm)],[506, 505])).
% 5.75/3.93  tff(508,plain,
% 5.75/3.93      ((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.75/3.93      inference(unit_resolution,[status(thm)],[507, 367])).
% 5.75/3.93  tff(509,plain,
% 5.75/3.93      ((~![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64)))))) | (precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))),
% 5.75/3.93      inference(quant_inst,[status(thm)],[])).
% 5.75/3.93  tff(510,plain,
% 5.75/3.93      (precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.93      inference(unit_resolution,[status(thm)],[509, 365])).
% 5.75/3.93  tff(511,plain,
% 5.75/3.93      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.94      inference(rewrite,[status(thm)],[])).
% 5.75/3.94  tff(512,plain,
% 5.75/3.94      ((~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15))))))))))) <=> (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))))))),
% 5.75/3.94      inference(rewrite,[status(thm)],[])).
% 5.75/3.94  tff(513,plain,
% 5.75/3.94      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.94      inference(monotonicity,[status(thm)],[512])).
% 5.75/3.94  tff(514,plain,
% 5.75/3.94      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.95      inference(transitivity,[status(thm)],[513, 511])).
% 5.75/3.95  tff(515,plain,
% 5.75/3.95      ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))))))),
% 5.75/3.95      inference(quant_inst,[status(thm)],[])).
% 5.75/3.95  tff(516,plain,
% 5.75/3.95      ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))))))),
% 5.75/3.95      inference(modus_ponens,[status(thm)],[515, 514])).
% 5.75/3.95  tff(517,plain,
% 5.75/3.95      (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15))))))))))),
% 5.75/3.95      inference(unit_resolution,[status(thm)],[516, 101])).
% 5.75/3.95  tff(518,plain,
% 5.75/3.95      (((~(next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))))) | ((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15))))))))),
% 5.75/3.95      inference(tautology,[status(thm)],[])).
% 5.75/3.95  tff(519,plain,
% 5.75/3.95      ((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.96      inference(unit_resolution,[status(thm)],[518, 517])).
% 5.75/3.96  tff(520,plain,
% 5.75/3.96      (next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)) <=> next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)),
% 5.75/3.96      inference(monotonicity,[status(thm)],[77])).
% 5.75/3.96  tff(521,plain,
% 5.75/3.96      (next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0) <=> next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))),
% 5.75/3.96      inference(symmetry,[status(thm)],[520])).
% 5.75/3.96  tff(522,plain,
% 5.75/3.96      (((~occurrence_of(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp3)) | (~next_subocc(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16))))) | next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)),
% 5.75/3.96      inference(tautology,[status(thm)],[])).
% 5.75/3.96  tff(523,plain,
% 5.75/3.96      (next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp0)),
% 5.75/3.96      inference(unit_resolution,[status(thm)],[522, 339])).
% 5.75/3.96  tff(524,plain,
% 5.75/3.96      (next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))),
% 5.75/3.96      inference(modus_ponens,[status(thm)],[523, 521])).
% 5.75/3.96  tff(525,plain,
% 5.75/3.96      ((~((~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15))))))))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.96      inference(tautology,[status(thm)],[])).
% 5.75/3.96  tff(526,plain,
% 5.75/3.96      (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15))))))),
% 5.75/3.96      inference(unit_resolution,[status(thm)],[525, 524, 519])).
% 5.75/3.96  tff(527,plain,
% 5.75/3.96      (((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), X81, tptp_fun_X42_4(X107!15)))))) | min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))),
% 5.75/3.96      inference(tautology,[status(thm)],[])).
% 5.75/3.96  tff(528,plain,
% 5.75/3.96      (min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))),
% 5.75/3.96      inference(unit_resolution,[status(thm)],[527, 526])).
% 5.75/3.96  tff(529,plain,
% 5.75/3.96      (^[X72: $i, X73: $i, X74: $i] : refl(((~min_precedes(X72, X73, X74)) | precedes(X72, X73)) <=> ((~min_precedes(X72, X73, X74)) | precedes(X72, X73)))),
% 5.75/3.96      inference(bind,[status(th)],[])).
% 5.75/3.96  tff(530,plain,
% 5.75/3.96      (![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73)) <=> ![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 5.75/3.96      inference(quant_intro,[status(thm)],[529])).
% 5.75/3.96  tff(531,plain,
% 5.75/3.96      (![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73)) <=> ![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 5.75/3.96      inference(rewrite,[status(thm)],[])).
% 5.75/3.96  tff(532,plain,
% 5.75/3.96      (^[X72: $i, X73: $i, X74: $i] : rewrite((min_precedes(X72, X73, X74) => precedes(X72, X73)) <=> ((~min_precedes(X72, X73, X74)) | precedes(X72, X73)))),
% 5.75/3.96      inference(bind,[status(th)],[])).
% 5.75/3.96  tff(533,plain,
% 5.75/3.96      (![X72: $i, X73: $i, X74: $i] : (min_precedes(X72, X73, X74) => precedes(X72, X73)) <=> ![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 5.75/3.96      inference(quant_intro,[status(thm)],[532])).
% 5.75/3.96  tff(534,axiom,(![X72: $i, X73: $i, X74: $i] : (min_precedes(X72, X73, X74) => precedes(X72, X73))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_24')).
% 5.75/3.96  tff(535,plain,
% 5.75/3.96      (![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 5.75/3.96      inference(modus_ponens,[status(thm)],[534, 533])).
% 5.75/3.96  tff(536,plain,
% 5.75/3.96      (![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 5.75/3.96      inference(modus_ponens,[status(thm)],[535, 531])).
% 5.75/3.96  tff(537,plain,(
% 5.75/3.96      ![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 5.75/3.96      inference(skolemize,[status(sab)],[536])).
% 5.75/3.96  tff(538,plain,
% 5.75/3.96      (![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 5.75/3.96      inference(modus_ponens,[status(thm)],[537, 530])).
% 5.75/3.96  tff(539,plain,
% 5.75/3.96      (((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | ((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))) <=> ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.75/3.96      inference(rewrite,[status(thm)],[])).
% 5.75/3.96  tff(540,plain,
% 5.75/3.96      ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | ((~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.75/3.96      inference(quant_inst,[status(thm)],[])).
% 5.75/3.96  tff(541,plain,
% 5.75/3.96      ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.75/3.96      inference(modus_ponens,[status(thm)],[540, 539])).
% 5.75/3.96  tff(542,plain,
% 5.75/3.96      (precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.75/3.96      inference(unit_resolution,[status(thm)],[541, 538, 528])).
% 5.75/3.96  tff(543,plain,
% 5.75/3.96      ((~(precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))) | (~precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.96      inference(tautology,[status(thm)],[])).
% 5.75/3.96  tff(544,plain,
% 5.75/3.96      ((~(precedes(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))) | (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.75/3.96      inference(unit_resolution,[status(thm)],[543, 542])).
% 5.75/3.96  tff(545,plain,
% 5.75/3.96      (~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.75/3.96      inference(unit_resolution,[status(thm)],[544, 510])).
% 5.75/3.96  tff(546,plain,
% 5.75/3.96      (((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X104_13(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))) | legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.75/3.96      inference(tautology,[status(thm)],[])).
% 5.75/3.96  tff(547,plain,
% 5.75/3.96      (legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.75/3.97      inference(unit_resolution,[status(thm)],[546, 545])).
% 5.75/3.97  tff(548,plain,
% 5.75/3.97      ((~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.75/3.97      inference(tautology,[status(thm)],[])).
% 5.75/3.97  tff(549,plain,
% 5.75/3.97      ((~((~legal(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.75/3.97      inference(unit_resolution,[status(thm)],[548, 547])).
% 5.75/3.97  tff(550,plain,
% 5.75/3.97      (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.75/3.97      inference(unit_resolution,[status(thm)],[549, 508])).
% 5.75/3.97  tff(551,plain,
% 5.75/3.97      (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.75/3.97      inference(modus_ponens,[status(thm)],[550, 355])).
% 5.75/3.97  tff(552,plain,
% 5.75/3.97      ((~![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64)))))) | (precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> (~((~legal(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))))),
% 5.75/3.97      inference(quant_inst,[status(thm)],[])).
% 5.75/3.97  tff(553,plain,
% 5.75/3.97      (precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> (~((~legal(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))))),
% 5.75/3.97      inference(unit_resolution,[status(thm)],[552, 365])).
% 5.75/3.97  tff(554,plain,
% 5.75/3.97      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.97      inference(rewrite,[status(thm)],[])).
% 5.75/3.97  tff(555,plain,
% 5.75/3.97      ((~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))))))))))) <=> (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))))))),
% 5.75/3.97      inference(rewrite,[status(thm)],[])).
% 5.75/3.97  tff(556,plain,
% 5.75/3.97      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.97      inference(monotonicity,[status(thm)],[555])).
% 5.75/3.97  tff(557,plain,
% 5.75/3.97      (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15)))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))))))),
% 5.75/3.98      inference(transitivity,[status(thm)],[556, 554])).
% 5.75/3.98  tff(558,plain,
% 5.75/3.98      ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15)))))))))))),
% 5.75/3.98      inference(quant_inst,[status(thm)],[])).
% 5.75/3.98  tff(559,plain,
% 5.75/3.98      ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))))))),
% 5.84/3.98      inference(modus_ponens,[status(thm)],[558, 557])).
% 5.84/3.98  tff(560,plain,
% 5.84/3.98      (~((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))))),
% 5.84/3.98      inference(unit_resolution,[status(thm)],[559, 101])).
% 5.84/3.98  tff(561,plain,
% 5.84/3.98      (((~(next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))))) | ((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))),
% 5.84/3.98      inference(tautology,[status(thm)],[])).
% 5.84/3.98  tff(562,plain,
% 5.84/3.98      ((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.84/3.98      inference(unit_resolution,[status(thm)],[561, 560])).
% 5.84/3.98  tff(563,plain,
% 5.84/3.98      (next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) <=> next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.84/3.98      inference(monotonicity,[status(thm)],[77])).
% 5.84/3.98  tff(564,plain,
% 5.84/3.98      (next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0) <=> next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.84/3.98      inference(symmetry,[status(thm)],[563])).
% 5.84/3.98  tff(565,plain,
% 5.84/3.98      (((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))) | next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.84/3.98      inference(tautology,[status(thm)],[])).
% 5.84/3.98  tff(566,plain,
% 5.84/3.98      (next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.84/3.98      inference(unit_resolution,[status(thm)],[565, 469])).
% 5.84/3.98  tff(567,plain,
% 5.84/3.98      (next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.84/3.98      inference(modus_ponens,[status(thm)],[566, 564])).
% 5.84/3.98  tff(568,plain,
% 5.84/3.98      ((~((~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))))) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))))),
% 5.84/3.98      inference(tautology,[status(thm)],[])).
% 5.84/3.98  tff(569,plain,
% 5.84/3.98      (~((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[568, 567, 562])).
% 5.84/3.99  tff(570,plain,
% 5.84/3.99      (((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))) | (~min_precedes(X81, tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))) | min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.84/3.99      inference(tautology,[status(thm)],[])).
% 5.84/3.99  tff(571,plain,
% 5.84/3.99      (min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[570, 569])).
% 5.84/3.99  tff(572,plain,
% 5.84/3.99      (((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))) <=> ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))),
% 5.84/3.99      inference(rewrite,[status(thm)],[])).
% 5.84/3.99  tff(573,plain,
% 5.84/3.99      ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | ((~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))),
% 5.84/3.99      inference(quant_inst,[status(thm)],[])).
% 5.84/3.99  tff(574,plain,
% 5.84/3.99      ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | (~min_precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/3.99      inference(modus_ponens,[status(thm)],[573, 572])).
% 5.84/3.99  tff(575,plain,
% 5.84/3.99      (precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[574, 538, 571])).
% 5.84/3.99  tff(576,plain,
% 5.84/3.99      ((~(precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> (~((~legal(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))))) | (~precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~((~legal(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))))),
% 5.84/3.99      inference(tautology,[status(thm)],[])).
% 5.84/3.99  tff(577,plain,
% 5.84/3.99      ((~(precedes(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> (~((~legal(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))))) | (~((~legal(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[576, 575])).
% 5.84/3.99  tff(578,plain,
% 5.84/3.99      (~((~legal(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[577, 553])).
% 5.84/3.99  tff(579,plain,
% 5.84/3.99      (((~legal(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))) | earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/3.99      inference(tautology,[status(thm)],[])).
% 5.84/3.99  tff(580,plain,
% 5.84/3.99      (earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[579, 578])).
% 5.84/3.99  tff(581,plain,
% 5.84/3.99      ((~![X63: $i, X64: $i] : (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64)))))) | (precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))))),
% 5.84/3.99      inference(quant_inst,[status(thm)],[])).
% 5.84/3.99  tff(582,plain,
% 5.84/3.99      (precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[581, 365])).
% 5.84/3.99  tff(583,plain,
% 5.84/3.99      ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15)))))))))))),
% 5.84/3.99      inference(quant_inst,[status(thm)],[])).
% 5.84/3.99  tff(584,plain,
% 5.84/3.99      (~((~(next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))))))))))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[583, 101])).
% 5.84/3.99  tff(585,plain,
% 5.84/3.99      (((~(next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(X107!15), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))) | (~((~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15)))))))))) | ((~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))))))))),
% 5.84/3.99      inference(tautology,[status(thm)],[])).
% 5.84/3.99  tff(586,plain,
% 5.84/3.99      ((~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15)))))))),
% 5.84/3.99      inference(unit_resolution,[status(thm)],[585, 584])).
% 5.84/3.99  tff(587,plain,
% 5.84/3.99      (next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15)) <=> next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.84/3.99      inference(monotonicity,[status(thm)],[77])).
% 5.84/3.99  tff(588,plain,
% 5.84/3.99      (next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0) <=> next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.84/4.00      inference(symmetry,[status(thm)],[587])).
% 5.84/4.00  tff(589,plain,
% 5.84/4.00      (((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))) | next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.84/4.00      inference(tautology,[status(thm)],[])).
% 5.84/4.00  tff(590,plain,
% 5.84/4.00      (next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)),
% 5.84/4.00      inference(unit_resolution,[status(thm)],[589, 469])).
% 5.84/4.00  tff(591,plain,
% 5.84/4.00      (next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.84/4.00      inference(modus_ponens,[status(thm)],[590, 588])).
% 5.84/4.00  tff(592,plain,
% 5.84/4.00      ((~((~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))))))))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15)))))))),
% 5.84/4.00      inference(tautology,[status(thm)],[])).
% 5.84/4.00  tff(593,plain,
% 5.84/4.00      (~((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15))))))),
% 5.84/4.00      inference(unit_resolution,[status(thm)],[592, 591, 586])).
% 5.84/4.00  tff(594,plain,
% 5.84/4.00      (((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), X81, tptp_fun_X42_4(X107!15)))))) | min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.84/4.00      inference(tautology,[status(thm)],[])).
% 5.84/4.00  tff(595,plain,
% 5.84/4.00      (min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))),
% 5.84/4.00      inference(unit_resolution,[status(thm)],[594, 593])).
% 5.84/4.00  tff(596,plain,
% 5.84/4.00      (((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | ((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))) <=> ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))),
% 5.84/4.00      inference(rewrite,[status(thm)],[])).
% 5.84/4.00  tff(597,plain,
% 5.84/4.00      ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | ((~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))),
% 5.84/4.00      inference(quant_inst,[status(thm)],[])).
% 5.84/4.00  tff(598,plain,
% 5.84/4.00      ((~![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))) | (~min_precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/4.00      inference(modus_ponens,[status(thm)],[597, 596])).
% 5.84/4.00  tff(599,plain,
% 5.84/4.00      (precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/4.00      inference(unit_resolution,[status(thm)],[598, 538, 595])).
% 5.84/4.00  tff(600,plain,
% 5.84/4.00      ((~(precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))))) | (~precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~((~legal(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))))),
% 5.84/4.00      inference(tautology,[status(thm)],[])).
% 5.84/4.00  tff(601,plain,
% 5.84/4.00      ((~(precedes(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) <=> (~((~legal(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))))) | (~((~legal(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))))),
% 5.84/4.00      inference(unit_resolution,[status(thm)],[600, 599])).
% 5.84/4.00  tff(602,plain,
% 5.84/4.00      (~((~legal(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))),
% 5.84/4.00      inference(unit_resolution,[status(thm)],[601, 582])).
% 5.84/4.00  tff(603,plain,
% 5.84/4.00      (((~legal(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))) | earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/4.00      inference(tautology,[status(thm)],[])).
% 5.84/4.00  tff(604,plain,
% 5.84/4.00      (earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/4.00      inference(unit_resolution,[status(thm)],[603, 602])).
% 5.84/4.00  tff(605,plain,
% 5.84/4.00      (![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95))) <=> ![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))),
% 5.84/4.00      inference(rewrite,[status(thm)],[])).
% 5.84/4.00  tff(606,plain,
% 5.84/4.00      (^[X94: $i, X95: $i, X96: $i] : trans(monotonicity(trans(monotonicity(rewrite((earlier(X94, X95) & earlier(X95, X96)) <=> (~((~earlier(X95, X96)) | (~earlier(X94, X95))))), ((~(earlier(X94, X95) & earlier(X95, X96))) <=> (~(~((~earlier(X95, X96)) | (~earlier(X94, X95))))))), rewrite((~(~((~earlier(X95, X96)) | (~earlier(X94, X95))))) <=> ((~earlier(X95, X96)) | (~earlier(X94, X95)))), ((~(earlier(X94, X95) & earlier(X95, X96))) <=> ((~earlier(X95, X96)) | (~earlier(X94, X95))))), (((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96)) <=> (((~earlier(X95, X96)) | (~earlier(X94, X95))) | earlier(X94, X96)))), rewrite((((~earlier(X95, X96)) | (~earlier(X94, X95))) | earlier(X94, X96)) <=> (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))), (((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96)) <=> (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))))),
% 5.84/4.00      inference(bind,[status(th)],[])).
% 5.84/4.00  tff(607,plain,
% 5.84/4.00      (![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96)) <=> ![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))),
% 5.84/4.00      inference(quant_intro,[status(thm)],[606])).
% 5.84/4.00  tff(608,plain,
% 5.84/4.00      (![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96)) <=> ![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96))),
% 5.84/4.00      inference(rewrite,[status(thm)],[])).
% 5.84/4.00  tff(609,plain,
% 5.84/4.00      (^[X94: $i, X95: $i, X96: $i] : rewrite(((earlier(X94, X95) & earlier(X95, X96)) => earlier(X94, X96)) <=> ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96)))),
% 5.84/4.00      inference(bind,[status(th)],[])).
% 5.84/4.00  tff(610,plain,
% 5.84/4.00      (![X94: $i, X95: $i, X96: $i] : ((earlier(X94, X95) & earlier(X95, X96)) => earlier(X94, X96)) <=> ![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96))),
% 5.84/4.00      inference(quant_intro,[status(thm)],[609])).
% 5.84/4.00  tff(611,axiom,(![X94: $i, X95: $i, X96: $i] : ((earlier(X94, X95) & earlier(X95, X96)) => earlier(X94, X96))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_30')).
% 5.84/4.00  tff(612,plain,
% 5.84/4.00      (![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96))),
% 5.84/4.00      inference(modus_ponens,[status(thm)],[611, 610])).
% 5.84/4.00  tff(613,plain,
% 5.84/4.00      (![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96))),
% 5.84/4.00      inference(modus_ponens,[status(thm)],[612, 608])).
% 5.84/4.00  tff(614,plain,(
% 5.84/4.00      ![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96))),
% 5.84/4.00      inference(skolemize,[status(sab)],[613])).
% 5.84/4.00  tff(615,plain,
% 5.84/4.00      (![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))),
% 5.84/4.00      inference(modus_ponens,[status(thm)],[614, 607])).
% 5.84/4.00  tff(616,plain,
% 5.84/4.00      (![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))),
% 5.84/4.00      inference(modus_ponens,[status(thm)],[615, 605])).
% 5.84/4.00  tff(617,plain,
% 5.84/4.00      (((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | ((~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))) <=> ((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))),
% 5.84/4.00      inference(rewrite,[status(thm)],[])).
% 5.84/4.00  tff(618,plain,
% 5.84/4.00      ((earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))) <=> ((~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))),
% 5.84/4.00      inference(rewrite,[status(thm)],[])).
% 5.84/4.00  tff(619,plain,
% 5.84/4.00      (((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | (earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))) <=> ((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | ((~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))),
% 5.84/4.00      inference(monotonicity,[status(thm)],[618])).
% 5.84/4.00  tff(620,plain,
% 5.84/4.00      (((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | (earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))) <=> ((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))))),
% 5.84/4.00      inference(transitivity,[status(thm)],[619, 617])).
% 5.84/4.00  tff(621,plain,
% 5.84/4.00      ((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | (earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))))),
% 5.84/4.01      inference(quant_inst,[status(thm)],[])).
% 5.84/4.01  tff(622,plain,
% 5.84/4.01      ((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/4.01      inference(modus_ponens,[status(thm)],[621, 620])).
% 5.84/4.01  tff(623,plain,
% 5.84/4.01      (earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 5.84/4.01      inference(unit_resolution,[status(thm)],[622, 616, 604, 580])).
% 5.84/4.01  tff(624,plain,
% 5.84/4.01      ($false),
% 5.84/4.01      inference(unit_resolution,[status(thm)],[623, 551])).
% 5.84/4.01  tff(625,plain,(~(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))), inference(lemma,lemma(discharge,[]))).
% 5.84/4.01  tff(626,assumption,(leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))), introduced(assumption)).
% 5.84/4.01  tff(627,plain,
% 5.84/4.01      (((~occurrence_of(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp3)) | (~next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~occurrence_of(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp4)) | (~next_subocc(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~(occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp1) | occurrence_of(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp2))) | (~next_subocc(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp0)) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))) | leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))),
% 5.84/4.01      inference(tautology,[status(thm)],[])).
% 5.84/4.01  tff(628,plain,
% 5.84/4.01      (leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))),
% 5.84/4.01      inference(unit_resolution,[status(thm)],[627, 469])).
% 5.84/4.01  tff(629,plain,
% 5.84/4.01      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.84/4.01      inference(rewrite,[status(thm)],[])).
% 5.84/4.01  tff(630,plain,
% 5.84/4.01      ((atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))) <=> (atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.84/4.01      inference(rewrite,[status(thm)],[])).
% 5.84/4.01  tff(631,plain,
% 5.84/4.01      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))))),
% 5.84/4.01      inference(monotonicity,[status(thm)],[630])).
% 5.84/4.01  tff(632,plain,
% 5.84/4.01      (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))))),
% 5.88/4.01      inference(transitivity,[status(thm)],[631, 629])).
% 5.88/4.01  tff(633,plain,
% 5.88/4.01      ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp_fun_X42_4(X107!15)) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))))),
% 5.88/4.01      inference(quant_inst,[status(thm)],[])).
% 5.88/4.01  tff(634,plain,
% 5.88/4.01      ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 5.88/4.01      inference(modus_ponens,[status(thm)],[633, 632])).
% 5.88/4.01  tff(635,plain,
% 5.88/4.01      ($false),
% 5.88/4.01      inference(unit_resolution,[status(thm)],[634, 285, 247, 413, 628, 626, 625])).
% 5.88/4.01  tff(636,plain,(~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))), inference(lemma,lemma(discharge,[]))).
% 5.88/4.01  tff(637,plain,
% 5.88/4.01      (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))),
% 5.88/4.01      inference(modus_ponens,[status(thm)],[636, 351])).
% 5.88/4.01  tff(638,plain,
% 5.88/4.01      (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57))))))))),
% 5.88/4.01      inference(rewrite,[status(thm)],[])).
% 5.88/4.01  tff(639,plain,
% 5.88/4.01      ((~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), X57))))))) <=> (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))))))),
% 5.88/4.01      inference(rewrite,[status(thm)],[])).
% 5.88/4.01  tff(640,plain,
% 5.88/4.01      (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57))))))))),
% 5.88/4.02      inference(monotonicity,[status(thm)],[639])).
% 5.88/4.02  tff(641,plain,
% 5.88/4.02      (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57))))))))),
% 5.88/4.02      inference(transitivity,[status(thm)],[640, 638])).
% 5.88/4.02  tff(642,plain,
% 5.88/4.02      ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)))))))),
% 5.88/4.02      inference(quant_inst,[status(thm)],[])).
% 5.88/4.02  tff(643,plain,
% 5.88/4.02      ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))))))),
% 5.88/4.02      inference(modus_ponens,[status(thm)],[642, 641])).
% 5.88/4.02  tff(644,plain,
% 5.88/4.02      (~((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57))))))),
% 5.88/4.02      inference(unit_resolution,[status(thm)],[643, 169])).
% 5.88/4.02  tff(645,plain,
% 5.88/4.02      (((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X105_12(X107!15, X106!16)))))))) | (~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))))) | (leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57))))),
% 5.88/4.02      inference(tautology,[status(thm)],[])).
% 5.88/4.02  tff(646,plain,
% 5.88/4.02      (leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))),
% 5.88/4.02      inference(unit_resolution,[status(thm)],[645, 644])).
% 5.88/4.02  tff(647,plain,
% 5.88/4.02      ((~(leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57))))) | leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))),
% 5.88/4.02      inference(tautology,[status(thm)],[])).
% 5.88/4.02  tff(648,plain,
% 5.88/4.02      (leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)) | ![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))),
% 5.88/4.02      inference(unit_resolution,[status(thm)],[647, 646])).
% 5.88/4.02  tff(649,plain,
% 5.88/4.02      (![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))),
% 5.88/4.02      inference(unit_resolution,[status(thm)],[648, 637])).
% 5.88/4.02  tff(650,plain,
% 5.88/4.02      (leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15)) <=> leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 5.88/4.02      inference(monotonicity,[status(thm)],[188])).
% 5.88/4.02  tff(651,plain,
% 5.88/4.02      (leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))) <=> leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))),
% 5.88/4.02      inference(symmetry,[status(thm)],[650])).
% 5.88/4.02  tff(652,plain,
% 5.88/4.02      (leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))),
% 5.88/4.02      inference(modus_ponens,[status(thm)],[219, 651])).
% 5.88/4.02  tff(653,plain,
% 5.88/4.02      (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0)))) | subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))),
% 5.88/4.02      inference(tautology,[status(thm)],[])).
% 5.88/4.02  tff(654,plain,
% 5.88/4.02      (subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))),
% 5.88/4.02      inference(unit_resolution,[status(thm)],[653, 410])).
% 5.88/4.02  tff(655,plain,
% 5.88/4.02      (((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | ((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))))) <=> ((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))))),
% 5.88/4.02      inference(rewrite,[status(thm)],[])).
% 5.88/4.02  tff(656,plain,
% 5.88/4.02      (((~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15)))) <=> ((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))))),
% 5.88/4.02      inference(rewrite,[status(thm)],[])).
% 5.88/4.02  tff(657,plain,
% 5.88/4.02      (((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | ((~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))))) <=> ((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | ((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15)))))),
% 5.88/4.02      inference(monotonicity,[status(thm)],[656])).
% 5.88/4.02  tff(658,plain,
% 5.88/4.02      (((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | ((~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))))) <=> ((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))))),
% 5.88/4.02      inference(transitivity,[status(thm)],[657, 655])).
% 5.88/4.02  tff(659,plain,
% 5.88/4.02      ((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | ((~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))))),
% 5.90/4.03      inference(quant_inst,[status(thm)],[])).
% 5.90/4.03  tff(660,plain,
% 5.90/4.03      ((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15)))),
% 5.90/4.03      inference(modus_ponens,[status(thm)],[659, 658])).
% 5.90/4.03  tff(661,plain,
% 5.90/4.03      ($false),
% 5.90/4.03      inference(unit_resolution,[status(thm)],[660, 654, 413, 652, 649])).
% 5.90/4.03  % SZS output end Proof
%------------------------------------------------------------------------------