%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO016+4 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:23:05 AM UTC 2025
% Result : Theorem 3.43s 3.63s
% Output : Proof 3.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO016+4 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 02:37:35 EDT 2025
% 0.11/0.33 % CPUTime :
% 3.43/3.63 % SZS status Theorem
% 3.43/3.63 % SZS output start Proof
% 3.43/3.63 tff(occurrence_of_type, type, (
% 3.43/3.63 occurrence_of: ( $i * $i ) > $o)).
% 3.43/3.63 tff(tptp_fun_X24_2_type, type, (
% 3.43/3.63 tptp_fun_X24_2: ( $i * $i * $i ) > $i)).
% 3.43/3.63 tff(tptp0_type, type, (
% 3.43/3.63 tptp0: $i)).
% 3.43/3.63 tff(tptp_fun_X104_13_type, type, (
% 3.43/3.63 tptp_fun_X104_13: ( $i * $i ) > $i)).
% 3.43/3.63 tff(tptp_fun_X106_16_type, type, (
% 3.43/3.63 tptp_fun_X106_16: $i)).
% 3.43/3.63 tff(tptp_fun_X107_15_type, type, (
% 3.43/3.63 tptp_fun_X107_15: $i)).
% 3.43/3.63 tff(tptp_fun_X105_12_type, type, (
% 3.43/3.63 tptp_fun_X105_12: ( $i * $i ) > $i)).
% 3.43/3.63 tff(subactivity_occurrence_type, type, (
% 3.43/3.63 subactivity_occurrence: ( $i * $i ) > $o)).
% 3.43/3.63 tff(leaf_type, type, (
% 3.43/3.63 leaf: ( $i * $i ) > $o)).
% 3.43/3.63 tff(leaf_occ_type, type, (
% 3.43/3.63 leaf_occ: ( $i * $i ) > $o)).
% 3.43/3.63 tff(tptp_fun_X2_0_type, type, (
% 3.43/3.63 tptp_fun_X2_0: ( $i * $i ) > $i)).
% 3.43/3.63 tff(tptp_fun_X42_4_type, type, (
% 3.43/3.63 tptp_fun_X42_4: $i > $i)).
% 3.43/3.63 tff(tptp_fun_X27_3_type, type, (
% 3.43/3.63 tptp_fun_X27_3: ( $i * $i ) > $i)).
% 3.43/3.63 tff(tptp_fun_X57_8_type, type, (
% 3.43/3.63 tptp_fun_X57_8: ( $i * $i ) > $i)).
% 3.43/3.63 tff(next_subocc_type, type, (
% 3.43/3.63 next_subocc: ( $i * $i * $i ) > $o)).
% 3.43/3.63 tff(tptp2_type, type, (
% 3.43/3.63 tptp2: $i)).
% 3.43/3.63 tff(tptp1_type, type, (
% 3.43/3.63 tptp1: $i)).
% 3.43/3.63 tff(tptp_fun_X103_14_type, type, (
% 3.43/3.63 tptp_fun_X103_14: ( $i * $i ) > $i)).
% 3.43/3.63 tff(tptp4_type, type, (
% 3.43/3.63 tptp4: $i)).
% 3.43/3.63 tff(tptp3_type, type, (
% 3.43/3.63 tptp3: $i)).
% 3.43/3.63 tff(root_type, type, (
% 3.43/3.63 root: ( $i * $i ) > $o)).
% 3.43/3.63 tff(activity_type, type, (
% 3.43/3.63 activity: $i > $o)).
% 3.43/3.63 tff(activity_occurrence_type, type, (
% 3.43/3.63 activity_occurrence: $i > $o)).
% 3.43/3.63 tff(min_precedes_type, type, (
% 3.43/3.63 min_precedes: ( $i * $i * $i ) > $o)).
% 3.43/3.63 tff(tptp_fun_X111_18_type, type, (
% 3.43/3.63 tptp_fun_X111_18: $i > $i)).
% 3.43/3.63 tff(tptp_fun_X110_17_type, type, (
% 3.43/3.63 tptp_fun_X110_17: $i > $i)).
% 3.43/3.63 tff(arboreal_type, type, (
% 3.43/3.63 arboreal: $i > $o)).
% 3.43/3.63 tff(tptp_fun_X81_11_type, type, (
% 3.43/3.63 tptp_fun_X81_11: ( $i * $i * $i ) > $i)).
% 3.43/3.63 tff(atomic_type, type, (
% 3.43/3.63 atomic: $i > $o)).
% 3.43/3.63 tff(legal_type, type, (
% 3.43/3.63 legal: $i > $o)).
% 3.43/3.63 tff(earlier_type, type, (
% 3.43/3.63 earlier: ( $i * $i ) > $o)).
% 3.43/3.63 tff(precedes_type, type, (
% 3.43/3.63 precedes: ( $i * $i ) > $o)).
% 3.43/3.63 tff(1,plain,
% 3.43/3.63 (((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))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(2,plain,
% 3.43/3.63 (^[X108: $i, X109: $i] : trans(monotonicity(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))), 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(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)))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(3,plain,
% 3.43/3.63 (![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)))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[2])).
% 3.43/3.63 tff(4,plain,
% 3.43/3.63 (((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))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[3])).
% 3.43/3.63 tff(5,plain,
% 3.43/3.63 (((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))))),
% 3.43/3.63 inference(transitivity,[status(thm)],[4, 1])).
% 3.43/3.63 tff(6,plain,
% 3.43/3.63 ((~![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)))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(7,plain,
% 3.43/3.63 ((~![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)))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(8,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/sandbox2/benchmark/theBenchmark.p','goals')).
% 3.43/3.63 tff(9,plain,
% 3.43/3.63 (~![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))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[8, 7])).
% 3.43/3.63 tff(10,plain,
% 3.43/3.63 (~![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))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[9, 6])).
% 3.43/3.63 tff(11,plain,
% 3.43/3.63 (~![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))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[10, 6])).
% 3.43/3.63 tff(12,plain,
% 3.43/3.63 (~![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))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[11, 6])).
% 3.43/3.63 tff(13,plain,
% 3.43/3.63 (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)))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[12, 5])).
% 3.43/3.63 tff(14,plain,
% 3.43/3.63 (occurrence_of(X107!15, tptp0)),
% 3.43/3.63 inference(and_elim,[status(thm)],[13])).
% 3.43/3.63 tff(15,plain,
% 3.43/3.63 (^[X12: $i, X13: $i] : refl(((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(16,plain,
% 3.43/3.63 (![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)))))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[15])).
% 3.43/3.63 tff(17,plain,
% 3.43/3.63 (^[X12: $i, X13: $i] : rewrite(((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(18,plain,
% 3.43/3.63 (![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)))))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[17])).
% 3.43/3.63 tff(19,plain,
% 3.43/3.63 (![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)))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(20,plain,
% 3.43/3.63 (^[X12: $i, X13: $i] : rewrite((occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(21,plain,
% 3.43/3.63 (![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)))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[20])).
% 3.43/3.63 tff(22,axiom,(![X12: $i, X13: $i] : (occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_03')).
% 3.43/3.63 tff(23,plain,
% 3.43/3.63 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[22, 21])).
% 3.43/3.63 tff(24,plain,
% 3.43/3.63 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[23, 19])).
% 3.43/3.63 tff(25,plain,(
% 3.43/3.63 ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 3.43/3.63 inference(skolemize,[status(sab)],[24])).
% 3.43/3.63 tff(26,plain,
% 3.43/3.63 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[25, 18])).
% 3.43/3.63 tff(27,plain,
% 3.43/3.63 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[26, 16])).
% 3.43/3.63 tff(28,plain,
% 3.43/3.63 (((~![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)))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(29,plain,
% 3.43/3.63 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(X107!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X107!15)))))),
% 3.43/3.63 inference(quant_inst,[status(thm)],[])).
% 3.43/3.63 tff(30,plain,
% 3.43/3.63 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(X107!15, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X107!15))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[29, 28])).
% 3.43/3.63 tff(31,plain,
% 3.43/3.63 (~((~activity(tptp0)) | (~activity_occurrence(X107!15)))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[30, 27, 14])).
% 3.43/3.63 tff(32,plain,
% 3.43/3.63 (((~activity(tptp0)) | (~activity_occurrence(X107!15))) | activity_occurrence(X107!15)),
% 3.43/3.63 inference(tautology,[status(thm)],[])).
% 3.43/3.63 tff(33,plain,
% 3.43/3.63 (activity_occurrence(X107!15)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[32, 31])).
% 3.43/3.63 tff(34,plain,
% 3.43/3.63 (^[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)))))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(35,plain,
% 3.43/3.63 (![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))))))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[34])).
% 3.43/3.63 tff(36,plain,
% 3.43/3.63 (^[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)))))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(37,plain,
% 3.43/3.63 (![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))))))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[36])).
% 3.43/3.63 tff(38,plain,
% 3.43/3.63 (![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)))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(39,plain,
% 3.43/3.63 (^[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))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(40,plain,
% 3.43/3.63 (![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)))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[39])).
% 3.43/3.63 tff(41,axiom,(![X41: $i] : (activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_12')).
% 3.43/3.63 tff(42,plain,
% 3.43/3.63 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[41, 40])).
% 3.43/3.63 tff(43,plain,
% 3.43/3.63 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[42, 38])).
% 3.43/3.63 tff(44,plain,(
% 3.43/3.63 ![X41: $i] : ((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41))))),
% 3.43/3.63 inference(skolemize,[status(sab)],[43])).
% 3.43/3.63 tff(45,plain,
% 3.43/3.63 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[44, 37])).
% 3.43/3.63 tff(46,plain,
% 3.43/3.63 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[45, 35])).
% 3.43/3.63 tff(47,plain,
% 3.43/3.63 (((~![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))))))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(48,plain,
% 3.43/3.63 ((~![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))))))),
% 3.43/3.63 inference(quant_inst,[status(thm)],[])).
% 3.43/3.63 tff(49,plain,
% 3.43/3.63 ((~![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)))))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[48, 47])).
% 3.43/3.63 tff(50,plain,
% 3.43/3.63 (~((~activity(tptp_fun_X42_4(X107!15))) | (~occurrence_of(X107!15, tptp_fun_X42_4(X107!15))))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[49, 46, 33])).
% 3.43/3.63 tff(51,plain,
% 3.43/3.63 (((~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))),
% 3.43/3.63 inference(tautology,[status(thm)],[])).
% 3.43/3.63 tff(52,plain,
% 3.43/3.63 (occurrence_of(X107!15, tptp_fun_X42_4(X107!15))),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[51, 50])).
% 3.43/3.63 tff(53,plain,
% 3.43/3.63 (^[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))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(54,plain,
% 3.43/3.63 (![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)))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[53])).
% 3.43/3.63 tff(55,plain,
% 3.43/3.63 (^[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)))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(56,plain,
% 3.43/3.63 (![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)))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[55])).
% 3.43/3.63 tff(57,plain,
% 3.43/3.63 (![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))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(58,plain,
% 3.43/3.63 (^[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)))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(59,plain,
% 3.43/3.63 (![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))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[58])).
% 3.43/3.63 tff(60,axiom,(![X28: $i, X29: $i, X30: $i] : ((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_08')).
% 3.43/3.63 tff(61,plain,
% 3.43/3.63 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[60, 59])).
% 3.43/3.63 tff(62,plain,
% 3.43/3.63 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[61, 57])).
% 3.43/3.63 tff(63,plain,(
% 3.43/3.63 ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 3.43/3.63 inference(skolemize,[status(sab)],[62])).
% 3.43/3.63 tff(64,plain,
% 3.43/3.63 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[63, 56])).
% 3.43/3.63 tff(65,plain,
% 3.43/3.63 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[64, 54])).
% 3.43/3.63 tff(66,plain,
% 3.43/3.63 (((~![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)))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(67,plain,
% 3.43/3.63 (((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)))),
% 3.43/3.63 inference(rewrite,[status(thm)],[])).
% 3.43/3.63 tff(68,plain,
% 3.43/3.63 (((~![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))))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[67])).
% 3.43/3.63 tff(69,plain,
% 3.43/3.63 (((~![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)))),
% 3.43/3.63 inference(transitivity,[status(thm)],[68, 66])).
% 3.43/3.63 tff(70,plain,
% 3.43/3.63 ((~![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))))),
% 3.43/3.63 inference(quant_inst,[status(thm)],[])).
% 3.43/3.63 tff(71,plain,
% 3.43/3.63 ((~![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))),
% 3.43/3.63 inference(modus_ponens,[status(thm)],[70, 69])).
% 3.43/3.63 tff(72,plain,
% 3.43/3.63 (tptp0 = tptp_fun_X42_4(X107!15)),
% 3.43/3.63 inference(unit_resolution,[status(thm)],[71, 65, 14, 52])).
% 3.43/3.63 tff(73,plain,
% 3.43/3.63 (tptp_fun_X42_4(X107!15) = tptp0),
% 3.43/3.63 inference(symmetry,[status(thm)],[72])).
% 3.43/3.63 tff(74,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)).
% 3.43/3.63 tff(75,plain,
% 3.43/3.63 (tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, 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)),
% 3.43/3.63 inference(symmetry,[status(thm)],[74])).
% 3.43/3.63 tff(76,plain,
% 3.43/3.63 (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)),
% 3.43/3.63 inference(monotonicity,[status(thm)],[75, 73])).
% 3.43/3.63 tff(77,plain,
% 3.43/3.63 (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))),
% 3.43/3.63 inference(symmetry,[status(thm)],[76])).
% 3.43/3.63 tff(78,plain,
% 3.43/3.63 ((~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)))),
% 3.43/3.63 inference(monotonicity,[status(thm)],[77])).
% 3.43/3.63 tff(79,plain,
% 3.43/3.63 (^[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)))))))))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(80,plain,
% 3.43/3.63 (![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))))))))))),
% 3.43/3.63 inference(quant_intro,[status(thm)],[79])).
% 3.43/3.63 tff(81,plain,
% 3.43/3.63 (^[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)))))))))),
% 3.43/3.63 inference(bind,[status(th)],[])).
% 3.43/3.63 tff(82,plain,
% 3.43/3.63 (![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))))))))),
% 3.43/3.64 inference(quant_intro,[status(thm)],[81])).
% 3.43/3.64 tff(83,plain,
% 3.43/3.64 (^[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)))))))))),
% 3.43/3.64 inference(bind,[status(th)],[])).
% 3.43/3.64 tff(84,plain,
% 3.43/3.64 (![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))))))))),
% 3.43/3.64 inference(quant_intro,[status(thm)],[83])).
% 3.43/3.64 tff(85,plain,
% 3.43/3.64 (![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))))))))),
% 3.43/3.64 inference(transitivity,[status(thm)],[84, 82])).
% 3.43/3.64 tff(86,plain,
% 3.43/3.64 (^[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))))))))))),
% 3.43/3.64 inference(bind,[status(th)],[])).
% 3.43/3.64 tff(87,plain,
% 3.43/3.64 (![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))))))))),
% 3.43/3.64 inference(quant_intro,[status(thm)],[86])).
% 3.43/3.64 tff(88,plain,
% 3.43/3.64 (^[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)))))),
% 3.43/3.64 inference(bind,[status(th)],[])).
% 3.43/3.64 tff(89,plain,
% 3.43/3.64 (![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))))),
% 3.43/3.64 inference(quant_intro,[status(thm)],[88])).
% 3.43/3.64 tff(90,plain,
% 3.43/3.64 (![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)))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(91,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/sandbox2/benchmark/theBenchmark.p','sos_26')).
% 3.43/3.64 tff(92,plain,
% 3.43/3.64 (![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)))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[91, 90])).
% 3.43/3.64 tff(93,plain,(
% 3.43/3.64 ![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)))))),
% 3.43/3.64 inference(skolemize,[status(sab)],[92])).
% 3.43/3.64 tff(94,plain,
% 3.43/3.64 (![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))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[93, 89])).
% 3.43/3.64 tff(95,plain,
% 3.43/3.64 (![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))))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[94, 87])).
% 3.43/3.64 tff(96,plain,
% 3.43/3.64 (![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))))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[95, 85])).
% 3.43/3.64 tff(97,plain,
% 3.43/3.64 (![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))))))))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[96, 80])).
% 3.43/3.64 tff(98,plain,
% 3.43/3.64 ((~![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))))))))))),
% 3.43/3.64 inference(quant_inst,[status(thm)],[])).
% 3.43/3.64 tff(99,plain,
% 3.43/3.64 (~((~(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)))))))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[98, 97])).
% 3.43/3.64 tff(100,plain,
% 3.43/3.64 (((~(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)))))))),
% 3.43/3.64 inference(tautology,[status(thm)],[])).
% 3.43/3.64 tff(101,plain,
% 3.43/3.64 ((~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))))))),
% 3.43/3.64 inference(unit_resolution,[status(thm)],[100, 99])).
% 3.43/3.64 tff(102,plain,
% 3.43/3.64 (~leaf_occ(X106!16, X107!15)),
% 3.43/3.64 inference(and_elim,[status(thm)],[13])).
% 3.43/3.64 tff(103,plain,
% 3.43/3.64 (arboreal(X106!16)),
% 3.43/3.64 inference(and_elim,[status(thm)],[13])).
% 3.43/3.64 tff(104,plain,
% 3.43/3.64 (subactivity_occurrence(X106!16, X107!15)),
% 3.43/3.64 inference(and_elim,[status(thm)],[13])).
% 3.43/3.64 tff(105,plain,
% 3.43/3.64 (^[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))))))),
% 3.43/3.64 inference(bind,[status(th)],[])).
% 3.43/3.64 tff(106,plain,
% 3.43/3.64 (![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)))))),
% 3.43/3.64 inference(quant_intro,[status(thm)],[105])).
% 3.43/3.64 tff(107,plain,
% 3.43/3.64 (^[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)))))))),
% 3.43/3.64 inference(bind,[status(th)],[])).
% 3.43/3.64 tff(108,plain,
% 3.43/3.64 (![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)))))),
% 3.43/3.64 inference(quant_intro,[status(thm)],[107])).
% 3.43/3.64 tff(109,plain,
% 3.43/3.64 (![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)))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(110,plain,
% 3.43/3.64 (^[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)))))),
% 3.43/3.64 inference(bind,[status(th)],[])).
% 3.43/3.64 tff(111,plain,
% 3.43/3.64 (![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)))),
% 3.43/3.64 inference(quant_intro,[status(thm)],[110])).
% 3.43/3.64 tff(112,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/sandbox2/benchmark/theBenchmark.p','sos_32')).
% 3.43/3.64 tff(113,plain,
% 3.43/3.64 (![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)))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[112, 111])).
% 3.43/3.64 tff(114,plain,
% 3.43/3.64 (![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)))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[113, 109])).
% 3.43/3.64 tff(115,plain,(
% 3.43/3.64 ![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)))),
% 3.43/3.64 inference(skolemize,[status(sab)],[114])).
% 3.43/3.64 tff(116,plain,
% 3.43/3.64 (![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)))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[115, 108])).
% 3.43/3.64 tff(117,plain,
% 3.43/3.64 (![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)))))),
% 3.43/3.64 inference(modus_ponens,[status(thm)],[116, 106])).
% 3.43/3.64 tff(118,plain,
% 3.43/3.64 (((~![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)))))),
% 3.43/3.64 inference(rewrite,[status(thm)],[])).
% 3.43/3.64 tff(119,plain,
% 3.43/3.64 ((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)))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(120,plain,
% 3.43/3.65 ((~((~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))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(121,plain,
% 3.43/3.65 ((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)))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[120])).
% 3.43/3.65 tff(122,plain,
% 3.43/3.65 ((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)))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[121, 119])).
% 3.43/3.65 tff(123,plain,
% 3.43/3.65 (((~![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))))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[122])).
% 3.43/3.65 tff(124,plain,
% 3.43/3.65 (((~![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)))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[123, 118])).
% 3.43/3.65 tff(125,plain,
% 3.43/3.65 ((~![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)))))),
% 3.43/3.65 inference(quant_inst,[status(thm)],[])).
% 3.43/3.65 tff(126,plain,
% 3.43/3.65 ((~![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))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[125, 124])).
% 3.43/3.65 tff(127,plain,
% 3.43/3.65 (~((~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)))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[126, 117, 14, 104, 103, 102])).
% 3.43/3.65 tff(128,plain,
% 3.43/3.65 (((~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)),
% 3.43/3.65 inference(tautology,[status(thm)],[])).
% 3.43/3.65 tff(129,plain,
% 3.43/3.65 (next_subocc(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[128, 127])).
% 3.43/3.65 tff(130,plain,
% 3.43/3.65 ((~((~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))))))),
% 3.43/3.65 inference(tautology,[status(thm)],[])).
% 3.43/3.65 tff(131,plain,
% 3.43/3.65 ((~((~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))))))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[130, 129])).
% 3.43/3.65 tff(132,plain,
% 3.43/3.65 (~((~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)))))),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[131, 101])).
% 3.43/3.65 tff(133,plain,
% 3.43/3.65 (((~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)),
% 3.43/3.65 inference(tautology,[status(thm)],[])).
% 3.43/3.65 tff(134,plain,
% 3.43/3.65 (min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[133, 132])).
% 3.43/3.65 tff(135,plain,
% 3.43/3.65 (^[X65: $i, X66: $i, X67: $i] : refl(((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 3.43/3.65 inference(bind,[status(th)],[])).
% 3.43/3.65 tff(136,plain,
% 3.43/3.65 (![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)))),
% 3.43/3.65 inference(quant_intro,[status(thm)],[135])).
% 3.43/3.65 tff(137,plain,
% 3.43/3.65 (![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)))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(138,plain,
% 3.43/3.65 (^[X65: $i, X66: $i, X67: $i] : rewrite((min_precedes(X65, X66, X67) => (~root(X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 3.43/3.65 inference(bind,[status(th)],[])).
% 3.43/3.65 tff(139,plain,
% 3.43/3.65 (![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)))),
% 3.43/3.65 inference(quant_intro,[status(thm)],[138])).
% 3.43/3.65 tff(140,axiom,(![X65: $i, X66: $i, X67: $i] : (min_precedes(X65, X66, X67) => (~root(X66, X67)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_22')).
% 3.43/3.65 tff(141,plain,
% 3.43/3.65 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[140, 139])).
% 3.43/3.65 tff(142,plain,
% 3.43/3.65 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[141, 137])).
% 3.43/3.65 tff(143,plain,(
% 3.43/3.65 ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.43/3.65 inference(skolemize,[status(sab)],[142])).
% 3.43/3.65 tff(144,plain,
% 3.43/3.65 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[143, 136])).
% 3.43/3.65 tff(145,plain,
% 3.43/3.65 (((~![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)))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(146,plain,
% 3.43/3.65 ((~![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)))),
% 3.43/3.65 inference(quant_inst,[status(thm)],[])).
% 3.43/3.65 tff(147,plain,
% 3.43/3.65 ((~![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))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[146, 145])).
% 3.43/3.65 tff(148,plain,
% 3.43/3.65 (~root(tptp_fun_X105_12(X107!15, X106!16), tptp0)),
% 3.43/3.65 inference(unit_resolution,[status(thm)],[147, 144, 134])).
% 3.43/3.65 tff(149,plain,
% 3.43/3.65 (~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))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[148, 78])).
% 3.43/3.65 tff(150,plain,
% 3.43/3.65 (^[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))))))))),
% 3.43/3.65 inference(bind,[status(th)],[])).
% 3.43/3.65 tff(151,plain,
% 3.43/3.65 (![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)))))))),
% 3.43/3.65 inference(quant_intro,[status(thm)],[150])).
% 3.43/3.65 tff(152,plain,
% 3.43/3.65 (^[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))))))))),
% 3.43/3.65 inference(bind,[status(th)],[])).
% 3.43/3.65 tff(153,plain,
% 3.43/3.65 (![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)))))))),
% 3.43/3.65 inference(quant_intro,[status(thm)],[152])).
% 3.43/3.65 tff(154,plain,
% 3.43/3.65 (![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)))))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[153, 151])).
% 3.43/3.65 tff(155,plain,
% 3.43/3.65 (^[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)))))))))),
% 3.43/3.65 inference(bind,[status(th)],[])).
% 3.43/3.65 tff(156,plain,
% 3.43/3.65 (![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)))))))),
% 3.43/3.65 inference(quant_intro,[status(thm)],[155])).
% 3.43/3.65 tff(157,plain,
% 3.43/3.65 (![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)))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(158,plain,
% 3.43/3.65 (^[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))))),
% 3.43/3.65 inference(bind,[status(th)],[])).
% 3.43/3.65 tff(159,plain,
% 3.43/3.65 (![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)))),
% 3.43/3.65 inference(quant_intro,[status(thm)],[158])).
% 3.43/3.65 tff(160,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/sandbox2/benchmark/theBenchmark.p','sos_18')).
% 3.43/3.65 tff(161,plain,
% 3.43/3.65 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[160, 159])).
% 3.43/3.65 tff(162,plain,
% 3.43/3.65 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[161, 157])).
% 3.43/3.65 tff(163,plain,(
% 3.43/3.65 ![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)))))),
% 3.43/3.65 inference(skolemize,[status(sab)],[162])).
% 3.43/3.65 tff(164,plain,
% 3.43/3.65 (![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)))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[163, 156])).
% 3.43/3.65 tff(165,plain,
% 3.43/3.65 (![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)))))))),
% 3.43/3.65 inference(modus_ponens,[status(thm)],[164, 154])).
% 3.43/3.65 tff(166,plain,
% 3.43/3.65 (((~![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) | ![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)) | (~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))))))))))) <=> ((~![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) | ![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)) | (~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)))))))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(167,plain,
% 3.43/3.65 ((~((~((~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) | ![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)) | (~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))))))))))),
% 3.43/3.65 inference(rewrite,[status(thm)],[])).
% 3.43/3.65 tff(168,plain,
% 3.43/3.65 (((~![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)))))))) <=> ((~![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) | ![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)) | (~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)))))))))))),
% 3.43/3.65 inference(monotonicity,[status(thm)],[167])).
% 3.43/3.65 tff(169,plain,
% 3.43/3.65 (((~![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)))))))) <=> ((~![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) | ![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)) | (~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)))))))))))),
% 3.43/3.65 inference(transitivity,[status(thm)],[168, 166])).
% 3.43/3.65 tff(170,plain,
% 3.43/3.65 ((~![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)))))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(171,plain,
% 3.43/3.66 ((~![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) | ![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)) | (~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))))))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[170, 169])).
% 3.43/3.66 tff(172,plain,
% 3.43/3.66 (~((~(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)) | (~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)))))))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[171, 165])).
% 3.43/3.66 tff(173,plain,
% 3.43/3.66 (((~(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)) | (~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))))))))) | ((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), 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)))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(174,plain,
% 3.43/3.66 ((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), 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)))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[173, 172])).
% 3.43/3.66 tff(175,plain,
% 3.43/3.66 (((~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)),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(176,plain,
% 3.43/3.66 (leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[175, 127])).
% 3.43/3.66 tff(177,plain,
% 3.43/3.66 ((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), 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)))) | (~occurrence_of(X107!15, 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)) | (~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))))))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(178,plain,
% 3.43/3.66 ((~((~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), X107!15)) | (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), 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)))) | (~occurrence_of(X107!15, 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)) | (~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))))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[177, 176])).
% 3.43/3.66 tff(179,plain,
% 3.43/3.66 (~((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), 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)))) | (~occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[178, 174])).
% 3.43/3.66 tff(180,plain,
% 3.43/3.66 (((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), 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)))) | (~occurrence_of(X107!15, 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)))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(181,plain,
% 3.43/3.66 (occurrence_of(X107!15, tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[180, 179])).
% 3.43/3.66 tff(182,plain,
% 3.43/3.66 (((~![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)))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(183,plain,
% 3.43/3.66 (((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)))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(184,plain,
% 3.43/3.66 (((~![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))))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[183])).
% 3.43/3.66 tff(185,plain,
% 3.43/3.66 (((~![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)))),
% 3.43/3.66 inference(transitivity,[status(thm)],[184, 182])).
% 3.43/3.66 tff(186,plain,
% 3.43/3.66 ((~![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))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(187,plain,
% 3.43/3.66 ((~![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))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[186, 185])).
% 3.43/3.66 tff(188,plain,
% 3.43/3.66 (tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)) = tptp_fun_X42_4(X107!15)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[187, 65, 52, 181])).
% 3.43/3.66 tff(189,plain,
% 3.43/3.66 (tptp_fun_X42_4(X107!15) = tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))),
% 3.43/3.66 inference(symmetry,[status(thm)],[188])).
% 3.43/3.66 tff(190,plain,
% 3.43/3.66 (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)))),
% 3.43/3.66 inference(monotonicity,[status(thm)],[189])).
% 3.43/3.66 tff(191,plain,
% 3.43/3.66 (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))),
% 3.43/3.66 inference(symmetry,[status(thm)],[190])).
% 3.43/3.66 tff(192,plain,
% 3.43/3.66 (^[X51: $i, X52: $i] : refl(((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(193,plain,
% 3.43/3.66 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[192])).
% 3.43/3.66 tff(194,plain,
% 3.43/3.66 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(195,plain,
% 3.43/3.66 (^[X51: $i, X52: $i] : rewrite((occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(196,plain,
% 3.43/3.66 (![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[195])).
% 3.43/3.66 tff(197,axiom,(![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_16')).
% 3.43/3.66 tff(198,plain,
% 3.43/3.66 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[197, 196])).
% 3.43/3.66 tff(199,plain,
% 3.43/3.66 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[198, 194])).
% 3.43/3.66 tff(200,plain,(
% 3.43/3.66 ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.43/3.66 inference(skolemize,[status(sab)],[199])).
% 3.43/3.66 tff(201,plain,
% 3.43/3.66 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[200, 193])).
% 3.43/3.66 tff(202,plain,
% 3.43/3.66 (((~![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)))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(203,plain,
% 3.43/3.66 ((~![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)))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(204,plain,
% 3.43/3.66 ((~![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))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[203, 202])).
% 3.43/3.66 tff(205,plain,
% 3.43/3.66 (arboreal(X107!15) <=> atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[204, 201, 181])).
% 3.43/3.66 tff(206,plain,
% 3.43/3.66 (((~![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)))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(207,plain,
% 3.43/3.66 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(X107!15, tptp0)) | (arboreal(X107!15) <=> atomic(tptp0)))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(208,plain,
% 3.43/3.66 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(X107!15, tptp0)) | (arboreal(X107!15) <=> atomic(tptp0))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[207, 206])).
% 3.43/3.66 tff(209,plain,
% 3.43/3.66 (arboreal(X107!15) <=> atomic(tptp0)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[208, 201, 14])).
% 3.43/3.66 tff(210,plain,
% 3.43/3.66 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(211,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 3.43/3.66 tff(212,plain,
% 3.43/3.66 (~atomic(tptp0)),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[211, 210])).
% 3.43/3.66 tff(213,plain,
% 3.43/3.66 ((~(arboreal(X107!15) <=> atomic(tptp0))) | (~arboreal(X107!15)) | atomic(tptp0)),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(214,plain,
% 3.43/3.66 ((~(arboreal(X107!15) <=> atomic(tptp0))) | (~arboreal(X107!15))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[213, 212])).
% 3.43/3.66 tff(215,plain,
% 3.43/3.66 (~arboreal(X107!15)),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[214, 209])).
% 3.43/3.66 tff(216,plain,
% 3.43/3.66 ((~(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))))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(217,plain,
% 3.43/3.66 ((~(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))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[216, 215])).
% 3.43/3.66 tff(218,plain,
% 3.43/3.66 (~atomic(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[217, 205])).
% 3.43/3.66 tff(219,plain,
% 3.43/3.66 (((~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), 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)))) | (~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)))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(220,plain,
% 3.43/3.66 (leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[219, 179])).
% 3.43/3.66 tff(221,plain,
% 3.43/3.66 (^[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)))))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(222,plain,
% 3.43/3.66 (![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))))))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[221])).
% 3.43/3.66 tff(223,plain,
% 3.43/3.66 (^[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))))))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(224,plain,
% 3.43/3.66 (![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))))))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[223])).
% 3.43/3.66 tff(225,plain,
% 3.43/3.66 (![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)))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(226,plain,
% 3.43/3.66 (^[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))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(227,plain,
% 3.43/3.66 (![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)))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[226])).
% 3.43/3.66 tff(228,axiom,(![X25: $i, X26: $i] : ((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 3.43/3.66 tff(229,plain,
% 3.43/3.66 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[228, 227])).
% 3.43/3.66 tff(230,plain,
% 3.43/3.66 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[229, 225])).
% 3.43/3.66 tff(231,plain,(
% 3.43/3.66 ![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))))),
% 3.43/3.66 inference(skolemize,[status(sab)],[230])).
% 3.43/3.66 tff(232,plain,
% 3.43/3.66 (![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))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[231, 224])).
% 3.43/3.66 tff(233,plain,
% 3.43/3.66 (![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))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[232, 222])).
% 3.43/3.66 tff(234,plain,
% 3.43/3.66 (((~![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)))))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(235,plain,
% 3.43/3.66 ((~![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)))))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(236,plain,
% 3.43/3.66 ((~![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))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[235, 234])).
% 3.43/3.66 tff(237,plain,
% 3.43/3.66 (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))))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[236, 233, 220])).
% 3.43/3.66 tff(238,plain,
% 3.43/3.66 (~((~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)))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[237, 218])).
% 3.43/3.66 tff(239,plain,
% 3.43/3.66 (((~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)))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(240,plain,
% 3.43/3.66 (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)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[239, 238])).
% 3.43/3.66 tff(241,plain,
% 3.43/3.66 (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))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[240, 191])).
% 3.43/3.66 tff(242,plain,
% 3.43/3.66 (((~![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))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(243,plain,
% 3.43/3.66 ((~![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))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(244,plain,
% 3.43/3.66 ((~![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)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[243, 242])).
% 3.43/3.66 tff(245,plain,
% 3.43/3.66 (arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[244, 201, 52])).
% 3.43/3.66 tff(246,plain,
% 3.43/3.66 ((~(arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15)))) | arboreal(X107!15) | (~atomic(tptp_fun_X42_4(X107!15)))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(247,plain,
% 3.43/3.66 ((~(arboreal(X107!15) <=> atomic(tptp_fun_X42_4(X107!15)))) | (~atomic(tptp_fun_X42_4(X107!15)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[246, 215])).
% 3.43/3.66 tff(248,plain,
% 3.43/3.66 (~atomic(tptp_fun_X42_4(X107!15))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[247, 245])).
% 3.43/3.66 tff(249,plain,
% 3.43/3.66 (^[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))))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(250,plain,
% 3.43/3.66 (![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)))))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[249])).
% 3.43/3.66 tff(251,plain,
% 3.43/3.66 (^[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)))))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(252,plain,
% 3.43/3.66 (![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)))))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[251])).
% 3.43/3.66 tff(253,plain,
% 3.43/3.66 (![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)))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(254,plain,
% 3.43/3.66 (^[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))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(255,plain,
% 3.43/3.66 (![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)))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[254])).
% 3.43/3.66 tff(256,axiom,(![X0: $i, X1: $i] : ((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos')).
% 3.43/3.66 tff(257,plain,
% 3.43/3.66 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[256, 255])).
% 3.43/3.66 tff(258,plain,
% 3.43/3.66 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[257, 253])).
% 3.43/3.66 tff(259,plain,(
% 3.43/3.66 ![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)))),
% 3.43/3.66 inference(skolemize,[status(sab)],[258])).
% 3.43/3.66 tff(260,plain,
% 3.43/3.66 (![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)))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[259, 252])).
% 3.43/3.66 tff(261,plain,
% 3.43/3.66 (![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)))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[260, 250])).
% 3.43/3.66 tff(262,plain,
% 3.43/3.66 (((~![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)))))))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(263,plain,
% 3.43/3.66 ((~![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)))))))),
% 3.43/3.66 inference(quant_inst,[status(thm)],[])).
% 3.43/3.66 tff(264,plain,
% 3.43/3.66 ((~![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))))))),
% 3.43/3.66 inference(modus_ponens,[status(thm)],[263, 262])).
% 3.43/3.66 tff(265,plain,
% 3.43/3.66 ((~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))))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[264, 261, 248])).
% 3.43/3.66 tff(266,plain,
% 3.43/3.66 (~((~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)))))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[265, 241])).
% 3.43/3.66 tff(267,plain,
% 3.43/3.66 (((~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))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(268,plain,
% 3.43/3.66 (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))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[267, 266])).
% 3.43/3.66 tff(269,plain,
% 3.43/3.66 ($false),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[268, 149])).
% 3.43/3.66 tff(270,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,[]))).
% 3.43/3.66 tff(271,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)).
% 3.43/3.66 tff(272,plain,
% 3.43/3.66 (((~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)))),
% 3.43/3.66 inference(tautology,[status(thm)],[])).
% 3.43/3.66 tff(273,plain,
% 3.43/3.66 (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)))),
% 3.43/3.66 inference(unit_resolution,[status(thm)],[272, 238])).
% 3.43/3.66 tff(274,plain,
% 3.43/3.66 (^[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))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(275,plain,
% 3.43/3.66 (![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)))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[274])).
% 3.43/3.66 tff(276,plain,
% 3.43/3.66 (^[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)))))),
% 3.43/3.66 inference(bind,[status(th)],[])).
% 3.43/3.66 tff(277,plain,
% 3.43/3.66 (![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)))),
% 3.43/3.66 inference(quant_intro,[status(thm)],[276])).
% 3.43/3.66 tff(278,plain,
% 3.43/3.66 (![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))),
% 3.43/3.66 inference(rewrite,[status(thm)],[])).
% 3.43/3.66 tff(279,plain,
% 3.43/3.66 (^[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))))),
% 3.43/3.67 inference(bind,[status(th)],[])).
% 3.43/3.67 tff(280,plain,
% 3.43/3.67 (![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))),
% 3.43/3.67 inference(quant_intro,[status(thm)],[279])).
% 3.43/3.67 tff(281,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/sandbox2/benchmark/theBenchmark.p','sos_28')).
% 3.43/3.67 tff(282,plain,
% 3.43/3.67 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[281, 280])).
% 3.43/3.67 tff(283,plain,
% 3.43/3.67 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[282, 278])).
% 3.43/3.67 tff(284,plain,(
% 3.43/3.67 ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 3.43/3.67 inference(skolemize,[status(sab)],[283])).
% 3.43/3.67 tff(285,plain,
% 3.43/3.67 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[284, 277])).
% 3.43/3.67 tff(286,plain,
% 3.43/3.67 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[285, 275])).
% 3.43/3.67 tff(287,plain,
% 3.43/3.67 (((~![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))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(288,plain,
% 3.43/3.67 ((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))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(289,plain,
% 3.43/3.67 (((~![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)))))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[288])).
% 3.43/3.67 tff(290,plain,
% 3.43/3.67 (((~![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))))),
% 3.43/3.67 inference(transitivity,[status(thm)],[289, 287])).
% 3.43/3.67 tff(291,plain,
% 3.43/3.67 ((~![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)))))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(292,plain,
% 3.43/3.67 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~leaf_occ(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (~occurrence_of(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)), tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)))) | (tptp_fun_X105_12(X107!15, X106!16) = tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[291, 290])).
% 3.43/3.67 tff(293,plain,
% 3.43/3.67 ($false),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[292, 286, 248, 273, 241, 271, 270])).
% 3.43/3.67 tff(294,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,[]))).
% 3.43/3.67 tff(295,plain,
% 3.43/3.67 (^[X53: $i, X54: $i] : refl((legal(X53) | (~root(X53, X54))) <=> (legal(X53) | (~root(X53, X54))))),
% 3.43/3.67 inference(bind,[status(th)],[])).
% 3.43/3.67 tff(296,plain,
% 3.43/3.67 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.43/3.67 inference(quant_intro,[status(thm)],[295])).
% 3.43/3.67 tff(297,plain,
% 3.43/3.67 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(298,plain,
% 3.43/3.67 (^[X53: $i, X54: $i] : rewrite((root(X53, X54) => legal(X53)) <=> (legal(X53) | (~root(X53, X54))))),
% 3.43/3.67 inference(bind,[status(th)],[])).
% 3.43/3.67 tff(299,plain,
% 3.43/3.67 (![X53: $i, X54: $i] : (root(X53, X54) => legal(X53)) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.43/3.67 inference(quant_intro,[status(thm)],[298])).
% 3.43/3.67 tff(300,axiom,(![X53: $i, X54: $i] : (root(X53, X54) => legal(X53))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_17')).
% 3.43/3.67 tff(301,plain,
% 3.43/3.67 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[300, 299])).
% 3.43/3.67 tff(302,plain,
% 3.43/3.67 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[301, 297])).
% 3.43/3.67 tff(303,plain,(
% 3.43/3.67 ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.43/3.67 inference(skolemize,[status(sab)],[302])).
% 3.43/3.67 tff(304,plain,
% 3.43/3.67 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[303, 296])).
% 3.43/3.67 tff(305,plain,
% 3.43/3.67 (((~![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))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(306,plain,
% 3.43/3.67 ((~![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))))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(307,plain,
% 3.43/3.67 ((~![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)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[306, 305])).
% 3.43/3.67 tff(308,plain,
% 3.43/3.67 (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)))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[307, 304, 268])).
% 3.43/3.67 tff(309,plain,
% 3.43/3.67 (^[X43: $i] : refl((arboreal(X43) | (~legal(X43))) <=> (arboreal(X43) | (~legal(X43))))),
% 3.43/3.67 inference(bind,[status(th)],[])).
% 3.43/3.67 tff(310,plain,
% 3.43/3.67 (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.43/3.67 inference(quant_intro,[status(thm)],[309])).
% 3.43/3.67 tff(311,plain,
% 3.43/3.67 (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(312,plain,
% 3.43/3.67 (^[X43: $i] : rewrite((legal(X43) => arboreal(X43)) <=> (arboreal(X43) | (~legal(X43))))),
% 3.43/3.67 inference(bind,[status(th)],[])).
% 3.43/3.67 tff(313,plain,
% 3.43/3.67 (![X43: $i] : (legal(X43) => arboreal(X43)) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.43/3.67 inference(quant_intro,[status(thm)],[312])).
% 3.43/3.67 tff(314,axiom,(![X43: $i] : (legal(X43) => arboreal(X43))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 3.43/3.67 tff(315,plain,
% 3.43/3.67 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[314, 313])).
% 3.43/3.67 tff(316,plain,
% 3.43/3.67 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[315, 311])).
% 3.43/3.67 tff(317,plain,(
% 3.43/3.67 ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.43/3.67 inference(skolemize,[status(sab)],[316])).
% 3.43/3.67 tff(318,plain,
% 3.43/3.67 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[317, 310])).
% 3.43/3.67 tff(319,plain,
% 3.43/3.67 (((~![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)))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(320,plain,
% 3.43/3.67 ((~![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)))))),
% 3.43/3.67 inference(quant_inst,[status(thm)],[])).
% 3.43/3.67 tff(321,plain,
% 3.43/3.67 ((~![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))))),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[320, 319])).
% 3.43/3.67 tff(322,plain,
% 3.43/3.67 (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)))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[321, 318, 308])).
% 3.43/3.67 tff(323,plain,
% 3.43/3.67 (tptp0 = tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16))),
% 3.43/3.67 inference(transitivity,[status(thm)],[72, 189])).
% 3.43/3.67 tff(324,plain,
% 3.43/3.67 (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)))),
% 3.43/3.67 inference(monotonicity,[status(thm)],[323])).
% 3.43/3.67 tff(325,plain,
% 3.43/3.67 (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)),
% 3.43/3.67 inference(symmetry,[status(thm)],[324])).
% 3.43/3.67 tff(326,plain,
% 3.43/3.67 (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)),
% 3.43/3.67 inference(modus_ponens,[status(thm)],[240, 325])).
% 3.43/3.67 tff(327,plain,
% 3.43/3.67 (((~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)))),
% 3.43/3.67 inference(tautology,[status(thm)],[])).
% 3.43/3.67 tff(328,plain,
% 3.43/3.67 (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)))),
% 3.43/3.67 inference(unit_resolution,[status(thm)],[327, 266])).
% 3.43/3.67 tff(329,plain,
% 3.43/3.67 (((~![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)))))))),
% 3.43/3.67 inference(rewrite,[status(thm)],[])).
% 3.43/3.67 tff(330,plain,
% 3.43/3.67 ((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)))))))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(331,plain,
% 3.43/3.68 ((~((~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))))))),
% 3.43/3.68 inference(rewrite,[status(thm)],[])).
% 3.43/3.68 tff(332,plain,
% 3.43/3.68 ((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)))))))),
% 3.51/3.68 inference(monotonicity,[status(thm)],[331])).
% 3.51/3.68 tff(333,plain,
% 3.51/3.68 ((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)))))))),
% 3.51/3.68 inference(transitivity,[status(thm)],[332, 330])).
% 3.51/3.68 tff(334,plain,
% 3.51/3.68 (((~![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))))))))),
% 3.51/3.69 inference(monotonicity,[status(thm)],[333])).
% 3.51/3.69 tff(335,plain,
% 3.51/3.69 (((~![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)))))))),
% 3.51/3.69 inference(transitivity,[status(thm)],[334, 329])).
% 3.51/3.69 tff(336,plain,
% 3.51/3.69 ((~![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)))))))),
% 3.51/3.69 inference(quant_inst,[status(thm)],[])).
% 3.51/3.69 tff(337,plain,
% 3.51/3.69 ((~![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))))))),
% 3.51/3.69 inference(modus_ponens,[status(thm)],[336, 335])).
% 3.51/3.69 tff(338,plain,
% 3.51/3.69 (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))))))),
% 3.51/3.69 inference(unit_resolution,[status(thm)],[337, 117, 328])).
% 3.51/3.69 tff(339,plain,
% 3.51/3.69 (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))))))),
% 3.51/3.69 inference(unit_resolution,[status(thm)],[338, 326, 322])).
% 3.51/3.69 tff(340,plain,
% 3.51/3.69 (~((~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)))))),
% 3.51/3.69 inference(unit_resolution,[status(thm)],[339, 294])).
% 3.51/3.69 tff(341,plain,
% 3.51/3.69 (((~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)))),
% 3.51/3.70 inference(tautology,[status(thm)],[])).
% 3.51/3.70 tff(342,plain,
% 3.51/3.70 (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)))),
% 3.51/3.70 inference(unit_resolution,[status(thm)],[341, 340])).
% 3.51/3.70 tff(343,plain,
% 3.51/3.70 (((~![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)))))),
% 3.51/3.70 inference(rewrite,[status(thm)],[])).
% 3.51/3.70 tff(344,plain,
% 3.51/3.70 ((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)))))),
% 3.51/3.70 inference(rewrite,[status(thm)],[])).
% 3.51/3.70 tff(345,plain,
% 3.51/3.70 (((~![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))))))),
% 3.51/3.70 inference(monotonicity,[status(thm)],[344])).
% 3.51/3.70 tff(346,plain,
% 3.51/3.70 (((~![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)))))),
% 3.51/3.70 inference(transitivity,[status(thm)],[345, 343])).
% 3.51/3.70 tff(347,plain,
% 3.51/3.70 ((~![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)))))),
% 3.51/3.70 inference(quant_inst,[status(thm)],[])).
% 3.51/3.70 tff(348,plain,
% 3.51/3.70 ((~![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))))),
% 3.51/3.70 inference(modus_ponens,[status(thm)],[347, 346])).
% 3.51/3.70 tff(349,plain,
% 3.51/3.70 (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)))),
% 3.51/3.70 inference(unit_resolution,[status(thm)],[348, 286, 248, 273, 241, 342])).
% 3.51/3.70 tff(350,plain,
% 3.51/3.70 (tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, 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)),
% 3.51/3.70 inference(symmetry,[status(thm)],[349])).
% 3.51/3.70 tff(351,plain,
% 3.51/3.70 (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))),
% 3.51/3.70 inference(monotonicity,[status(thm)],[350])).
% 3.51/3.70 tff(352,plain,
% 3.51/3.70 ((~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)))),
% 3.51/3.70 inference(monotonicity,[status(thm)],[351])).
% 3.51/3.70 tff(353,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)).
% 3.51/3.70 tff(354,plain,
% 3.51/3.70 (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))))),
% 3.51/3.70 inference(monotonicity,[status(thm)],[353])).
% 3.51/3.70 tff(355,plain,
% 3.51/3.70 (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)))),
% 3.51/3.70 inference(symmetry,[status(thm)],[354])).
% 3.51/3.70 tff(356,plain,
% 3.51/3.70 ((~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))))),
% 3.51/3.70 inference(monotonicity,[status(thm)],[355])).
% 3.51/3.70 tff(357,plain,
% 3.51/3.70 (^[X63: $i, X64: $i] : refl((~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64))) <=> (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64))))),
% 3.51/3.70 inference(bind,[status(th)],[])).
% 3.51/3.70 tff(358,plain,
% 3.51/3.70 (![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64))) <=> ![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))),
% 3.51/3.70 inference(quant_intro,[status(thm)],[357])).
% 3.51/3.70 tff(359,plain,
% 3.51/3.70 (^[X63: $i, X64: $i] : trans(trans(monotonicity(rewrite((earlier(X63, X64) & legal(X64)) <=> (~((~legal(X64)) | (~earlier(X63, X64))))), ((precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64))) <=> (precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64))))))), rewrite((precedes(X63, X64) <=> (~((~legal(X64)) | (~earlier(X63, X64))))) <=> (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))), ((precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64))) <=> (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64))))), rewrite((~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64))) <=> (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))), ((precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64))) <=> (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))))),
% 3.51/3.70 inference(bind,[status(th)],[])).
% 3.51/3.70 tff(360,plain,
% 3.51/3.70 (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64))) <=> ![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))),
% 3.51/3.70 inference(quant_intro,[status(thm)],[359])).
% 3.51/3.70 tff(361,plain,
% 3.51/3.70 (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64))) <=> ![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64)))),
% 3.51/3.70 inference(rewrite,[status(thm)],[])).
% 3.51/3.70 tff(362,axiom,(![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_21')).
% 3.51/3.70 tff(363,plain,
% 3.51/3.70 (![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64)))),
% 3.51/3.70 inference(modus_ponens,[status(thm)],[362, 361])).
% 3.51/3.70 tff(364,plain,(
% 3.51/3.70 ![X63: $i, X64: $i] : (precedes(X63, X64) <=> (earlier(X63, X64) & legal(X64)))),
% 3.51/3.70 inference(skolemize,[status(sab)],[363])).
% 3.51/3.70 tff(365,plain,
% 3.51/3.70 (![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))),
% 3.51/3.70 inference(modus_ponens,[status(thm)],[364, 360])).
% 3.51/3.70 tff(366,plain,
% 3.51/3.70 (![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))),
% 3.51/3.70 inference(modus_ponens,[status(thm)],[365, 358])).
% 3.51/3.70 tff(367,plain,
% 3.51/3.70 ((~![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))) | (~(((~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))))))),
% 3.51/3.70 inference(quant_inst,[status(thm)],[])).
% 3.51/3.70 tff(368,plain,
% 3.51/3.70 (~(((~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)))))),
% 3.51/3.70 inference(unit_resolution,[status(thm)],[367, 366])).
% 3.51/3.70 tff(369,plain,
% 3.51/3.70 (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)),
% 3.51/3.70 inference(monotonicity,[status(thm)],[350, 73])).
% 3.51/3.70 tff(370,plain,
% 3.51/3.70 (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))),
% 3.51/3.70 inference(symmetry,[status(thm)],[369])).
% 3.51/3.70 tff(371,plain,
% 3.51/3.70 ((~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)))),
% 3.51/3.70 inference(monotonicity,[status(thm)],[370])).
% 3.51/3.70 tff(372,plain,
% 3.51/3.70 (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))),
% 3.51/3.70 inference(monotonicity,[status(thm)],[72])).
% 3.51/3.70 tff(373,plain,
% 3.51/3.70 (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)),
% 3.51/3.70 inference(symmetry,[status(thm)],[372])).
% 3.51/3.70 tff(374,plain,
% 3.51/3.70 (((~![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))))))))))))),
% 3.51/3.71 inference(rewrite,[status(thm)],[])).
% 3.51/3.71 tff(375,plain,
% 3.51/3.71 ((~((~(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)))))))))))),
% 3.51/3.71 inference(rewrite,[status(thm)],[])).
% 3.51/3.71 tff(376,plain,
% 3.51/3.71 (((~![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))))))))))))),
% 3.51/3.71 inference(monotonicity,[status(thm)],[375])).
% 3.51/3.71 tff(377,plain,
% 3.51/3.71 (((~![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))))))))))))),
% 3.51/3.71 inference(transitivity,[status(thm)],[376, 374])).
% 3.51/3.71 tff(378,plain,
% 3.51/3.71 ((~![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)))))))))))),
% 3.51/3.71 inference(quant_inst,[status(thm)],[])).
% 3.51/3.71 tff(379,plain,
% 3.51/3.71 ((~![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)))))))))))),
% 3.51/3.71 inference(modus_ponens,[status(thm)],[378, 377])).
% 3.51/3.71 tff(380,plain,
% 3.51/3.71 (~((~(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))))))))))),
% 3.51/3.71 inference(unit_resolution,[status(thm)],[379, 97])).
% 3.51/3.71 tff(381,plain,
% 3.51/3.71 (((~(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))))))))),
% 3.51/3.71 inference(tautology,[status(thm)],[])).
% 3.51/3.71 tff(382,plain,
% 3.51/3.71 ((~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)))))))),
% 3.51/3.71 inference(unit_resolution,[status(thm)],[381, 380])).
% 3.51/3.71 tff(383,plain,
% 3.51/3.71 (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)),
% 3.51/3.71 inference(monotonicity,[status(thm)],[73])).
% 3.51/3.71 tff(384,plain,
% 3.51/3.71 (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))),
% 3.51/3.71 inference(symmetry,[status(thm)],[383])).
% 3.51/3.71 tff(385,assumption,(![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15)))), introduced(assumption)).
% 3.51/3.71 tff(386,plain,
% 3.51/3.71 (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)),
% 3.51/3.71 inference(monotonicity,[status(thm)],[350, 73])).
% 3.51/3.71 tff(387,plain,
% 3.51/3.71 (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))),
% 3.51/3.71 inference(symmetry,[status(thm)],[386])).
% 3.51/3.71 tff(388,plain,
% 3.51/3.71 (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))),
% 3.51/3.71 inference(modus_ponens,[status(thm)],[134, 387])).
% 3.51/3.71 tff(389,plain,
% 3.51/3.71 ((~![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15)))) | (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X42_4(X107!15)))),
% 3.51/3.71 inference(quant_inst,[status(thm)],[])).
% 3.51/3.71 tff(390,plain,
% 3.51/3.71 ($false),
% 3.51/3.71 inference(unit_resolution,[status(thm)],[389, 388, 385])).
% 3.51/3.71 tff(391,plain,(~![X34: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15)))), inference(lemma,lemma(discharge,[]))).
% 3.51/3.71 tff(392,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)).
% 3.51/3.71 tff(393,plain,
% 3.51/3.71 (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)),
% 3.51/3.71 inference(monotonicity,[status(thm)],[73])).
% 3.51/3.71 tff(394,plain,
% 3.51/3.71 (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))),
% 3.51/3.71 inference(symmetry,[status(thm)],[393])).
% 3.51/3.71 tff(395,plain,
% 3.51/3.71 (^[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)))))))),
% 3.51/3.71 inference(bind,[status(th)],[])).
% 3.51/3.71 tff(396,plain,
% 3.51/3.71 (![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))))))),
% 3.51/3.71 inference(quant_intro,[status(thm)],[395])).
% 3.51/3.71 tff(397,plain,
% 3.51/3.71 (^[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)))))))),
% 3.51/3.71 inference(bind,[status(th)],[])).
% 3.51/3.71 tff(398,plain,
% 3.51/3.71 (![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))))))),
% 3.51/3.71 inference(quant_intro,[status(thm)],[397])).
% 3.51/3.71 tff(399,plain,
% 3.51/3.71 (![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)))),
% 3.51/3.71 inference(rewrite,[status(thm)],[])).
% 3.51/3.71 tff(400,plain,
% 3.51/3.71 (^[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)))))),
% 3.51/3.71 inference(bind,[status(th)],[])).
% 3.51/3.71 tff(401,plain,
% 3.51/3.71 (![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)))),
% 3.51/3.71 inference(quant_intro,[status(thm)],[400])).
% 3.51/3.71 tff(402,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/sandbox2/benchmark/theBenchmark.p','sos_06')).
% 3.51/3.71 tff(403,plain,
% 3.51/3.71 (![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)))),
% 3.51/3.71 inference(modus_ponens,[status(thm)],[402, 401])).
% 3.51/3.71 tff(404,plain,
% 3.51/3.71 (![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)))),
% 3.51/3.71 inference(modus_ponens,[status(thm)],[403, 399])).
% 3.51/3.71 tff(405,plain,(
% 3.51/3.71 ![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))))),
% 3.51/3.71 inference(skolemize,[status(sab)],[404])).
% 3.51/3.71 tff(406,plain,
% 3.51/3.71 (![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))))))),
% 3.51/3.71 inference(modus_ponens,[status(thm)],[405, 398])).
% 3.51/3.71 tff(407,plain,
% 3.51/3.71 (![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))))))),
% 3.51/3.71 inference(modus_ponens,[status(thm)],[406, 396])).
% 3.51/3.71 tff(408,plain,
% 3.51/3.71 (((~![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))))))),
% 3.51/3.71 inference(rewrite,[status(thm)],[])).
% 3.51/3.71 tff(409,plain,
% 3.51/3.71 ((~![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))))))),
% 3.51/3.72 inference(quant_inst,[status(thm)],[])).
% 3.51/3.72 tff(410,plain,
% 3.51/3.72 ((~![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)))))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[409, 408])).
% 3.51/3.72 tff(411,plain,
% 3.51/3.72 (~((~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))))),
% 3.51/3.72 inference(unit_resolution,[status(thm)],[410, 407, 134])).
% 3.51/3.72 tff(412,plain,
% 3.51/3.72 (((~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)),
% 3.51/3.72 inference(tautology,[status(thm)],[])).
% 3.51/3.72 tff(413,plain,
% 3.51/3.72 (occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp0)),
% 3.51/3.72 inference(unit_resolution,[status(thm)],[412, 411])).
% 3.51/3.72 tff(414,plain,
% 3.51/3.72 (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))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[413, 394])).
% 3.51/3.72 tff(415,plain,
% 3.51/3.72 (^[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))))),
% 3.51/3.72 inference(bind,[status(th)],[])).
% 3.51/3.72 tff(416,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(quant_intro,[status(thm)],[415])).
% 3.51/3.72 tff(417,plain,
% 3.51/3.72 (^[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))))),
% 3.51/3.72 inference(bind,[status(th)],[])).
% 3.51/3.72 tff(418,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(quant_intro,[status(thm)],[417])).
% 3.51/3.72 tff(419,plain,
% 3.51/3.72 (^[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))))),
% 3.51/3.72 inference(bind,[status(th)],[])).
% 3.51/3.72 tff(420,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(quant_intro,[status(thm)],[419])).
% 3.51/3.72 tff(421,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(transitivity,[status(thm)],[420, 418])).
% 3.51/3.72 tff(422,plain,
% 3.51/3.72 (^[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)))))),
% 3.51/3.72 inference(bind,[status(th)],[])).
% 3.51/3.72 tff(423,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(quant_intro,[status(thm)],[422])).
% 3.51/3.72 tff(424,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(rewrite,[status(thm)],[])).
% 3.51/3.72 tff(425,plain,
% 3.51/3.72 (^[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)))))),
% 3.51/3.72 inference(bind,[status(th)],[])).
% 3.51/3.72 tff(426,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(quant_intro,[status(thm)],[425])).
% 3.51/3.72 tff(427,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/sandbox2/benchmark/theBenchmark.p','sos_09')).
% 3.51/3.72 tff(428,plain,
% 3.51/3.72 (![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33)))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[427, 426])).
% 3.51/3.72 tff(429,plain,
% 3.51/3.72 (![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | (~?[X34: $i] : min_precedes(X32, X34, X33)))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[428, 424])).
% 3.51/3.72 tff(430,plain,(
% 3.51/3.72 ![X31: $i, X32: $i, X33: $i] : ((~(occurrence_of(X31, X33) & leaf_occ(X32, X31))) | ![X34: $i] : (~min_precedes(X32, X34, X33)))),
% 3.51/3.72 inference(skolemize,[status(sab)],[429])).
% 3.51/3.72 tff(431,plain,
% 3.51/3.72 (![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[430, 423])).
% 3.51/3.72 tff(432,plain,
% 3.51/3.72 (![X31: $i, X32: $i, X33: $i] : (![X34: $i] : (~min_precedes(X32, X34, X33)) | (~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[431, 421])).
% 3.51/3.72 tff(433,plain,
% 3.51/3.72 (![X31: $i, X32: $i, X33: $i] : ((~occurrence_of(X31, X33)) | (~leaf_occ(X32, X31)) | ![X34: $i] : (~min_precedes(X32, X34, X33)))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[432, 416])).
% 3.51/3.72 tff(434,plain,
% 3.51/3.72 (((~![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))))),
% 3.51/3.72 inference(rewrite,[status(thm)],[])).
% 3.51/3.72 tff(435,plain,
% 3.51/3.72 ((~![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))))),
% 3.51/3.72 inference(quant_inst,[status(thm)],[])).
% 3.51/3.72 tff(436,plain,
% 3.51/3.72 ((~![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: $i] : (~min_precedes(tptp_fun_X104_13(X107!15, X106!16), X34, tptp_fun_X42_4(X107!15)))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[435, 434])).
% 3.51/3.72 tff(437,plain,
% 3.51/3.72 ($false),
% 3.51/3.72 inference(unit_resolution,[status(thm)],[436, 433, 414, 392, 391])).
% 3.51/3.72 tff(438,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,[]))).
% 3.51/3.72 tff(439,plain,
% 3.51/3.72 (((~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))),
% 3.51/3.72 inference(tautology,[status(thm)],[])).
% 3.51/3.72 tff(440,plain,
% 3.51/3.72 (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))),
% 3.51/3.72 inference(unit_resolution,[status(thm)],[439, 411])).
% 3.51/3.72 tff(441,plain,
% 3.51/3.72 (^[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))))))),
% 3.51/3.72 inference(bind,[status(th)],[])).
% 3.51/3.72 tff(442,plain,
% 3.51/3.72 (![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)))))),
% 3.51/3.72 inference(quant_intro,[status(thm)],[441])).
% 3.51/3.72 tff(443,plain,
% 3.51/3.72 (^[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))))))),
% 3.51/3.72 inference(bind,[status(th)],[])).
% 3.51/3.72 tff(444,plain,
% 3.51/3.72 (![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)))))),
% 3.51/3.72 inference(quant_intro,[status(thm)],[443])).
% 3.51/3.72 tff(445,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(rewrite,[status(thm)],[])).
% 3.51/3.72 tff(446,plain,
% 3.51/3.72 (^[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))))),
% 3.51/3.72 inference(bind,[status(th)],[])).
% 3.51/3.72 tff(447,plain,
% 3.51/3.72 (![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)))),
% 3.51/3.72 inference(quant_intro,[status(thm)],[446])).
% 3.51/3.72 tff(448,axiom,(![X75: $i, X76: $i, X77: $i] : (next_subocc(X75, X76, X77) => (arboreal(X75) & arboreal(X76)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_25')).
% 3.51/3.72 tff(449,plain,
% 3.51/3.72 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[448, 447])).
% 3.51/3.72 tff(450,plain,
% 3.51/3.72 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[449, 445])).
% 3.51/3.72 tff(451,plain,(
% 3.51/3.72 ![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (arboreal(X75) & arboreal(X76)))),
% 3.51/3.72 inference(skolemize,[status(sab)],[450])).
% 3.51/3.72 tff(452,plain,
% 3.51/3.72 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[451, 444])).
% 3.51/3.72 tff(453,plain,
% 3.51/3.72 (![X75: $i, X76: $i, X77: $i] : ((~next_subocc(X75, X76, X77)) | (~((~arboreal(X76)) | (~arboreal(X75)))))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[452, 442])).
% 3.51/3.72 tff(454,plain,
% 3.51/3.72 (((~![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))))))),
% 3.51/3.72 inference(rewrite,[status(thm)],[])).
% 3.51/3.72 tff(455,plain,
% 3.51/3.72 ((~![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))))))),
% 3.51/3.72 inference(quant_inst,[status(thm)],[])).
% 3.51/3.72 tff(456,plain,
% 3.51/3.72 ((~![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)))))),
% 3.51/3.72 inference(modus_ponens,[status(thm)],[455, 454])).
% 3.51/3.72 tff(457,plain,
% 3.51/3.72 (~((~arboreal(tptp_fun_X105_12(X107!15, X106!16))) | (~arboreal(tptp_fun_X104_13(X107!15, X106!16))))),
% 3.51/3.72 inference(unit_resolution,[status(thm)],[456, 453, 129])).
% 3.51/3.72 tff(458,plain,
% 3.51/3.72 (((~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))),
% 3.51/3.72 inference(tautology,[status(thm)],[])).
% 3.51/3.72 tff(459,plain,
% 3.51/3.72 (arboreal(tptp_fun_X104_13(X107!15, X106!16))),
% 3.51/3.72 inference(unit_resolution,[status(thm)],[458, 457])).
% 3.51/3.72 tff(460,plain,
% 3.51/3.72 (((~![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))))))),
% 3.51/3.72 inference(rewrite,[status(thm)],[])).
% 3.51/3.72 tff(461,plain,
% 3.51/3.72 ((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))))))),
% 3.51/3.72 inference(rewrite,[status(thm)],[])).
% 3.51/3.72 tff(462,plain,
% 3.51/3.72 ((~((~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)))))),
% 3.51/3.72 inference(rewrite,[status(thm)],[])).
% 3.51/3.72 tff(463,plain,
% 3.51/3.72 ((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))))))),
% 3.51/3.73 inference(monotonicity,[status(thm)],[462])).
% 3.51/3.73 tff(464,plain,
% 3.51/3.73 ((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))))))),
% 3.51/3.73 inference(transitivity,[status(thm)],[463, 461])).
% 3.51/3.73 tff(465,plain,
% 3.51/3.73 (((~![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)))))))),
% 3.51/3.73 inference(monotonicity,[status(thm)],[464])).
% 3.51/3.73 tff(466,plain,
% 3.51/3.73 (((~![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))))))),
% 3.51/3.73 inference(transitivity,[status(thm)],[465, 460])).
% 3.51/3.73 tff(467,plain,
% 3.51/3.73 ((~![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))))))),
% 3.51/3.73 inference(quant_inst,[status(thm)],[])).
% 3.51/3.73 tff(468,plain,
% 3.51/3.73 ((~![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)))))),
% 3.51/3.73 inference(modus_ponens,[status(thm)],[467, 466])).
% 3.51/3.73 tff(469,plain,
% 3.51/3.73 (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)))))),
% 3.51/3.73 inference(unit_resolution,[status(thm)],[468, 117, 459, 413, 440])).
% 3.51/3.73 tff(470,plain,
% 3.51/3.73 (~((~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))))),
% 3.51/3.73 inference(unit_resolution,[status(thm)],[469, 438])).
% 3.51/3.73 tff(471,plain,
% 3.51/3.73 (((~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)),
% 3.51/3.73 inference(tautology,[status(thm)],[])).
% 3.51/3.73 tff(472,plain,
% 3.51/3.73 (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)),
% 3.51/3.74 inference(unit_resolution,[status(thm)],[471, 470])).
% 3.51/3.74 tff(473,plain,
% 3.51/3.74 (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))),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[472, 384])).
% 3.51/3.74 tff(474,plain,
% 3.51/3.74 ((~((~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)))))))),
% 3.51/3.74 inference(tautology,[status(thm)],[])).
% 3.51/3.74 tff(475,plain,
% 3.51/3.74 (~((~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))))))),
% 3.51/3.74 inference(unit_resolution,[status(thm)],[474, 473, 382])).
% 3.51/3.74 tff(476,plain,
% 3.51/3.74 (((~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))),
% 3.51/3.74 inference(tautology,[status(thm)],[])).
% 3.51/3.74 tff(477,plain,
% 3.51/3.74 (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))),
% 3.51/3.74 inference(unit_resolution,[status(thm)],[476, 475])).
% 3.51/3.74 tff(478,plain,
% 3.51/3.74 (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)),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[477, 373])).
% 3.51/3.74 tff(479,plain,
% 3.51/3.74 (((~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)))),
% 3.51/3.74 inference(tautology,[status(thm)],[])).
% 3.51/3.74 tff(480,plain,
% 3.51/3.74 (![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)))),
% 3.51/3.74 inference(unit_resolution,[status(thm)],[479, 132])).
% 3.51/3.74 tff(481,plain,
% 3.51/3.74 (((~![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_X103_14(tptp_fun_X24_2(tptp_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_X103_14(tptp_fun_X24_2(tptp_fun_X105_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)))) <=> ((~![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_X103_14(tptp_fun_X24_2(tptp_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_X103_14(tptp_fun_X24_2(tptp_fun_X105_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)))),
% 3.51/3.74 inference(rewrite,[status(thm)],[])).
% 3.51/3.74 tff(482,plain,
% 3.51/3.74 (((~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))) <=> ((~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_X103_14(tptp_fun_X24_2(tptp_fun_X105_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)))),
% 3.51/3.74 inference(rewrite,[status(thm)],[])).
% 3.51/3.74 tff(483,plain,
% 3.51/3.74 (((~![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_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_X103_14(tptp_fun_X24_2(tptp_fun_X105_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))))),
% 3.51/3.74 inference(monotonicity,[status(thm)],[482])).
% 3.51/3.74 tff(484,plain,
% 3.51/3.74 (((~![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_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_X103_14(tptp_fun_X24_2(tptp_fun_X105_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)))),
% 3.51/3.74 inference(transitivity,[status(thm)],[483, 481])).
% 3.51/3.74 tff(485,plain,
% 3.51/3.74 ((~![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)))),
% 3.51/3.74 inference(quant_inst,[status(thm)],[])).
% 3.51/3.74 tff(486,plain,
% 3.51/3.74 ((~![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_X103_14(tptp_fun_X24_2(tptp_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_X103_14(tptp_fun_X24_2(tptp_fun_X105_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))),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[485, 484])).
% 3.51/3.74 tff(487,plain,
% 3.51/3.74 ((~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_X103_14(tptp_fun_X24_2(tptp_fun_X105_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))),
% 3.51/3.74 inference(unit_resolution,[status(thm)],[486, 480])).
% 3.51/3.74 tff(488,plain,
% 3.51/3.74 (~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)),
% 3.51/3.74 inference(unit_resolution,[status(thm)],[487, 478])).
% 3.51/3.74 tff(489,plain,
% 3.51/3.74 (~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))),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[488, 371])).
% 3.51/3.74 tff(490,plain,
% 3.51/3.74 (^[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))))),
% 3.51/3.74 inference(bind,[status(th)],[])).
% 3.51/3.74 tff(491,plain,
% 3.51/3.74 (![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)))),
% 3.51/3.74 inference(quant_intro,[status(thm)],[490])).
% 3.51/3.74 tff(492,plain,
% 3.51/3.74 (^[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)))))),
% 3.51/3.74 inference(bind,[status(th)],[])).
% 3.51/3.74 tff(493,plain,
% 3.51/3.74 (![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)))),
% 3.51/3.74 inference(quant_intro,[status(thm)],[492])).
% 3.51/3.74 tff(494,plain,
% 3.51/3.74 (![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))),
% 3.51/3.74 inference(rewrite,[status(thm)],[])).
% 3.51/3.74 tff(495,plain,
% 3.51/3.74 (^[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))))),
% 3.51/3.74 inference(bind,[status(th)],[])).
% 3.51/3.74 tff(496,plain,
% 3.51/3.74 (![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))),
% 3.51/3.74 inference(quant_intro,[status(thm)],[495])).
% 3.51/3.74 tff(497,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/sandbox2/benchmark/theBenchmark.p','sos_31')).
% 3.51/3.74 tff(498,plain,
% 3.51/3.74 (![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))),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[497, 496])).
% 3.51/3.74 tff(499,plain,
% 3.51/3.74 (![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))),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[498, 494])).
% 3.51/3.74 tff(500,plain,(
% 3.51/3.74 ![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))),
% 3.51/3.74 inference(skolemize,[status(sab)],[499])).
% 3.51/3.74 tff(501,plain,
% 3.51/3.74 (![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)))),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[500, 493])).
% 3.51/3.74 tff(502,plain,
% 3.51/3.74 (![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)))),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[501, 491])).
% 3.51/3.74 tff(503,plain,
% 3.51/3.74 (((~![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))))))),
% 3.51/3.74 inference(rewrite,[status(thm)],[])).
% 3.51/3.74 tff(504,plain,
% 3.51/3.74 ((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))))))),
% 3.51/3.74 inference(rewrite,[status(thm)],[])).
% 3.51/3.74 tff(505,plain,
% 3.51/3.74 (((~![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)))))))),
% 3.51/3.74 inference(monotonicity,[status(thm)],[504])).
% 3.51/3.74 tff(506,plain,
% 3.51/3.74 (((~![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))))))),
% 3.51/3.74 inference(transitivity,[status(thm)],[505, 503])).
% 3.51/3.74 tff(507,plain,
% 3.51/3.74 ((~![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))))))),
% 3.51/3.74 inference(quant_inst,[status(thm)],[])).
% 3.51/3.74 tff(508,plain,
% 3.51/3.74 ((~![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)))))),
% 3.51/3.74 inference(modus_ponens,[status(thm)],[507, 506])).
% 3.51/3.74 tff(509,plain,
% 3.51/3.74 (~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))))),
% 3.51/3.74 inference(unit_resolution,[status(thm)],[508, 502, 388, 477, 489])).
% 3.51/3.74 tff(510,plain,
% 3.51/3.74 ((((~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)))))) | 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))))),
% 3.51/3.75 inference(tautology,[status(thm)],[])).
% 3.51/3.75 tff(511,plain,
% 3.51/3.75 ((((~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))))))),
% 3.51/3.75 inference(unit_resolution,[status(thm)],[510, 509])).
% 3.51/3.75 tff(512,plain,
% 3.51/3.75 ((~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)))))),
% 3.51/3.75 inference(unit_resolution,[status(thm)],[511, 368])).
% 3.51/3.75 tff(513,plain,
% 3.51/3.75 ((~![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))) | (~(((~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))))))),
% 3.51/3.75 inference(quant_inst,[status(thm)],[])).
% 3.51/3.75 tff(514,plain,
% 3.51/3.75 (~(((~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)))))),
% 3.51/3.75 inference(unit_resolution,[status(thm)],[513, 366])).
% 3.51/3.75 tff(515,plain,
% 3.51/3.75 ((~![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)))))))))))),
% 3.51/3.75 inference(quant_inst,[status(thm)],[])).
% 3.51/3.75 tff(516,plain,
% 3.51/3.75 (~((~(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))))))))))),
% 3.51/3.75 inference(unit_resolution,[status(thm)],[515, 97])).
% 3.51/3.75 tff(517,plain,
% 3.51/3.75 (((~(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_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, 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))))))))),
% 3.51/3.75 inference(tautology,[status(thm)],[])).
% 3.51/3.75 tff(518,plain,
% 3.51/3.75 ((~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)))))))),
% 3.51/3.75 inference(unit_resolution,[status(thm)],[517, 516])).
% 3.51/3.75 tff(519,plain,
% 3.51/3.75 (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)),
% 3.51/3.75 inference(monotonicity,[status(thm)],[73])).
% 3.51/3.75 tff(520,plain,
% 3.51/3.75 (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))),
% 3.51/3.75 inference(symmetry,[status(thm)],[519])).
% 3.51/3.75 tff(521,plain,
% 3.51/3.75 (((~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)),
% 3.51/3.76 inference(tautology,[status(thm)],[])).
% 3.51/3.76 tff(522,plain,
% 3.51/3.76 (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)),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[521, 340])).
% 3.51/3.76 tff(523,plain,
% 3.51/3.76 (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))),
% 3.51/3.76 inference(modus_ponens,[status(thm)],[522, 520])).
% 3.51/3.76 tff(524,plain,
% 3.51/3.76 ((~((~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)))))))),
% 3.51/3.76 inference(tautology,[status(thm)],[])).
% 3.51/3.76 tff(525,plain,
% 3.51/3.76 (~((~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))))))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[524, 523, 518])).
% 3.51/3.76 tff(526,plain,
% 3.51/3.76 (((~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))),
% 3.51/3.76 inference(tautology,[status(thm)],[])).
% 3.51/3.76 tff(527,plain,
% 3.51/3.76 (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))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[526, 525])).
% 3.51/3.76 tff(528,plain,
% 3.51/3.76 (^[X72: $i, X73: $i, X74: $i] : refl(((~min_precedes(X72, X73, X74)) | precedes(X72, X73)) <=> ((~min_precedes(X72, X73, X74)) | precedes(X72, X73)))),
% 3.51/3.76 inference(bind,[status(th)],[])).
% 3.51/3.76 tff(529,plain,
% 3.51/3.76 (![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))),
% 3.51/3.76 inference(quant_intro,[status(thm)],[528])).
% 3.51/3.76 tff(530,plain,
% 3.51/3.76 (![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))),
% 3.51/3.76 inference(rewrite,[status(thm)],[])).
% 3.51/3.76 tff(531,plain,
% 3.51/3.76 (^[X72: $i, X73: $i, X74: $i] : rewrite((min_precedes(X72, X73, X74) => precedes(X72, X73)) <=> ((~min_precedes(X72, X73, X74)) | precedes(X72, X73)))),
% 3.51/3.76 inference(bind,[status(th)],[])).
% 3.51/3.76 tff(532,plain,
% 3.51/3.76 (![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))),
% 3.51/3.76 inference(quant_intro,[status(thm)],[531])).
% 3.51/3.76 tff(533,axiom,(![X72: $i, X73: $i, X74: $i] : (min_precedes(X72, X73, X74) => precedes(X72, X73))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_24')).
% 3.51/3.76 tff(534,plain,
% 3.51/3.76 (![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 3.51/3.76 inference(modus_ponens,[status(thm)],[533, 532])).
% 3.51/3.76 tff(535,plain,
% 3.51/3.76 (![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 3.51/3.76 inference(modus_ponens,[status(thm)],[534, 530])).
% 3.51/3.76 tff(536,plain,(
% 3.51/3.76 ![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 3.51/3.76 inference(skolemize,[status(sab)],[535])).
% 3.51/3.76 tff(537,plain,
% 3.51/3.76 (![X72: $i, X73: $i, X74: $i] : ((~min_precedes(X72, X73, X74)) | precedes(X72, X73))),
% 3.51/3.76 inference(modus_ponens,[status(thm)],[536, 529])).
% 3.51/3.76 tff(538,plain,
% 3.51/3.76 (((~![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)))))),
% 3.51/3.76 inference(rewrite,[status(thm)],[])).
% 3.51/3.76 tff(539,plain,
% 3.51/3.76 ((~![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)))))),
% 3.51/3.76 inference(quant_inst,[status(thm)],[])).
% 3.51/3.76 tff(540,plain,
% 3.51/3.76 ((~![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))))),
% 3.51/3.76 inference(modus_ponens,[status(thm)],[539, 538])).
% 3.51/3.76 tff(541,plain,
% 3.51/3.76 (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))))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[540, 537, 527])).
% 3.51/3.76 tff(542,plain,
% 3.51/3.76 ((((~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))))))) | (~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)))))),
% 3.51/3.76 inference(tautology,[status(thm)],[])).
% 3.51/3.76 tff(543,plain,
% 3.51/3.76 ((((~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)))))))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[542, 541])).
% 3.51/3.76 tff(544,plain,
% 3.51/3.76 (~((~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))))))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[543, 514])).
% 3.51/3.76 tff(545,plain,
% 3.51/3.76 (((~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))))),
% 3.51/3.76 inference(tautology,[status(thm)],[])).
% 3.51/3.76 tff(546,plain,
% 3.51/3.76 (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))))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[545, 544])).
% 3.51/3.76 tff(547,plain,
% 3.51/3.76 ((~((~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)))))),
% 3.51/3.76 inference(tautology,[status(thm)],[])).
% 3.51/3.76 tff(548,plain,
% 3.51/3.76 ((~((~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)))))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[547, 546])).
% 3.51/3.76 tff(549,plain,
% 3.51/3.76 (~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))))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[548, 512])).
% 3.51/3.76 tff(550,plain,
% 3.51/3.76 (~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)))),
% 3.51/3.76 inference(modus_ponens,[status(thm)],[549, 356])).
% 3.51/3.76 tff(551,plain,
% 3.51/3.76 ((~![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))) | (~(((~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)))))),
% 3.51/3.76 inference(quant_inst,[status(thm)],[])).
% 3.51/3.76 tff(552,plain,
% 3.51/3.76 (~(((~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))))),
% 3.51/3.76 inference(unit_resolution,[status(thm)],[551, 366])).
% 3.51/3.76 tff(553,plain,
% 3.51/3.76 ((~![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)))))))))))),
% 3.51/3.77 inference(quant_inst,[status(thm)],[])).
% 3.51/3.77 tff(554,plain,
% 3.51/3.77 (~((~(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))))))))))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[553, 97])).
% 3.51/3.77 tff(555,plain,
% 3.51/3.77 (((~(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))) | (~![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))))))))),
% 3.51/3.77 inference(tautology,[status(thm)],[])).
% 3.51/3.77 tff(556,plain,
% 3.51/3.77 ((~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)))))))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[555, 554])).
% 3.51/3.77 tff(557,plain,
% 3.51/3.77 (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)),
% 3.51/3.77 inference(monotonicity,[status(thm)],[73])).
% 3.51/3.77 tff(558,plain,
% 3.51/3.77 (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))),
% 3.51/3.77 inference(symmetry,[status(thm)],[557])).
% 3.51/3.77 tff(559,plain,
% 3.51/3.77 (((~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)),
% 3.51/3.77 inference(tautology,[status(thm)],[])).
% 3.51/3.77 tff(560,plain,
% 3.51/3.77 (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)),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[559, 470])).
% 3.51/3.77 tff(561,plain,
% 3.51/3.77 (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))),
% 3.51/3.77 inference(modus_ponens,[status(thm)],[560, 558])).
% 3.51/3.77 tff(562,plain,
% 3.51/3.77 ((~((~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))) | (~![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)))))))),
% 3.51/3.77 inference(tautology,[status(thm)],[])).
% 3.51/3.77 tff(563,plain,
% 3.51/3.77 (~((~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))))))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[562, 561, 556])).
% 3.51/3.77 tff(564,plain,
% 3.51/3.77 (((~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)))))) | 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))),
% 3.51/3.77 inference(tautology,[status(thm)],[])).
% 3.51/3.77 tff(565,plain,
% 3.51/3.77 (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))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[564, 563])).
% 3.51/3.77 tff(566,plain,
% 3.51/3.77 (((~![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))))),
% 3.51/3.77 inference(rewrite,[status(thm)],[])).
% 3.51/3.77 tff(567,plain,
% 3.51/3.77 ((~![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))))),
% 3.51/3.77 inference(quant_inst,[status(thm)],[])).
% 3.51/3.77 tff(568,plain,
% 3.51/3.77 ((~![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)))),
% 3.51/3.77 inference(modus_ponens,[status(thm)],[567, 566])).
% 3.51/3.77 tff(569,plain,
% 3.51/3.77 (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)))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[568, 537, 565])).
% 3.51/3.77 tff(570,plain,
% 3.51/3.77 ((((~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)))))) | (~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))))),
% 3.51/3.77 inference(tautology,[status(thm)],[])).
% 3.51/3.77 tff(571,plain,
% 3.51/3.77 ((((~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))))))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[570, 569])).
% 3.51/3.77 tff(572,plain,
% 3.51/3.77 (~((~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)))))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[571, 552])).
% 3.51/3.77 tff(573,plain,
% 3.51/3.77 (((~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)))),
% 3.51/3.77 inference(tautology,[status(thm)],[])).
% 3.51/3.77 tff(574,plain,
% 3.51/3.77 (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)))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[573, 572])).
% 3.51/3.77 tff(575,plain,
% 3.51/3.77 ((~![X63: $i, X64: $i] : (~(((~legal(X64)) | (~earlier(X63, X64))) <=> precedes(X63, X64)))) | (~(((~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)))))),
% 3.51/3.77 inference(quant_inst,[status(thm)],[])).
% 3.51/3.77 tff(576,plain,
% 3.51/3.77 (~(((~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))))),
% 3.51/3.77 inference(unit_resolution,[status(thm)],[575, 366])).
% 3.51/3.77 tff(577,plain,
% 3.51/3.77 (((~![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_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))))) | (~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))))) | (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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)))))))))))) <=> ((~![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_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))))) | (~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))))) | (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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))))))))))))),
% 3.51/3.78 inference(rewrite,[status(thm)],[])).
% 3.51/3.78 tff(578,plain,
% 3.51/3.78 ((~((~(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_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))))) | (~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))))) | (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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)))))))))))),
% 3.61/3.78 inference(rewrite,[status(thm)],[])).
% 3.61/3.78 tff(579,plain,
% 3.61/3.78 (((~![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)))))))))))) <=> ((~![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_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))))) | (~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))))) | (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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))))))))))))),
% 3.61/3.78 inference(monotonicity,[status(thm)],[578])).
% 3.61/3.78 tff(580,plain,
% 3.61/3.78 (((~![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)))))))))))) <=> ((~![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_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))))) | (~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))))) | (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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))))))))))))),
% 3.61/3.78 inference(transitivity,[status(thm)],[579, 577])).
% 3.61/3.78 tff(581,plain,
% 3.61/3.78 ((~![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)))))))))))),
% 3.61/3.78 inference(quant_inst,[status(thm)],[])).
% 3.61/3.78 tff(582,plain,
% 3.61/3.78 ((~![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_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))))) | (~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))))) | (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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)))))))))))),
% 3.61/3.78 inference(modus_ponens,[status(thm)],[581, 580])).
% 3.61/3.78 tff(583,plain,
% 3.61/3.78 (~((~(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_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))))) | (~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))))) | (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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))))))))))),
% 3.61/3.78 inference(unit_resolution,[status(thm)],[582, 97])).
% 3.61/3.78 tff(584,plain,
% 3.61/3.78 (((~(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_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))))) | (~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))))) | (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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))))))))),
% 3.61/3.79 inference(tautology,[status(thm)],[])).
% 3.61/3.79 tff(585,plain,
% 3.61/3.79 ((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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)))))))),
% 3.61/3.79 inference(unit_resolution,[status(thm)],[584, 583])).
% 3.61/3.79 tff(586,plain,
% 3.61/3.79 (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)),
% 3.61/3.79 inference(monotonicity,[status(thm)],[73])).
% 3.61/3.79 tff(587,plain,
% 3.61/3.79 (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))),
% 3.61/3.79 inference(symmetry,[status(thm)],[586])).
% 3.61/3.79 tff(588,plain,
% 3.61/3.79 (((~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)),
% 3.61/3.79 inference(tautology,[status(thm)],[])).
% 3.61/3.79 tff(589,plain,
% 3.61/3.79 (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)),
% 3.61/3.79 inference(unit_resolution,[status(thm)],[588, 470])).
% 3.61/3.79 tff(590,plain,
% 3.61/3.79 (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))),
% 3.61/3.79 inference(modus_ponens,[status(thm)],[589, 587])).
% 3.61/3.79 tff(591,plain,
% 3.61/3.79 ((~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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)))))))),
% 3.61/3.79 inference(tautology,[status(thm)],[])).
% 3.61/3.79 tff(592,plain,
% 3.61/3.79 (~((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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))))))),
% 3.61/3.79 inference(unit_resolution,[status(thm)],[591, 590, 585])).
% 3.61/3.79 tff(593,plain,
% 3.61/3.79 (((~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(tptp_fun_X104_13(tptp_fun_X24_2(tptp_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_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))),
% 3.61/3.79 inference(tautology,[status(thm)],[])).
% 3.61/3.79 tff(594,plain,
% 3.61/3.79 (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))),
% 3.61/3.79 inference(unit_resolution,[status(thm)],[593, 592])).
% 3.61/3.79 tff(595,plain,
% 3.61/3.79 (((~![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))))),
% 3.61/3.79 inference(rewrite,[status(thm)],[])).
% 3.61/3.79 tff(596,plain,
% 3.61/3.79 ((~![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))))),
% 3.61/3.79 inference(quant_inst,[status(thm)],[])).
% 3.61/3.79 tff(597,plain,
% 3.61/3.79 ((~![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)))),
% 3.61/3.79 inference(modus_ponens,[status(thm)],[596, 595])).
% 3.61/3.79 tff(598,plain,
% 3.61/3.79 (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)))),
% 3.61/3.79 inference(unit_resolution,[status(thm)],[597, 537, 594])).
% 3.61/3.79 tff(599,plain,
% 3.61/3.79 ((((~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)))))) | (~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))))),
% 3.61/3.79 inference(tautology,[status(thm)],[])).
% 3.61/3.79 tff(600,plain,
% 3.61/3.79 ((((~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))))))),
% 3.61/3.79 inference(unit_resolution,[status(thm)],[599, 598])).
% 3.61/3.79 tff(601,plain,
% 3.61/3.79 (~((~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)))))),
% 3.61/3.79 inference(unit_resolution,[status(thm)],[600, 576])).
% 3.61/3.79 tff(602,plain,
% 3.61/3.79 (((~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)))),
% 3.61/3.79 inference(tautology,[status(thm)],[])).
% 3.61/3.79 tff(603,plain,
% 3.61/3.79 (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)))),
% 3.61/3.79 inference(unit_resolution,[status(thm)],[602, 601])).
% 3.61/3.79 tff(604,plain,
% 3.61/3.79 (![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)))),
% 3.61/3.79 inference(rewrite,[status(thm)],[])).
% 3.61/3.79 tff(605,plain,
% 3.61/3.79 (^[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)))))),
% 3.61/3.79 inference(bind,[status(th)],[])).
% 3.61/3.79 tff(606,plain,
% 3.61/3.79 (![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)))),
% 3.61/3.79 inference(quant_intro,[status(thm)],[605])).
% 3.61/3.79 tff(607,plain,
% 3.61/3.79 (![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))),
% 3.61/3.79 inference(rewrite,[status(thm)],[])).
% 3.61/3.79 tff(608,plain,
% 3.61/3.79 (^[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)))),
% 3.61/3.79 inference(bind,[status(th)],[])).
% 3.61/3.79 tff(609,plain,
% 3.61/3.79 (![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))),
% 3.61/3.79 inference(quant_intro,[status(thm)],[608])).
% 3.61/3.79 tff(610,axiom,(![X94: $i, X95: $i, X96: $i] : ((earlier(X94, X95) & earlier(X95, X96)) => earlier(X94, X96))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_30')).
% 3.61/3.79 tff(611,plain,
% 3.61/3.79 (![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96))),
% 3.61/3.79 inference(modus_ponens,[status(thm)],[610, 609])).
% 3.61/3.79 tff(612,plain,
% 3.61/3.79 (![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96))),
% 3.61/3.79 inference(modus_ponens,[status(thm)],[611, 607])).
% 3.61/3.79 tff(613,plain,(
% 3.61/3.79 ![X94: $i, X95: $i, X96: $i] : ((~(earlier(X94, X95) & earlier(X95, X96))) | earlier(X94, X96))),
% 3.61/3.79 inference(skolemize,[status(sab)],[612])).
% 3.61/3.79 tff(614,plain,
% 3.61/3.79 (![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))),
% 3.61/3.79 inference(modus_ponens,[status(thm)],[613, 606])).
% 3.61/3.79 tff(615,plain,
% 3.61/3.79 (![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))),
% 3.61/3.79 inference(modus_ponens,[status(thm)],[614, 604])).
% 3.61/3.79 tff(616,plain,
% 3.61/3.79 (((~![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))))),
% 3.63/3.79 inference(rewrite,[status(thm)],[])).
% 3.63/3.79 tff(617,plain,
% 3.63/3.79 ((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))))),
% 3.63/3.79 inference(rewrite,[status(thm)],[])).
% 3.63/3.79 tff(618,plain,
% 3.63/3.79 (((~![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)))))),
% 3.63/3.79 inference(monotonicity,[status(thm)],[617])).
% 3.63/3.79 tff(619,plain,
% 3.63/3.79 (((~![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))))),
% 3.63/3.80 inference(transitivity,[status(thm)],[618, 616])).
% 3.63/3.80 tff(620,plain,
% 3.63/3.80 ((~![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)))))),
% 3.63/3.80 inference(quant_inst,[status(thm)],[])).
% 3.63/3.80 tff(621,plain,
% 3.63/3.80 ((~![X94: $i, X95: $i, X96: $i] : (earlier(X94, X96) | (~earlier(X95, X96)) | (~earlier(X94, X95)))) | (~earlier(tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | (~earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X104_13(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))) | earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 3.63/3.80 inference(modus_ponens,[status(thm)],[620, 619])).
% 3.63/3.80 tff(622,plain,
% 3.63/3.80 (earlier(tptp_fun_X103_14(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)))),
% 3.63/3.80 inference(unit_resolution,[status(thm)],[621, 615, 603, 574])).
% 3.63/3.80 tff(623,plain,
% 3.63/3.80 ($false),
% 3.63/3.80 inference(unit_resolution,[status(thm)],[622, 550])).
% 3.63/3.80 tff(624,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,[]))).
% 3.63/3.80 tff(625,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)).
% 3.63/3.80 tff(626,plain,
% 3.63/3.80 (((~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))),
% 3.63/3.80 inference(tautology,[status(thm)],[])).
% 3.63/3.80 tff(627,plain,
% 3.63/3.80 (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))),
% 3.63/3.80 inference(unit_resolution,[status(thm)],[626, 470])).
% 3.63/3.80 tff(628,plain,
% 3.63/3.80 (((~![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)))))),
% 3.63/3.80 inference(rewrite,[status(thm)],[])).
% 3.63/3.80 tff(629,plain,
% 3.63/3.80 ((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)))))),
% 3.63/3.80 inference(rewrite,[status(thm)],[])).
% 3.63/3.80 tff(630,plain,
% 3.63/3.80 (((~![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))))))),
% 3.63/3.80 inference(monotonicity,[status(thm)],[629])).
% 3.63/3.80 tff(631,plain,
% 3.63/3.80 (((~![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)))))),
% 3.63/3.80 inference(transitivity,[status(thm)],[630, 628])).
% 3.63/3.80 tff(632,plain,
% 3.63/3.80 ((~![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))))),
% 3.63/3.80 inference(quant_inst,[status(thm)],[])).
% 3.63/3.80 tff(633,plain,
% 3.63/3.80 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp_fun_X42_4(X107!15)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~leaf_occ(tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (tptp_fun_X105_12(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X104_13(X107!15, X106!16)) = tptp_fun_X105_12(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X2_0(tptp_fun_X27_3(tptp_fun_X57_8(X107!15, tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X105_12(X107!15, X106!16)), tptp_fun_X42_4(X107!15))))),
% 3.63/3.80 inference(modus_ponens,[status(thm)],[632, 631])).
% 3.63/3.80 tff(634,plain,
% 3.63/3.80 ($false),
% 3.63/3.80 inference(unit_resolution,[status(thm)],[633, 286, 248, 414, 627, 625, 624])).
% 3.63/3.80 tff(635,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,[]))).
% 3.63/3.80 tff(636,plain,
% 3.63/3.80 (~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))),
% 3.63/3.80 inference(modus_ponens,[status(thm)],[635, 352])).
% 3.63/3.80 tff(637,plain,
% 3.63/3.80 (((~![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))) | (~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)))) | (~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_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))) | (~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)))) | (~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_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))))))))),
% 3.63/3.80 inference(rewrite,[status(thm)],[])).
% 3.63/3.80 tff(638,plain,
% 3.63/3.80 ((~((~((~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))) | (~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)))) | (~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_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)))))))),
% 3.63/3.80 inference(rewrite,[status(thm)],[])).
% 3.63/3.80 tff(639,plain,
% 3.63/3.80 (((~![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))) | (~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)))) | (~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_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))))))))),
% 3.63/3.80 inference(monotonicity,[status(thm)],[638])).
% 3.63/3.80 tff(640,plain,
% 3.63/3.80 (((~![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))) | (~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)))) | (~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_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))))))))),
% 3.63/3.81 inference(transitivity,[status(thm)],[639, 637])).
% 3.63/3.81 tff(641,plain,
% 3.63/3.81 ((~![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)))))))),
% 3.63/3.81 inference(quant_inst,[status(thm)],[])).
% 3.63/3.81 tff(642,plain,
% 3.63/3.81 ((~![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))) | (~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)))) | (~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_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)))))))),
% 3.63/3.81 inference(modus_ponens,[status(thm)],[641, 640])).
% 3.63/3.81 tff(643,plain,
% 3.63/3.81 (~((~((~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))) | (~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)))) | (~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_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))))))),
% 3.63/3.81 inference(unit_resolution,[status(thm)],[642, 165])).
% 3.63/3.81 tff(644,plain,
% 3.63/3.81 (((~((~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))) | (~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)))) | (~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_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))))),
% 3.63/3.81 inference(tautology,[status(thm)],[])).
% 3.63/3.81 tff(645,plain,
% 3.63/3.81 (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)))),
% 3.63/3.81 inference(unit_resolution,[status(thm)],[644, 643])).
% 3.63/3.81 tff(646,plain,
% 3.63/3.81 ((~(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)))),
% 3.63/3.81 inference(tautology,[status(thm)],[])).
% 3.63/3.81 tff(647,plain,
% 3.63/3.81 (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)))),
% 3.63/3.81 inference(unit_resolution,[status(thm)],[646, 645])).
% 3.63/3.81 tff(648,plain,
% 3.63/3.81 (![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)))),
% 3.63/3.81 inference(unit_resolution,[status(thm)],[647, 636])).
% 3.63/3.81 tff(649,plain,
% 3.63/3.81 (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)))),
% 3.63/3.81 inference(monotonicity,[status(thm)],[189])).
% 3.63/3.81 tff(650,plain,
% 3.63/3.81 (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))),
% 3.63/3.81 inference(symmetry,[status(thm)],[649])).
% 3.63/3.81 tff(651,plain,
% 3.63/3.81 (leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15))),
% 3.63/3.81 inference(modus_ponens,[status(thm)],[220, 650])).
% 3.63/3.81 tff(652,plain,
% 3.63/3.81 (((~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))),
% 3.63/3.81 inference(tautology,[status(thm)],[])).
% 3.63/3.81 tff(653,plain,
% 3.63/3.81 (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))),
% 3.63/3.81 inference(unit_resolution,[status(thm)],[652, 411])).
% 3.63/3.81 tff(654,plain,
% 3.63/3.81 (((~![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))))),
% 3.63/3.81 inference(rewrite,[status(thm)],[])).
% 3.63/3.81 tff(655,plain,
% 3.63/3.81 (((~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))))),
% 3.63/3.81 inference(rewrite,[status(thm)],[])).
% 3.63/3.81 tff(656,plain,
% 3.63/3.81 (((~![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)))))),
% 3.63/3.81 inference(monotonicity,[status(thm)],[655])).
% 3.63/3.81 tff(657,plain,
% 3.63/3.81 (((~![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))))),
% 3.65/3.81 inference(transitivity,[status(thm)],[656, 654])).
% 3.65/3.81 tff(658,plain,
% 3.65/3.81 ((~![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))))),
% 3.65/3.81 inference(quant_inst,[status(thm)],[])).
% 3.65/3.81 tff(659,plain,
% 3.65/3.81 ((~![X57: $i] : ((~leaf(tptp_fun_X105_12(X107!15, X106!16), X57)) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), X57)))) | (~subactivity_occurrence(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X104_13(X107!15, X106!16), tptp0), tptp_fun_X42_4(X107!15))) | (~leaf(tptp_fun_X105_12(X107!15, X106!16), tptp_fun_X42_4(X107!15)))),
% 3.65/3.81 inference(modus_ponens,[status(thm)],[658, 657])).
% 3.65/3.81 tff(660,plain,
% 3.65/3.81 ($false),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[659, 653, 414, 651, 648])).
% 3.65/3.81 % SZS output end Proof
% 3.66/3.82 % E exiting
%------------------------------------------------------------------------------