TSTP Solution File: PRO005+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PRO005+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 13:52:20 EDT 2022
% Result : Theorem 3.44s 2.41s
% Output : Proof 3.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO005+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 17:52:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 3.44/2.41 % SZS status Theorem
% 3.44/2.41 % SZS output start Proof
% 3.44/2.41 tff(occurrence_of_type, type, (
% 3.44/2.41 occurrence_of: ( $i * $i ) > $o)).
% 3.44/2.41 tff(tptp3_type, type, (
% 3.44/2.41 tptp3: $i)).
% 3.44/2.41 tff(tptp_fun_X102_16_type, type, (
% 3.44/2.41 tptp_fun_X102_16: $i > $i)).
% 3.44/2.41 tff(tptp_fun_X96_15_type, type, (
% 3.44/2.41 tptp_fun_X96_15: $i > $i)).
% 3.44/2.41 tff(tptp_fun_X73_8_type, type, (
% 3.44/2.41 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 3.44/2.41 tff(tptp0_type, type, (
% 3.44/2.41 tptp0: $i)).
% 3.44/2.41 tff(tptp_fun_X103_17_type, type, (
% 3.44/2.41 tptp_fun_X103_17: $i)).
% 3.44/2.41 tff(tptp_fun_X97_14_type, type, (
% 3.44/2.41 tptp_fun_X97_14: $i > $i)).
% 3.44/2.41 tff(tptp_fun_X93_13_type, type, (
% 3.44/2.41 tptp_fun_X93_13: ( $i * $i ) > $i)).
% 3.44/2.41 tff(leaf_occ_type, type, (
% 3.44/2.41 leaf_occ: ( $i * $i ) > $o)).
% 3.44/2.41 tff(root_occ_type, type, (
% 3.44/2.41 root_occ: ( $i * $i ) > $o)).
% 3.44/2.41 tff(root_type, type, (
% 3.44/2.41 root: ( $i * $i ) > $o)).
% 3.44/2.41 tff(tptp_fun_X34_1_type, type, (
% 3.44/2.41 tptp_fun_X34_1: ( $i * $i ) > $i)).
% 3.44/2.41 tff(subactivity_occurrence_type, type, (
% 3.44/2.41 subactivity_occurrence: ( $i * $i ) > $o)).
% 3.44/2.41 tff(min_precedes_type, type, (
% 3.44/2.41 min_precedes: ( $i * $i * $i ) > $o)).
% 3.44/2.41 tff(next_subocc_type, type, (
% 3.44/2.41 next_subocc: ( $i * $i * $i ) > $o)).
% 3.44/2.41 tff(tptp_fun_X18_0_type, type, (
% 3.44/2.41 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 3.44/2.41 tff(tptp1_type, type, (
% 3.44/2.41 tptp1: $i)).
% 3.44/2.41 tff(tptp_fun_X44_3_type, type, (
% 3.44/2.41 tptp_fun_X44_3: ( $i * $i ) > $i)).
% 3.44/2.41 tff(leaf_type, type, (
% 3.44/2.41 leaf: ( $i * $i ) > $o)).
% 3.44/2.41 tff(tptp_fun_X45_4_type, type, (
% 3.44/2.41 tptp_fun_X45_4: ( $i * $i ) > $i)).
% 3.44/2.41 tff(tptp_fun_X37_2_type, type, (
% 3.44/2.41 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 3.44/2.41 tff(tptp_fun_X53_6_type, type, (
% 3.44/2.41 tptp_fun_X53_6: $i > $i)).
% 3.44/2.41 tff(activity_type, type, (
% 3.44/2.41 activity: $i > $o)).
% 3.44/2.41 tff(activity_occurrence_type, type, (
% 3.44/2.41 activity_occurrence: $i > $o)).
% 3.44/2.41 tff(tptp2_type, type, (
% 3.44/2.41 tptp2: $i)).
% 3.44/2.41 tff(tptp4_type, type, (
% 3.44/2.41 tptp4: $i)).
% 3.44/2.41 tff(arboreal_type, type, (
% 3.44/2.41 arboreal: $i > $o)).
% 3.44/2.41 tff(atomic_type, type, (
% 3.44/2.41 atomic: $i > $o)).
% 3.44/2.41 tff(legal_type, type, (
% 3.44/2.41 legal: $i > $o)).
% 3.44/2.41 tff(1,assumption,(~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))), introduced(assumption)).
% 3.44/2.41 tff(2,plain,
% 3.44/2.41 (((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.44/2.41 inference(tautology,[status(thm)],[])).
% 3.44/2.41 tff(3,plain,
% 3.44/2.41 (occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.44/2.41 inference(unit_resolution,[status(thm)],[2, 1])).
% 3.44/2.41 tff(4,plain,
% 3.44/2.41 (^[X15: $i, X16: $i, X17: $i] : rewrite((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))))))),
% 3.44/2.41 inference(bind,[status(th)],[])).
% 3.44/2.41 tff(5,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))),
% 3.44/2.41 inference(quant_intro,[status(thm)],[4])).
% 3.44/2.41 tff(6,plain,
% 3.44/2.41 (^[X15: $i, X16: $i, X17: $i] : refl((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))))),
% 3.44/2.41 inference(bind,[status(th)],[])).
% 3.44/2.41 tff(7,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.44/2.41 inference(quant_intro,[status(thm)],[6])).
% 3.44/2.41 tff(8,plain,
% 3.44/2.41 (^[X15: $i, X16: $i, X17: $i] : rewrite((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))))),
% 3.44/2.41 inference(bind,[status(th)],[])).
% 3.44/2.41 tff(9,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.44/2.41 inference(quant_intro,[status(thm)],[8])).
% 3.44/2.41 tff(10,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.44/2.41 inference(transitivity,[status(thm)],[9, 7])).
% 3.44/2.41 tff(11,plain,
% 3.44/2.41 (^[X15: $i, X16: $i, X17: $i] : trans(monotonicity(rewrite(((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) <=> ((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))), trans(monotonicity(rewrite((min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)) <=> (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))), ((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))), rewrite((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))), ((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))), ((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> (((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))), rewrite((((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))), ((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))))),
% 3.44/2.41 inference(bind,[status(th)],[])).
% 3.44/2.41 tff(12,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.44/2.41 inference(quant_intro,[status(thm)],[11])).
% 3.44/2.41 tff(13,plain,
% 3.44/2.41 (^[X15: $i, X16: $i, X17: $i] : rewrite((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))),
% 3.44/2.41 inference(bind,[status(th)],[])).
% 3.44/2.41 tff(14,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> ![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))),
% 3.44/2.41 inference(quant_intro,[status(thm)],[13])).
% 3.44/2.41 tff(15,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) <=> ![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))),
% 3.44/2.41 inference(rewrite,[status(thm)],[])).
% 3.44/2.41 tff(16,axiom,(![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_04')).
% 3.44/2.41 tff(17,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))),
% 3.44/2.41 inference(modus_ponens,[status(thm)],[16, 15])).
% 3.44/2.41 tff(18,plain,(
% 3.44/2.41 ![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))),
% 3.44/2.41 inference(skolemize,[status(sab)],[17])).
% 3.44/2.41 tff(19,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))),
% 3.44/2.41 inference(modus_ponens,[status(thm)],[18, 14])).
% 3.44/2.41 tff(20,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.44/2.41 inference(modus_ponens,[status(thm)],[19, 12])).
% 3.44/2.41 tff(21,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.44/2.41 inference(modus_ponens,[status(thm)],[20, 10])).
% 3.44/2.41 tff(22,plain,
% 3.44/2.41 (![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))),
% 3.44/2.41 inference(modus_ponens,[status(thm)],[21, 5])).
% 3.44/2.41 tff(23,plain,
% 3.44/2.41 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))))))),
% 3.44/2.41 inference(rewrite,[status(thm)],[])).
% 3.44/2.41 tff(24,plain,
% 3.44/2.41 ((~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))))))),
% 3.44/2.41 inference(rewrite,[status(thm)],[])).
% 3.44/2.41 tff(25,plain,
% 3.44/2.41 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))))))),
% 3.44/2.41 inference(monotonicity,[status(thm)],[24])).
% 3.44/2.41 tff(26,plain,
% 3.44/2.41 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))))))),
% 3.44/2.42 inference(transitivity,[status(thm)],[25, 23])).
% 3.44/2.42 tff(27,plain,
% 3.44/2.42 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0))))))))))),
% 3.44/2.42 inference(quant_inst,[status(thm)],[])).
% 3.44/2.42 tff(28,plain,
% 3.44/2.42 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))))))),
% 3.44/2.42 inference(modus_ponens,[status(thm)],[27, 26])).
% 3.44/2.42 tff(29,plain,
% 3.44/2.42 (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))))),
% 3.44/2.42 inference(unit_resolution,[status(thm)],[28, 22])).
% 3.44/2.42 tff(30,plain,
% 3.44/2.42 (((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))))) | ((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))),
% 3.44/2.42 inference(tautology,[status(thm)],[])).
% 3.44/2.42 tff(31,plain,
% 3.44/2.42 ((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))),
% 3.44/2.42 inference(unit_resolution,[status(thm)],[30, 29])).
% 3.44/2.42 tff(32,plain,
% 3.44/2.42 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))))))),
% 3.44/2.42 inference(rewrite,[status(thm)],[])).
% 3.44/2.42 tff(33,plain,
% 3.44/2.42 ((~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))))))),
% 3.44/2.42 inference(rewrite,[status(thm)],[])).
% 3.44/2.42 tff(34,plain,
% 3.44/2.42 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))))))),
% 3.44/2.42 inference(monotonicity,[status(thm)],[33])).
% 3.44/2.42 tff(35,plain,
% 3.44/2.42 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))))))),
% 3.44/2.42 inference(transitivity,[status(thm)],[34, 32])).
% 3.44/2.42 tff(36,plain,
% 3.44/2.42 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0))))))))))),
% 3.44/2.42 inference(quant_inst,[status(thm)],[])).
% 3.44/2.42 tff(37,plain,
% 3.44/2.42 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))))))),
% 3.44/2.42 inference(modus_ponens,[status(thm)],[36, 35])).
% 3.44/2.42 tff(38,plain,
% 3.44/2.42 (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))))),
% 3.44/2.42 inference(unit_resolution,[status(thm)],[37, 22])).
% 3.44/2.42 tff(39,plain,
% 3.44/2.42 (((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))))) | ((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))),
% 3.44/2.42 inference(tautology,[status(thm)],[])).
% 3.44/2.42 tff(40,plain,
% 3.44/2.42 ((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))),
% 3.44/2.42 inference(unit_resolution,[status(thm)],[39, 38])).
% 3.44/2.42 tff(41,assumption,(min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)), introduced(assumption)).
% 3.44/2.42 tff(42,plain,
% 3.44/2.42 (^[X42: $i, X43: $i] : refl((~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))))),
% 3.44/2.42 inference(bind,[status(th)],[])).
% 3.44/2.42 tff(43,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.44/2.42 inference(quant_intro,[status(thm)],[42])).
% 3.44/2.42 tff(44,plain,
% 3.44/2.42 (^[X42: $i, X43: $i] : rewrite((~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))))),
% 3.44/2.42 inference(bind,[status(th)],[])).
% 3.44/2.42 tff(45,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.44/2.42 inference(quant_intro,[status(thm)],[44])).
% 3.44/2.42 tff(46,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.44/2.42 inference(transitivity,[status(thm)],[45, 43])).
% 3.44/2.42 tff(47,plain,
% 3.44/2.42 (^[X42: $i, X43: $i] : trans(monotonicity(rewrite(((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) <=> ((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))), trans(monotonicity(rewrite(((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) <=> (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))), ((leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))), rewrite((leaf(X42, X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))), ((leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))), ((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> (((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43)))))) & (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))), rewrite((((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43)))))) & (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))), ((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))))),
% 3.44/2.42 inference(bind,[status(th)],[])).
% 3.44/2.42 tff(48,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.44/2.42 inference(quant_intro,[status(thm)],[47])).
% 3.44/2.42 tff(49,plain,
% 3.44/2.42 (^[X42: $i, X43: $i] : rewrite((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))) <=> (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))))),
% 3.44/2.42 inference(bind,[status(th)],[])).
% 3.44/2.42 tff(50,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))) <=> ![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))),
% 3.44/2.42 inference(quant_intro,[status(thm)],[49])).
% 3.44/2.42 tff(51,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43)))) <=> ![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 3.44/2.42 inference(rewrite,[status(thm)],[])).
% 3.44/2.42 tff(52,axiom,(![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_14')).
% 3.44/2.42 tff(53,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 3.44/2.42 inference(modus_ponens,[status(thm)],[52, 51])).
% 3.44/2.42 tff(54,plain,(
% 3.44/2.42 ![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))))),
% 3.44/2.42 inference(skolemize,[status(sab)],[53])).
% 3.44/2.42 tff(55,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))),
% 3.44/2.42 inference(modus_ponens,[status(thm)],[54, 50])).
% 3.44/2.42 tff(56,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.44/2.42 inference(modus_ponens,[status(thm)],[55, 48])).
% 3.44/2.42 tff(57,plain,
% 3.44/2.42 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.47/2.42 inference(modus_ponens,[status(thm)],[56, 46])).
% 3.47/2.42 tff(58,plain,
% 3.47/2.42 ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | (~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0)))))))))),
% 3.47/2.42 inference(quant_inst,[status(thm)],[])).
% 3.47/2.42 tff(59,plain,
% 3.47/2.42 (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | (~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))))))),
% 3.47/2.42 inference(unit_resolution,[status(thm)],[58, 57])).
% 3.47/2.42 tff(60,plain,
% 3.47/2.42 (((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | (~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0)))))))) | ((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))),
% 3.47/2.42 inference(tautology,[status(thm)],[])).
% 3.47/2.42 tff(61,plain,
% 3.47/2.42 ((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0)))))),
% 3.47/2.42 inference(unit_resolution,[status(thm)],[60, 59])).
% 3.47/2.42 tff(62,plain,
% 3.47/2.42 (?[X103: $i] : occurrence_of(X103, tptp0) <=> ?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.47/2.42 inference(rewrite,[status(thm)],[])).
% 3.47/2.42 tff(63,plain,
% 3.47/2.42 ((~(~?[X103: $i] : occurrence_of(X103, tptp0))) <=> ?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.47/2.42 inference(rewrite,[status(thm)],[])).
% 3.47/2.42 tff(64,plain,
% 3.47/2.42 ((~?[X103: $i] : occurrence_of(X103, tptp0)) <=> (~?[X103: $i] : occurrence_of(X103, tptp0))),
% 3.47/2.42 inference(rewrite,[status(thm)],[])).
% 3.47/2.42 tff(65,plain,
% 3.47/2.42 ((~(~?[X103: $i] : occurrence_of(X103, tptp0))) <=> (~(~?[X103: $i] : occurrence_of(X103, tptp0)))),
% 3.47/2.42 inference(monotonicity,[status(thm)],[64])).
% 3.47/2.42 tff(66,plain,
% 3.47/2.42 ((~(~?[X103: $i] : occurrence_of(X103, tptp0))) <=> ?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.47/2.42 inference(transitivity,[status(thm)],[65, 63])).
% 3.47/2.42 tff(67,axiom,(~(~?[X103: $i] : occurrence_of(X103, tptp0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 3.47/2.42 tff(68,plain,
% 3.47/2.42 (?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.47/2.42 inference(modus_ponens,[status(thm)],[67, 66])).
% 3.47/2.42 tff(69,plain,
% 3.47/2.42 (?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.47/2.42 inference(modus_ponens,[status(thm)],[68, 62])).
% 3.47/2.42 tff(70,plain,(
% 3.47/2.42 occurrence_of(X103!17, tptp0)),
% 3.47/2.42 inference(skolemize,[status(sab)],[69])).
% 3.47/2.42 tff(71,plain,
% 3.47/2.42 (^[X89: $i, X90: $i] : refl(((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 3.47/2.42 inference(bind,[status(th)],[])).
% 3.47/2.42 tff(72,plain,
% 3.47/2.42 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.47/2.42 inference(quant_intro,[status(thm)],[71])).
% 3.47/2.42 tff(73,plain,
% 3.47/2.42 (^[X89: $i, X90: $i] : rewrite(((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 3.47/2.42 inference(bind,[status(th)],[])).
% 3.47/2.42 tff(74,plain,
% 3.47/2.42 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.47/2.42 inference(quant_intro,[status(thm)],[73])).
% 3.47/2.42 tff(75,plain,
% 3.47/2.42 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.47/2.42 inference(rewrite,[status(thm)],[])).
% 3.47/2.42 tff(76,plain,
% 3.47/2.42 (^[X89: $i, X90: $i] : rewrite((occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))))),
% 3.47/2.42 inference(bind,[status(th)],[])).
% 3.47/2.42 tff(77,plain,
% 3.47/2.42 (![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.47/2.42 inference(quant_intro,[status(thm)],[76])).
% 3.47/2.42 tff(78,axiom,(![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_29')).
% 3.47/2.42 tff(79,plain,
% 3.47/2.42 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.47/2.42 inference(modus_ponens,[status(thm)],[78, 77])).
% 3.47/2.42 tff(80,plain,
% 3.47/2.42 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.47/2.42 inference(modus_ponens,[status(thm)],[79, 75])).
% 3.47/2.42 tff(81,plain,(
% 3.47/2.42 ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.47/2.42 inference(skolemize,[status(sab)],[80])).
% 3.47/2.42 tff(82,plain,
% 3.47/2.42 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.47/2.42 inference(modus_ponens,[status(thm)],[81, 74])).
% 3.47/2.42 tff(83,plain,
% 3.47/2.42 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.47/2.42 inference(modus_ponens,[status(thm)],[82, 72])).
% 3.47/2.42 tff(84,plain,
% 3.47/2.42 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X103!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X103!17)))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X103!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X103!17)))))),
% 3.47/2.42 inference(rewrite,[status(thm)],[])).
% 3.47/2.42 tff(85,plain,
% 3.47/2.42 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X103!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X103!17)))))),
% 3.47/2.42 inference(quant_inst,[status(thm)],[])).
% 3.47/2.42 tff(86,plain,
% 3.47/2.42 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X103!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X103!17))))),
% 3.47/2.42 inference(modus_ponens,[status(thm)],[85, 84])).
% 3.47/2.43 tff(87,plain,
% 3.47/2.43 (~((~activity(tptp0)) | (~activity_occurrence(X103!17)))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[86, 83, 70])).
% 3.47/2.43 tff(88,plain,
% 3.47/2.43 (((~activity(tptp0)) | (~activity_occurrence(X103!17))) | activity_occurrence(X103!17)),
% 3.47/2.43 inference(tautology,[status(thm)],[])).
% 3.47/2.43 tff(89,plain,
% 3.47/2.43 (activity_occurrence(X103!17)),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[88, 87])).
% 3.47/2.43 tff(90,plain,
% 3.47/2.43 (^[X52: $i] : refl(((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))) <=> ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(91,plain,
% 3.47/2.43 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[90])).
% 3.47/2.43 tff(92,plain,
% 3.47/2.43 (^[X52: $i] : rewrite(((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52)))) <=> ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(93,plain,
% 3.47/2.43 (![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52)))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[92])).
% 3.47/2.43 tff(94,plain,
% 3.47/2.43 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.47/2.43 inference(rewrite,[status(thm)],[])).
% 3.47/2.43 tff(95,plain,
% 3.47/2.43 (^[X52: $i] : rewrite((activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(96,plain,
% 3.47/2.43 (![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[95])).
% 3.47/2.43 tff(97,axiom,(![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_18')).
% 3.47/2.43 tff(98,plain,
% 3.47/2.43 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[97, 96])).
% 3.47/2.43 tff(99,plain,
% 3.47/2.43 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[98, 94])).
% 3.47/2.43 tff(100,plain,(
% 3.47/2.43 ![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52))))),
% 3.47/2.43 inference(skolemize,[status(sab)],[99])).
% 3.47/2.43 tff(101,plain,
% 3.47/2.43 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[100, 93])).
% 3.47/2.43 tff(102,plain,
% 3.47/2.43 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[101, 91])).
% 3.47/2.43 tff(103,plain,
% 3.47/2.43 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X103!17)) | (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X103!17)) | (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))))),
% 3.47/2.43 inference(rewrite,[status(thm)],[])).
% 3.47/2.43 tff(104,plain,
% 3.47/2.43 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X103!17)) | (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))))),
% 3.47/2.43 inference(quant_inst,[status(thm)],[])).
% 3.47/2.43 tff(105,plain,
% 3.47/2.43 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X103!17)) | (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17)))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[104, 103])).
% 3.47/2.43 tff(106,plain,
% 3.47/2.43 (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[105, 102, 89])).
% 3.47/2.43 tff(107,plain,
% 3.47/2.43 (((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17)))) | occurrence_of(X103!17, tptp_fun_X53_6(X103!17))),
% 3.47/2.43 inference(tautology,[status(thm)],[])).
% 3.47/2.43 tff(108,plain,
% 3.47/2.43 (occurrence_of(X103!17, tptp_fun_X53_6(X103!17))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[107, 106])).
% 3.47/2.43 tff(109,plain,
% 3.47/2.43 (^[X35: $i, X36: $i] : refl((~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(110,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[109])).
% 3.47/2.43 tff(111,plain,
% 3.47/2.43 (^[X35: $i, X36: $i] : rewrite((~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(112,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[111])).
% 3.47/2.43 tff(113,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.47/2.43 inference(transitivity,[status(thm)],[112, 110])).
% 3.47/2.43 tff(114,plain,
% 3.47/2.43 (^[X35: $i, X36: $i] : trans(monotonicity(rewrite(((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) <=> ((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))), rewrite((leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))) <=> (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))), ((((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> (((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35)))))) & (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))), rewrite((((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35)))))) & (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))), ((((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(115,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[114])).
% 3.47/2.43 tff(116,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))) <=> ![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.47/2.43 inference(rewrite,[status(thm)],[])).
% 3.47/2.43 tff(117,plain,
% 3.47/2.43 (^[X35: $i, X36: $i] : rewrite((leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37))) <=> (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(118,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37))) <=> ![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[117])).
% 3.47/2.43 tff(119,axiom,(![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_11')).
% 3.47/2.43 tff(120,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[119, 118])).
% 3.47/2.43 tff(121,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[120, 116])).
% 3.47/2.43 tff(122,plain,(
% 3.47/2.43 ![X35: $i, X36: $i] : (((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))))),
% 3.47/2.43 inference(skolemize,[status(sab)],[121])).
% 3.47/2.43 tff(123,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[122, 115])).
% 3.47/2.43 tff(124,plain,
% 3.47/2.43 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[123, 113])).
% 3.47/2.43 tff(125,plain,
% 3.47/2.43 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, X37)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, X37)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))))))),
% 3.47/2.43 inference(rewrite,[status(thm)],[])).
% 3.47/2.43 tff(126,plain,
% 3.47/2.43 ((~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, X37)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))),
% 3.47/2.43 inference(rewrite,[status(thm)],[])).
% 3.47/2.43 tff(127,plain,
% 3.47/2.43 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, X37)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))))))),
% 3.47/2.43 inference(monotonicity,[status(thm)],[126])).
% 3.47/2.43 tff(128,plain,
% 3.47/2.43 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, X37)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))))))),
% 3.47/2.43 inference(transitivity,[status(thm)],[127, 125])).
% 3.47/2.43 tff(129,plain,
% 3.47/2.43 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))),
% 3.47/2.43 inference(quant_inst,[status(thm)],[])).
% 3.47/2.43 tff(130,plain,
% 3.47/2.43 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, X37)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[129, 128])).
% 3.47/2.43 tff(131,plain,
% 3.47/2.43 (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, X37)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[130, 124])).
% 3.47/2.43 tff(132,plain,
% 3.47/2.43 (((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, X37)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))) | ((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))),
% 3.47/2.43 inference(tautology,[status(thm)],[])).
% 3.47/2.43 tff(133,plain,
% 3.47/2.43 ((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[132, 131])).
% 3.47/2.43 tff(134,plain,
% 3.47/2.43 (^[X95: $i] : refl(((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))) <=> ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(135,plain,
% 3.47/2.43 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[134])).
% 3.47/2.43 tff(136,plain,
% 3.47/2.43 (^[X95: $i] : rewrite(((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & (occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3)) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))) <=> ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(137,plain,
% 3.47/2.43 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & (occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3)) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[136])).
% 3.47/2.43 tff(138,plain,
% 3.47/2.43 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.47/2.43 inference(rewrite,[status(thm)],[])).
% 3.47/2.43 tff(139,plain,
% 3.47/2.43 (^[X95: $i] : trans(monotonicity(quant_intro(proof_bind(^[X96: $i, X97: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2)) <=> (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))), (((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)))), (((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))) & leaf_occ(X97, X95)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))))), (?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))), ((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))))), rewrite((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))) <=> ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))), ((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(140,plain,
% 3.47/2.43 (![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[139])).
% 3.47/2.43 tff(141,axiom,(![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_32')).
% 3.47/2.43 tff(142,plain,
% 3.47/2.43 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[141, 140])).
% 3.47/2.43 tff(143,plain,
% 3.47/2.43 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[142, 138])).
% 3.47/2.43 tff(144,plain,(
% 3.47/2.43 ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & (occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3)) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))),
% 3.47/2.43 inference(skolemize,[status(sab)],[143])).
% 3.47/2.43 tff(145,plain,
% 3.47/2.43 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[144, 137])).
% 3.47/2.43 tff(146,plain,
% 3.47/2.43 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[145, 135])).
% 3.47/2.43 tff(147,plain,
% 3.47/2.43 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X103!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)))))),
% 3.47/2.43 inference(rewrite,[status(thm)],[])).
% 3.47/2.43 tff(148,plain,
% 3.47/2.43 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X103!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)))))),
% 3.47/2.43 inference(quant_inst,[status(thm)],[])).
% 3.47/2.43 tff(149,plain,
% 3.47/2.43 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0))))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[148, 147])).
% 3.47/2.43 tff(150,plain,
% 3.47/2.43 (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[149, 146, 70])).
% 3.47/2.43 tff(151,plain,
% 3.47/2.43 (((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), X103!17)),
% 3.47/2.43 inference(tautology,[status(thm)],[])).
% 3.47/2.43 tff(152,plain,
% 3.47/2.43 (leaf_occ(tptp_fun_X97_14(X103!17), X103!17)),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[151, 150])).
% 3.47/2.43 tff(153,plain,
% 3.47/2.43 ((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))),
% 3.47/2.43 inference(tautology,[status(thm)],[])).
% 3.47/2.43 tff(154,plain,
% 3.47/2.43 ((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[153, 152])).
% 3.47/2.43 tff(155,plain,
% 3.47/2.43 (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[154, 133])).
% 3.47/2.43 tff(156,plain,
% 3.47/2.43 (((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))) | occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.47/2.43 inference(tautology,[status(thm)],[])).
% 3.47/2.43 tff(157,plain,
% 3.47/2.43 (occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.47/2.43 inference(unit_resolution,[status(thm)],[156, 155])).
% 3.47/2.43 tff(158,plain,
% 3.47/2.43 (^[X64: $i, X65: $i, X66: $i] : refl(((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(159,plain,
% 3.47/2.43 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) <=> ![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[158])).
% 3.47/2.43 tff(160,plain,
% 3.47/2.43 (^[X64: $i, X65: $i, X66: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X64, X65) & occurrence_of(X64, X66)) <=> (~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))), ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) <=> (~(~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))))), rewrite((~(~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))) <=> ((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))), ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) <=> ((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))), (((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> (((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) | (X65 = X66)))), rewrite((((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) | (X65 = X66)) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))), (((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(161,plain,
% 3.47/2.43 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[160])).
% 3.47/2.43 tff(162,plain,
% 3.47/2.43 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.47/2.43 inference(rewrite,[status(thm)],[])).
% 3.47/2.43 tff(163,plain,
% 3.47/2.43 (^[X64: $i, X65: $i, X66: $i] : rewrite(((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66)) <=> ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)))),
% 3.47/2.43 inference(bind,[status(th)],[])).
% 3.47/2.43 tff(164,plain,
% 3.47/2.43 (![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.47/2.43 inference(quant_intro,[status(thm)],[163])).
% 3.47/2.43 tff(165,axiom,(![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_22')).
% 3.47/2.43 tff(166,plain,
% 3.47/2.43 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[165, 164])).
% 3.47/2.43 tff(167,plain,
% 3.47/2.43 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[166, 162])).
% 3.47/2.43 tff(168,plain,(
% 3.47/2.43 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.47/2.43 inference(skolemize,[status(sab)],[167])).
% 3.47/2.43 tff(169,plain,
% 3.47/2.43 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[168, 161])).
% 3.47/2.43 tff(170,plain,
% 3.47/2.43 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.47/2.43 inference(modus_ponens,[status(thm)],[169, 159])).
% 3.47/2.44 tff(171,plain,
% 3.47/2.44 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(172,plain,
% 3.47/2.44 (((tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17)))) <=> ((~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(173,plain,
% 3.47/2.44 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))),
% 3.47/2.44 inference(monotonicity,[status(thm)],[172])).
% 3.47/2.44 tff(174,plain,
% 3.47/2.44 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))),
% 3.47/2.44 inference(transitivity,[status(thm)],[173, 171])).
% 3.47/2.44 tff(175,plain,
% 3.47/2.44 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(176,plain,
% 3.47/2.44 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[175, 174])).
% 3.47/2.44 tff(177,plain,
% 3.47/2.44 (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[176, 170, 157, 108])).
% 3.47/2.44 tff(178,plain,
% 3.47/2.44 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(179,plain,
% 3.47/2.44 (((tptp_fun_X53_6(X103!17) = tptp0) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17)))) <=> ((~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(180,plain,
% 3.47/2.44 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp0) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0)))),
% 3.47/2.44 inference(monotonicity,[status(thm)],[179])).
% 3.47/2.44 tff(181,plain,
% 3.47/2.44 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp0) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0))),
% 3.47/2.44 inference(transitivity,[status(thm)],[180, 178])).
% 3.47/2.44 tff(182,plain,
% 3.47/2.44 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp0) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(183,plain,
% 3.47/2.44 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[182, 181])).
% 3.47/2.44 tff(184,plain,
% 3.47/2.44 (tptp_fun_X53_6(X103!17) = tptp0),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[183, 170, 70, 108])).
% 3.47/2.44 tff(185,plain,
% 3.47/2.44 (tptp0 = tptp_fun_X53_6(X103!17)),
% 3.47/2.44 inference(symmetry,[status(thm)],[184])).
% 3.47/2.44 tff(186,plain,
% 3.47/2.44 (tptp0 = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))),
% 3.47/2.44 inference(transitivity,[status(thm)],[185, 177])).
% 3.47/2.44 tff(187,plain,
% 3.47/2.44 (leaf(tptp_fun_X97_14(X103!17), tptp0) <=> leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.47/2.44 inference(monotonicity,[status(thm)],[186])).
% 3.47/2.44 tff(188,plain,
% 3.47/2.44 (leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) <=> leaf(tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.44 inference(symmetry,[status(thm)],[187])).
% 3.47/2.44 tff(189,plain,
% 3.47/2.44 (((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))) | leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(190,plain,
% 3.47/2.44 (leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[189, 155])).
% 3.47/2.44 tff(191,plain,
% 3.47/2.44 (leaf(tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[190, 188])).
% 3.47/2.44 tff(192,plain,
% 3.47/2.44 ((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0)))))),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(193,plain,
% 3.47/2.44 (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[192, 191, 61])).
% 3.47/2.44 tff(194,plain,
% 3.47/2.44 (((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0)))) | ![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(195,plain,
% 3.47/2.44 (![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[194, 193])).
% 3.47/2.44 tff(196,plain,
% 3.47/2.44 ((~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(197,plain,
% 3.47/2.44 ($false),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[196, 195, 41])).
% 3.47/2.44 tff(198,plain,(~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)), inference(lemma,lemma(discharge,[]))).
% 3.47/2.44 tff(199,plain,
% 3.47/2.44 (((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(200,plain,
% 3.47/2.44 ((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[199, 198])).
% 3.47/2.44 tff(201,plain,
% 3.47/2.44 ((~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(202,plain,
% 3.47/2.44 ((~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[201, 200])).
% 3.47/2.44 tff(203,plain,
% 3.47/2.44 (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[202, 40])).
% 3.47/2.44 tff(204,plain,
% 3.47/2.44 (((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))) | next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(205,plain,
% 3.47/2.44 ((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[204, 203])).
% 3.47/2.44 tff(206,plain,
% 3.47/2.44 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp_fun_X97_14(X103!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))))))),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(207,plain,
% 3.47/2.44 (~((~(next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp_fun_X97_14(X103!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))))))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[206, 22])).
% 3.47/2.44 tff(208,plain,
% 3.47/2.44 (((~(next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp_fun_X97_14(X103!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))))),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(209,plain,
% 3.47/2.44 ((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[208, 207])).
% 3.47/2.44 tff(210,plain,
% 3.47/2.44 (((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0))) | next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(211,plain,
% 3.47/2.44 (next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[210, 150])).
% 3.47/2.44 tff(212,plain,
% 3.47/2.44 ((~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(213,plain,
% 3.47/2.44 ((~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[212, 211])).
% 3.47/2.44 tff(214,plain,
% 3.47/2.44 (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[213, 209])).
% 3.47/2.44 tff(215,plain,
% 3.47/2.44 (((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(216,plain,
% 3.47/2.44 (min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[215, 214])).
% 3.47/2.44 tff(217,plain,
% 3.47/2.44 (^[X70: $i, X71: $i, X72: $i] : refl(((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(218,plain,
% 3.47/2.44 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[217])).
% 3.47/2.44 tff(219,plain,
% 3.47/2.44 (^[X70: $i, X71: $i, X72: $i] : rewrite(((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(220,plain,
% 3.47/2.44 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[219])).
% 3.47/2.44 tff(221,plain,
% 3.47/2.44 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(222,plain,
% 3.47/2.44 (^[X70: $i, X71: $i, X72: $i] : trans(monotonicity(quant_intro(proof_bind(^[X73: $i] : rewrite(((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)) <=> (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), (?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)) <=> ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), ((min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> (min_precedes(X71, X72, X70) => ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))))), rewrite((min_precedes(X71, X72, X70) => ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))) <=> ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), ((min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(223,plain,
% 3.47/2.44 (![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[222])).
% 3.47/2.44 tff(224,axiom,(![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_24')).
% 3.47/2.44 tff(225,plain,
% 3.47/2.44 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[224, 223])).
% 3.47/2.44 tff(226,plain,
% 3.47/2.44 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[225, 221])).
% 3.47/2.44 tff(227,plain,(
% 3.47/2.44 ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))),
% 3.47/2.44 inference(skolemize,[status(sab)],[226])).
% 3.47/2.44 tff(228,plain,
% 3.47/2.44 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[227, 220])).
% 3.47/2.44 tff(229,plain,
% 3.47/2.44 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[228, 218])).
% 3.47/2.44 tff(230,plain,
% 3.47/2.44 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(231,plain,
% 3.47/2.44 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(232,plain,
% 3.47/2.44 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[231, 230])).
% 3.47/2.44 tff(233,plain,
% 3.47/2.44 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[232, 229, 216])).
% 3.47/2.44 tff(234,plain,
% 3.47/2.44 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(235,plain,
% 3.47/2.44 (subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[234, 233])).
% 3.47/2.44 tff(236,plain,
% 3.47/2.44 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(237,plain,
% 3.47/2.44 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[236, 233])).
% 3.47/2.44 tff(238,plain,
% 3.47/2.44 (^[X19: $i, X20: $i, X21: $i] : refl(((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))) <=> ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(239,plain,
% 3.47/2.44 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[238])).
% 3.47/2.44 tff(240,plain,
% 3.47/2.44 (^[X19: $i, X20: $i, X21: $i] : rewrite(((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(241,plain,
% 3.47/2.44 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[240])).
% 3.47/2.44 tff(242,plain,
% 3.47/2.44 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(243,plain,
% 3.47/2.44 (^[X19: $i, X20: $i, X21: $i] : rewrite((next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20))) <=> ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(244,plain,
% 3.47/2.44 (![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[243])).
% 3.47/2.44 tff(245,axiom,(![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_05')).
% 3.47/2.44 tff(246,plain,
% 3.47/2.44 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[245, 244])).
% 3.47/2.44 tff(247,plain,
% 3.47/2.44 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[246, 242])).
% 3.47/2.44 tff(248,plain,(
% 3.47/2.44 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.47/2.44 inference(skolemize,[status(sab)],[247])).
% 3.47/2.44 tff(249,plain,
% 3.47/2.44 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[248, 241])).
% 3.47/2.44 tff(250,plain,
% 3.47/2.44 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[249, 239])).
% 3.47/2.44 tff(251,plain,
% 3.47/2.44 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17))))))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(252,plain,
% 3.47/2.44 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17))))))),
% 3.47/2.44 inference(quant_inst,[status(thm)],[])).
% 3.47/2.44 tff(253,plain,
% 3.47/2.44 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17)))))),
% 3.47/2.44 inference(modus_ponens,[status(thm)],[252, 251])).
% 3.47/2.44 tff(254,plain,
% 3.47/2.44 (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17))))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[253, 250, 211])).
% 3.47/2.44 tff(255,plain,
% 3.47/2.44 (((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17)))) | arboreal(tptp_fun_X97_14(X103!17))),
% 3.47/2.44 inference(tautology,[status(thm)],[])).
% 3.47/2.44 tff(256,plain,
% 3.47/2.44 (arboreal(tptp_fun_X97_14(X103!17))),
% 3.47/2.44 inference(unit_resolution,[status(thm)],[255, 254])).
% 3.47/2.44 tff(257,plain,
% 3.47/2.44 (^[X100: $i, X101: $i] : refl((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(258,plain,
% 3.47/2.44 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))) <=> ![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[257])).
% 3.47/2.44 tff(259,plain,
% 3.47/2.44 (^[X100: $i, X101: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) <=> (~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))), ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) <=> (~(~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))))), rewrite((~(~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))), ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))), rewrite((occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0)) <=> (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))), (((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | (occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0))) <=> ((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))))), rewrite(((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))), (((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | (occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))))),
% 3.47/2.44 inference(bind,[status(th)],[])).
% 3.47/2.44 tff(260,plain,
% 3.47/2.44 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | (occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0))) <=> ![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))),
% 3.47/2.44 inference(quant_intro,[status(thm)],[259])).
% 3.47/2.44 tff(261,plain,
% 3.47/2.44 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))),
% 3.47/2.44 inference(rewrite,[status(thm)],[])).
% 3.47/2.44 tff(262,plain,
% 3.47/2.44 (^[X100: $i, X101: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100))), ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> ((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100)) & (~leaf_occ(X100, X101))))), rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))), ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))))), (((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))))), rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))), (((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))))),
% 3.47/2.45 inference(bind,[status(th)],[])).
% 3.47/2.45 tff(263,plain,
% 3.47/2.45 (![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))),
% 3.47/2.45 inference(quant_intro,[status(thm)],[262])).
% 3.47/2.45 tff(264,axiom,(![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_46')).
% 3.47/2.45 tff(265,plain,
% 3.47/2.45 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[264, 263])).
% 3.47/2.45 tff(266,plain,
% 3.47/2.45 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[265, 261])).
% 3.47/2.45 tff(267,plain,(
% 3.47/2.45 ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | (occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))),
% 3.47/2.45 inference(skolemize,[status(sab)],[266])).
% 3.47/2.45 tff(268,plain,
% 3.47/2.45 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[267, 260])).
% 3.47/2.45 tff(269,plain,
% 3.47/2.45 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[268, 258])).
% 3.47/2.45 tff(270,plain,
% 3.47/2.45 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(271,plain,
% 3.47/2.45 ((leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))) <=> ((~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(272,plain,
% 3.47/2.45 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))),
% 3.47/2.45 inference(monotonicity,[status(thm)],[271])).
% 3.47/2.45 tff(273,plain,
% 3.47/2.45 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))),
% 3.47/2.45 inference(transitivity,[status(thm)],[272, 270])).
% 3.47/2.45 tff(274,plain,
% 3.47/2.45 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))),
% 3.47/2.45 inference(quant_inst,[status(thm)],[])).
% 3.47/2.45 tff(275,plain,
% 3.47/2.45 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[274, 273])).
% 3.47/2.45 tff(276,plain,
% 3.47/2.45 (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))),
% 3.47/2.45 inference(unit_resolution,[status(thm)],[275, 269, 256, 237, 235])).
% 3.47/2.45 tff(277,plain,
% 3.47/2.45 (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.45 inference(unit_resolution,[status(thm)],[276, 205])).
% 3.47/2.45 tff(278,plain,
% 3.47/2.45 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(279,plain,
% 3.47/2.45 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))),
% 3.47/2.45 inference(quant_inst,[status(thm)],[])).
% 3.47/2.45 tff(280,plain,
% 3.47/2.45 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[279, 278])).
% 3.47/2.45 tff(281,plain,
% 3.47/2.45 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))),
% 3.47/2.45 inference(unit_resolution,[status(thm)],[280, 146, 237])).
% 3.47/2.45 tff(282,plain,
% 3.47/2.45 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.45 inference(tautology,[status(thm)],[])).
% 3.47/2.45 tff(283,plain,
% 3.47/2.45 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.45 inference(unit_resolution,[status(thm)],[282, 281])).
% 3.47/2.45 tff(284,plain,
% 3.47/2.45 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(285,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_34')).
% 3.47/2.45 tff(286,plain,
% 3.47/2.45 (~atomic(tptp0)),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[285, 284])).
% 3.47/2.45 tff(287,plain,
% 3.47/2.45 (^[X11: $i, X12: $i, X13: $i, X14: $i] : refl(((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))),
% 3.47/2.45 inference(bind,[status(th)],[])).
% 3.47/2.45 tff(288,plain,
% 3.47/2.45 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.47/2.45 inference(quant_intro,[status(thm)],[287])).
% 3.47/2.45 tff(289,plain,
% 3.47/2.45 (^[X11: $i, X12: $i, X13: $i, X14: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) <=> (~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))), ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) <=> (~(~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))))), rewrite((~(~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))) <=> (atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))), ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) <=> (atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))), (((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ((atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) | (X11 = X12)))), rewrite(((atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) | (X11 = X12)) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))), (((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))))),
% 3.47/2.45 inference(bind,[status(th)],[])).
% 3.47/2.45 tff(290,plain,
% 3.47/2.45 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.47/2.45 inference(quant_intro,[status(thm)],[289])).
% 3.47/2.45 tff(291,plain,
% 3.47/2.45 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(292,plain,
% 3.47/2.45 (^[X11: $i, X12: $i, X13: $i, X14: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13))), ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> ((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)))), rewrite(((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))), ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)))), (((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) => (X11 = X12)))), rewrite(((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))), (((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))))),
% 3.47/2.45 inference(bind,[status(th)],[])).
% 3.47/2.45 tff(293,plain,
% 3.47/2.45 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.47/2.45 inference(quant_intro,[status(thm)],[292])).
% 3.47/2.45 tff(294,axiom,(![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_03')).
% 3.47/2.45 tff(295,plain,
% 3.47/2.45 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[294, 293])).
% 3.47/2.45 tff(296,plain,
% 3.47/2.45 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[295, 291])).
% 3.47/2.45 tff(297,plain,(
% 3.47/2.45 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.47/2.45 inference(skolemize,[status(sab)],[296])).
% 3.47/2.45 tff(298,plain,
% 3.47/2.45 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[297, 290])).
% 3.47/2.45 tff(299,plain,
% 3.47/2.45 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[298, 288])).
% 3.47/2.45 tff(300,plain,
% 3.47/2.45 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(301,plain,
% 3.47/2.45 (((tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.45 inference(rewrite,[status(thm)],[])).
% 3.47/2.45 tff(302,plain,
% 3.47/2.45 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.45 inference(monotonicity,[status(thm)],[301])).
% 3.47/2.45 tff(303,plain,
% 3.47/2.45 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.45 inference(transitivity,[status(thm)],[302, 300])).
% 3.47/2.45 tff(304,plain,
% 3.47/2.45 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.45 inference(quant_inst,[status(thm)],[])).
% 3.47/2.45 tff(305,plain,
% 3.47/2.45 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[304, 303])).
% 3.47/2.45 tff(306,plain,
% 3.47/2.45 (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.45 inference(unit_resolution,[status(thm)],[305, 299, 286, 237, 283, 277])).
% 3.47/2.45 tff(307,plain,
% 3.47/2.45 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) = tptp_fun_X97_14(X103!17)),
% 3.47/2.45 inference(symmetry,[status(thm)],[306])).
% 3.47/2.45 tff(308,plain,
% 3.47/2.45 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17) <=> leaf_occ(tptp_fun_X97_14(X103!17), X103!17)),
% 3.47/2.45 inference(monotonicity,[status(thm)],[307])).
% 3.47/2.45 tff(309,plain,
% 3.47/2.45 (leaf_occ(tptp_fun_X97_14(X103!17), X103!17) <=> leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)),
% 3.47/2.45 inference(symmetry,[status(thm)],[308])).
% 3.47/2.45 tff(310,plain,
% 3.47/2.45 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)),
% 3.47/2.45 inference(modus_ponens,[status(thm)],[152, 309])).
% 3.47/2.45 tff(311,assumption,(tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), introduced(assumption)).
% 3.47/2.45 tff(312,plain,
% 3.47/2.45 (root(tptp_fun_X93_13(X103!17, tptp0), tptp0) <=> root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.45 inference(monotonicity,[status(thm)],[311])).
% 3.47/2.45 tff(313,plain,
% 3.47/2.45 (root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) <=> root(tptp_fun_X93_13(X103!17, tptp0), tptp0)),
% 3.47/2.45 inference(symmetry,[status(thm)],[312])).
% 3.47/2.45 tff(314,plain,
% 3.47/2.45 ((~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) <=> (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.45 inference(monotonicity,[status(thm)],[313])).
% 3.47/2.45 tff(315,plain,
% 3.47/2.45 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))))))),
% 3.47/2.45 inference(quant_inst,[status(thm)],[])).
% 3.47/2.45 tff(316,plain,
% 3.47/2.45 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))))))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[315, 22])).
% 3.47/2.46 tff(317,plain,
% 3.47/2.46 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))))),
% 3.47/2.46 inference(tautology,[status(thm)],[])).
% 3.47/2.46 tff(318,plain,
% 3.47/2.46 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[317, 316])).
% 3.47/2.46 tff(319,plain,
% 3.47/2.46 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.46 inference(tautology,[status(thm)],[])).
% 3.47/2.46 tff(320,plain,
% 3.47/2.46 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[319, 281])).
% 3.47/2.46 tff(321,plain,
% 3.47/2.46 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))),
% 3.47/2.46 inference(tautology,[status(thm)],[])).
% 3.47/2.46 tff(322,plain,
% 3.47/2.46 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[321, 320])).
% 3.47/2.46 tff(323,plain,
% 3.47/2.46 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[322, 318])).
% 3.47/2.46 tff(324,plain,
% 3.47/2.46 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.46 inference(tautology,[status(thm)],[])).
% 3.47/2.46 tff(325,plain,
% 3.47/2.46 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[324, 323])).
% 3.47/2.46 tff(326,plain,
% 3.47/2.46 (^[X25: $i, X26: $i, X27: $i] : refl(((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(327,plain,
% 3.47/2.46 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[326])).
% 3.47/2.46 tff(328,plain,
% 3.47/2.46 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(329,plain,
% 3.47/2.46 (^[X25: $i, X26: $i, X27: $i] : rewrite((min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(330,plain,
% 3.47/2.46 (![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[329])).
% 3.47/2.46 tff(331,axiom,(![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_07')).
% 3.47/2.46 tff(332,plain,
% 3.47/2.46 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[331, 330])).
% 3.47/2.46 tff(333,plain,
% 3.47/2.46 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[332, 328])).
% 3.47/2.46 tff(334,plain,(
% 3.47/2.46 ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.47/2.46 inference(skolemize,[status(sab)],[333])).
% 3.47/2.46 tff(335,plain,
% 3.47/2.46 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[334, 327])).
% 3.47/2.46 tff(336,plain,
% 3.47/2.46 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(337,plain,
% 3.47/2.46 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(338,plain,
% 3.47/2.46 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[337, 336])).
% 3.47/2.46 tff(339,plain,
% 3.47/2.46 (~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[338, 335, 325])).
% 3.47/2.46 tff(340,plain,
% 3.47/2.46 (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[339, 314])).
% 3.47/2.46 tff(341,plain,
% 3.47/2.46 (^[X91: $i, X92: $i] : refl((atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(342,plain,
% 3.47/2.46 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> ![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[341])).
% 3.47/2.46 tff(343,plain,
% 3.47/2.46 (^[X91: $i, X92: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X92, X91) & (~atomic(X91))) <=> (~(atomic(X91) | (~occurrence_of(X92, X91))))), ((~(occurrence_of(X92, X91) & (~atomic(X91)))) <=> (~(~(atomic(X91) | (~occurrence_of(X92, X91))))))), rewrite((~(~(atomic(X91) | (~occurrence_of(X92, X91))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)))), ((~(occurrence_of(X92, X91) & (~atomic(X91)))) <=> (atomic(X91) | (~occurrence_of(X92, X91))))), rewrite((root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)) <=> (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))), (((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> ((atomic(X91) | (~occurrence_of(X92, X91))) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))))), rewrite(((atomic(X91) | (~occurrence_of(X92, X91))) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))), (((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(344,plain,
% 3.47/2.46 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> ![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[343])).
% 3.47/2.46 tff(345,plain,
% 3.47/2.46 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(346,plain,
% 3.47/2.46 (^[X91: $i, X92: $i] : rewrite(((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(347,plain,
% 3.47/2.46 (![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[346])).
% 3.47/2.46 tff(348,axiom,(![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_30')).
% 3.47/2.46 tff(349,plain,
% 3.47/2.46 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[348, 347])).
% 3.47/2.46 tff(350,plain,
% 3.47/2.46 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[349, 345])).
% 3.47/2.46 tff(351,plain,(
% 3.47/2.46 ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))),
% 3.47/2.46 inference(skolemize,[status(sab)],[350])).
% 3.47/2.46 tff(352,plain,
% 3.47/2.46 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[351, 344])).
% 3.47/2.46 tff(353,plain,
% 3.47/2.46 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[352, 342])).
% 3.47/2.46 tff(354,plain,
% 3.47/2.46 (((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)))))) <=> ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)))))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(355,plain,
% 3.47/2.46 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)))))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(356,plain,
% 3.47/2.46 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17))))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[355, 354])).
% 3.47/2.46 tff(357,plain,
% 3.47/2.46 (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[356, 353, 286, 70])).
% 3.47/2.46 tff(358,plain,
% 3.47/2.46 (((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17))) | root(tptp_fun_X93_13(X103!17, tptp0), tptp0)),
% 3.47/2.46 inference(tautology,[status(thm)],[])).
% 3.47/2.46 tff(359,plain,
% 3.47/2.46 (root(tptp_fun_X93_13(X103!17, tptp0), tptp0)),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[358, 357])).
% 3.47/2.46 tff(360,plain,
% 3.47/2.46 ($false),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[359, 340])).
% 3.47/2.46 tff(361,plain,(~(tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 3.47/2.46 tff(362,assumption,(leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)), introduced(assumption)).
% 3.47/2.46 tff(363,plain,
% 3.47/2.46 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(364,plain,
% 3.47/2.46 (((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17))) <=> (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(365,plain,
% 3.47/2.46 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.46 inference(monotonicity,[status(thm)],[364])).
% 3.47/2.46 tff(366,plain,
% 3.47/2.46 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.46 inference(transitivity,[status(thm)],[365, 363])).
% 3.47/2.46 tff(367,plain,
% 3.47/2.46 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(368,plain,
% 3.47/2.46 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[367, 366])).
% 3.47/2.46 tff(369,plain,
% 3.47/2.46 ($false),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[368, 299, 286, 70, 362, 361, 310])).
% 3.47/2.46 tff(370,plain,(~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)), inference(lemma,lemma(discharge,[]))).
% 3.47/2.46 tff(371,plain,
% 3.47/2.46 (^[X38: $i, X39: $i] : refl(((~root(X38, X39)) | legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(372,plain,
% 3.47/2.46 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[371])).
% 3.47/2.46 tff(373,plain,
% 3.47/2.46 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(374,plain,
% 3.47/2.46 (^[X38: $i, X39: $i] : rewrite((root(X38, X39) => legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(375,plain,
% 3.47/2.46 (![X38: $i, X39: $i] : (root(X38, X39) => legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[374])).
% 3.47/2.46 tff(376,axiom,(![X38: $i, X39: $i] : (root(X38, X39) => legal(X38))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_12')).
% 3.47/2.46 tff(377,plain,
% 3.47/2.46 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[376, 375])).
% 3.47/2.46 tff(378,plain,
% 3.47/2.46 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[377, 373])).
% 3.47/2.46 tff(379,plain,(
% 3.47/2.46 ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.47/2.46 inference(skolemize,[status(sab)],[378])).
% 3.47/2.46 tff(380,plain,
% 3.47/2.46 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[379, 372])).
% 3.47/2.46 tff(381,plain,
% 3.47/2.46 (((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X103!17, tptp0)))) <=> ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(382,plain,
% 3.47/2.46 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(383,plain,
% 3.47/2.46 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X103!17, tptp0))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[382, 381])).
% 3.47/2.46 tff(384,plain,
% 3.47/2.46 (legal(tptp_fun_X93_13(X103!17, tptp0))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[383, 380, 359])).
% 3.47/2.46 tff(385,plain,
% 3.47/2.46 (^[X51: $i] : refl((arboreal(X51) | (~legal(X51))) <=> (arboreal(X51) | (~legal(X51))))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(386,plain,
% 3.47/2.46 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[385])).
% 3.47/2.46 tff(387,plain,
% 3.47/2.46 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(388,plain,
% 3.47/2.46 (^[X51: $i] : rewrite((legal(X51) => arboreal(X51)) <=> (arboreal(X51) | (~legal(X51))))),
% 3.47/2.46 inference(bind,[status(th)],[])).
% 3.47/2.46 tff(389,plain,
% 3.47/2.46 (![X51: $i] : (legal(X51) => arboreal(X51)) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.47/2.46 inference(quant_intro,[status(thm)],[388])).
% 3.47/2.46 tff(390,axiom,(![X51: $i] : (legal(X51) => arboreal(X51))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_17')).
% 3.47/2.46 tff(391,plain,
% 3.47/2.46 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[390, 389])).
% 3.47/2.46 tff(392,plain,
% 3.47/2.46 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[391, 387])).
% 3.47/2.46 tff(393,plain,(
% 3.47/2.46 ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.47/2.46 inference(skolemize,[status(sab)],[392])).
% 3.47/2.46 tff(394,plain,
% 3.47/2.46 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[393, 386])).
% 3.47/2.46 tff(395,plain,
% 3.47/2.46 (((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(X103!17, tptp0)) | (~legal(tptp_fun_X93_13(X103!17, tptp0))))) <=> ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(X103!17, tptp0)) | (~legal(tptp_fun_X93_13(X103!17, tptp0))))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(396,plain,
% 3.47/2.46 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(X103!17, tptp0)) | (~legal(tptp_fun_X93_13(X103!17, tptp0))))),
% 3.47/2.46 inference(quant_inst,[status(thm)],[])).
% 3.47/2.46 tff(397,plain,
% 3.47/2.46 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(X103!17, tptp0)) | (~legal(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.47/2.46 inference(modus_ponens,[status(thm)],[396, 395])).
% 3.47/2.46 tff(398,plain,
% 3.47/2.46 (arboreal(tptp_fun_X93_13(X103!17, tptp0))),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[397, 394, 384])).
% 3.47/2.46 tff(399,plain,
% 3.47/2.46 (((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17))) | subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.47/2.46 inference(tautology,[status(thm)],[])).
% 3.47/2.46 tff(400,plain,
% 3.47/2.46 (subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.47/2.46 inference(unit_resolution,[status(thm)],[399, 357])).
% 3.47/2.46 tff(401,plain,
% 3.47/2.46 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(402,plain,
% 3.47/2.46 ((leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))) <=> ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.47/2.46 inference(rewrite,[status(thm)],[])).
% 3.47/2.46 tff(403,plain,
% 3.47/2.46 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))),
% 3.47/2.46 inference(monotonicity,[status(thm)],[402])).
% 3.47/2.46 tff(404,plain,
% 3.47/2.46 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.47/2.47 inference(transitivity,[status(thm)],[403, 401])).
% 3.47/2.47 tff(405,plain,
% 3.47/2.47 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(406,plain,
% 3.47/2.47 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[405, 404])).
% 3.47/2.47 tff(407,plain,
% 3.47/2.47 (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[406, 269, 70, 400])).
% 3.47/2.47 tff(408,plain,
% 3.47/2.47 (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[407, 398])).
% 3.47/2.47 tff(409,plain,
% 3.47/2.47 (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[408, 370])).
% 3.47/2.47 tff(410,plain,
% 3.47/2.47 (((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))) | next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.47/2.47 inference(tautology,[status(thm)],[])).
% 3.47/2.47 tff(411,plain,
% 3.47/2.47 (next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[410, 409])).
% 3.47/2.47 tff(412,plain,
% 3.47/2.47 ((~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))),
% 3.47/2.47 inference(tautology,[status(thm)],[])).
% 3.47/2.47 tff(413,plain,
% 3.47/2.47 ((~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[412, 411])).
% 3.47/2.47 tff(414,plain,
% 3.47/2.47 (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[413, 31])).
% 3.47/2.47 tff(415,plain,
% 3.47/2.47 (((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))) | min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.47/2.47 inference(tautology,[status(thm)],[])).
% 3.47/2.47 tff(416,plain,
% 3.47/2.47 (min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[415, 414])).
% 3.47/2.47 tff(417,plain,
% 3.47/2.47 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(418,plain,
% 3.47/2.47 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(419,plain,
% 3.47/2.47 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[418, 417])).
% 3.47/2.47 tff(420,plain,
% 3.47/2.47 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[419, 229, 416])).
% 3.47/2.47 tff(421,plain,
% 3.47/2.47 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)),
% 3.47/2.47 inference(tautology,[status(thm)],[])).
% 3.47/2.47 tff(422,plain,
% 3.47/2.47 (occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[421, 420])).
% 3.47/2.47 tff(423,plain,
% 3.47/2.47 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(424,plain,
% 3.47/2.47 (((tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(425,plain,
% 3.47/2.47 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0)))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[424])).
% 3.47/2.47 tff(426,plain,
% 3.47/2.47 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0))),
% 3.47/2.47 inference(transitivity,[status(thm)],[425, 423])).
% 3.47/2.47 tff(427,plain,
% 3.47/2.47 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(428,plain,
% 3.47/2.47 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[427, 426])).
% 3.47/2.47 tff(429,plain,
% 3.47/2.47 (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) = tptp0),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[428, 170, 422, 3])).
% 3.47/2.47 tff(430,plain,
% 3.47/2.47 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[306])).
% 3.47/2.47 tff(431,plain,
% 3.47/2.47 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.47 inference(symmetry,[status(thm)],[430])).
% 3.47/2.47 tff(432,plain,
% 3.47/2.47 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[325, 431])).
% 3.47/2.47 tff(433,plain,
% 3.47/2.47 (((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))),
% 3.47/2.47 inference(tautology,[status(thm)],[])).
% 3.47/2.47 tff(434,plain,
% 3.47/2.47 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[433, 214])).
% 3.47/2.47 tff(435,plain,
% 3.47/2.47 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(436,plain,
% 3.47/2.47 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))) <=> ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(437,plain,
% 3.47/2.47 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0))))),
% 3.47/2.47 inference(monotonicity,[status(thm)],[436])).
% 3.47/2.47 tff(438,plain,
% 3.47/2.47 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)))),
% 3.47/2.47 inference(transitivity,[status(thm)],[437, 435])).
% 3.47/2.47 tff(439,plain,
% 3.47/2.47 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(440,plain,
% 3.47/2.47 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0))),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[439, 438])).
% 3.47/2.47 tff(441,plain,
% 3.47/2.47 ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[440, 434])).
% 3.47/2.47 tff(442,plain,
% 3.47/2.47 (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[441, 432])).
% 3.47/2.47 tff(443,plain,
% 3.47/2.47 (min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.47/2.47 inference(monotonicity,[status(thm)],[307])).
% 3.47/2.47 tff(444,plain,
% 3.47/2.47 (min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0) <=> min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.47 inference(symmetry,[status(thm)],[443])).
% 3.47/2.47 tff(445,plain,
% 3.47/2.47 (min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[216, 444])).
% 3.47/2.47 tff(446,plain,
% 3.47/2.47 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))),
% 3.47/2.47 inference(tautology,[status(thm)],[])).
% 3.47/2.47 tff(447,plain,
% 3.47/2.47 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[446, 323])).
% 3.47/2.47 tff(448,plain,
% 3.47/2.47 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.47 inference(rewrite,[status(thm)],[])).
% 3.47/2.47 tff(449,plain,
% 3.47/2.47 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.47 inference(quant_inst,[status(thm)],[])).
% 3.47/2.47 tff(450,plain,
% 3.47/2.47 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.47 inference(modus_ponens,[status(thm)],[449, 448])).
% 3.47/2.47 tff(451,plain,
% 3.47/2.47 ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[450, 447])).
% 3.47/2.47 tff(452,plain,
% 3.47/2.47 (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0)),
% 3.47/2.47 inference(unit_resolution,[status(thm)],[451, 445])).
% 3.47/2.47 tff(453,plain,
% 3.47/2.47 (^[X32: $i, X33: $i] : refl((~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))))),
% 3.47/2.48 inference(bind,[status(th)],[])).
% 3.47/2.48 tff(454,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.47/2.48 inference(quant_intro,[status(thm)],[453])).
% 3.47/2.48 tff(455,plain,
% 3.47/2.48 (^[X32: $i, X33: $i] : rewrite((~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))))),
% 3.47/2.48 inference(bind,[status(th)],[])).
% 3.47/2.48 tff(456,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.47/2.48 inference(quant_intro,[status(thm)],[455])).
% 3.47/2.48 tff(457,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.47/2.48 inference(transitivity,[status(thm)],[456, 454])).
% 3.47/2.48 tff(458,plain,
% 3.47/2.48 (^[X32: $i, X33: $i] : trans(monotonicity(rewrite(((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) <=> ((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))), rewrite((root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))) <=> (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))), ((((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> (((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32)))))) & (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))), rewrite((((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32)))))) & (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))), ((((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))))),
% 3.47/2.48 inference(bind,[status(th)],[])).
% 3.47/2.48 tff(459,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.47/2.48 inference(quant_intro,[status(thm)],[458])).
% 3.47/2.48 tff(460,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))) <=> ![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.47/2.48 inference(rewrite,[status(thm)],[])).
% 3.47/2.48 tff(461,plain,
% 3.47/2.48 (^[X32: $i, X33: $i] : rewrite((root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34))) <=> (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))),
% 3.47/2.48 inference(bind,[status(th)],[])).
% 3.47/2.48 tff(462,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34))) <=> ![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.47/2.48 inference(quant_intro,[status(thm)],[461])).
% 3.47/2.48 tff(463,axiom,(![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_10')).
% 3.47/2.48 tff(464,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[463, 462])).
% 3.47/2.48 tff(465,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[464, 460])).
% 3.47/2.48 tff(466,plain,(
% 3.47/2.48 ![X32: $i, X33: $i] : (((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))))),
% 3.47/2.48 inference(skolemize,[status(sab)],[465])).
% 3.47/2.48 tff(467,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[466, 459])).
% 3.47/2.48 tff(468,plain,
% 3.47/2.48 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[467, 457])).
% 3.47/2.48 tff(469,plain,
% 3.47/2.48 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34)))))))),
% 3.47/2.48 inference(quant_inst,[status(thm)],[])).
% 3.47/2.48 tff(470,plain,
% 3.47/2.48 (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[469, 468])).
% 3.47/2.48 tff(471,plain,
% 3.47/2.48 (((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34)))))) | ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))),
% 3.47/2.48 inference(tautology,[status(thm)],[])).
% 3.47/2.48 tff(472,plain,
% 3.47/2.48 ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[471, 470])).
% 3.47/2.48 tff(473,plain,
% 3.47/2.48 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.48 inference(tautology,[status(thm)],[])).
% 3.47/2.48 tff(474,plain,
% 3.47/2.48 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[473, 281])).
% 3.47/2.48 tff(475,plain,
% 3.47/2.48 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.47/2.48 inference(tautology,[status(thm)],[])).
% 3.47/2.48 tff(476,plain,
% 3.47/2.48 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[475, 474])).
% 3.47/2.48 tff(477,plain,
% 3.47/2.48 (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[476, 472])).
% 3.47/2.48 tff(478,plain,
% 3.47/2.48 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.48 inference(tautology,[status(thm)],[])).
% 3.47/2.48 tff(479,plain,
% 3.47/2.48 (subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[478, 477])).
% 3.47/2.48 tff(480,plain,
% 3.47/2.48 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.47/2.48 inference(rewrite,[status(thm)],[])).
% 3.47/2.48 tff(481,plain,
% 3.47/2.48 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.47/2.48 inference(quant_inst,[status(thm)],[])).
% 3.47/2.48 tff(482,plain,
% 3.47/2.48 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[481, 480])).
% 3.47/2.48 tff(483,plain,
% 3.47/2.48 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[482, 250, 320])).
% 3.47/2.48 tff(484,plain,
% 3.47/2.48 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.48 inference(tautology,[status(thm)],[])).
% 3.47/2.48 tff(485,plain,
% 3.47/2.48 (arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[484, 483])).
% 3.47/2.48 tff(486,plain,
% 3.47/2.48 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.48 inference(tautology,[status(thm)],[])).
% 3.47/2.48 tff(487,plain,
% 3.47/2.48 (subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[486, 233])).
% 3.47/2.48 tff(488,plain,
% 3.47/2.48 (((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17)))) | arboreal(tptp_fun_X96_15(X103!17))),
% 3.47/2.48 inference(tautology,[status(thm)],[])).
% 3.47/2.48 tff(489,plain,
% 3.47/2.48 (arboreal(tptp_fun_X96_15(X103!17))),
% 3.47/2.48 inference(unit_resolution,[status(thm)],[488, 254])).
% 3.47/2.48 tff(490,plain,
% 3.47/2.48 (^[X85: $i, X86: $i, X87: $i, X88: $i] : refl(((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))),
% 3.47/2.48 inference(bind,[status(th)],[])).
% 3.47/2.48 tff(491,plain,
% 3.47/2.48 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.47/2.48 inference(quant_intro,[status(thm)],[490])).
% 3.47/2.48 tff(492,plain,
% 3.47/2.48 (^[X85: $i, X86: $i, X87: $i, X88: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) <=> (~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))), ((~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))) <=> (~(~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))))), rewrite((~(~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))) <=> ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))), ((~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))) <=> ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))), (((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))))), rewrite(((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))), (((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))))),
% 3.47/2.48 inference(bind,[status(th)],[])).
% 3.47/2.48 tff(493,plain,
% 3.47/2.48 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.47/2.48 inference(quant_intro,[status(thm)],[492])).
% 3.47/2.48 tff(494,plain,
% 3.47/2.48 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.47/2.48 inference(rewrite,[status(thm)],[])).
% 3.47/2.48 tff(495,plain,
% 3.47/2.48 (^[X85: $i, X86: $i, X87: $i, X88: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88))), ((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88)) & subactivity_occurrence(X87, X86)))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86))), ((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)))), (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))), (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))), trans(monotonicity(rewrite((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) <=> (min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))), (((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)) <=> ((min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)) | (X87 = X88)))), rewrite(((min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)) | (X87 = X88)) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))), (((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)))), ((((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) => ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) => ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))), ((((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))))),
% 3.47/2.48 inference(bind,[status(th)],[])).
% 3.47/2.48 tff(496,plain,
% 3.47/2.48 (![X85: $i, X86: $i, X87: $i, X88: $i] : (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.47/2.48 inference(quant_intro,[status(thm)],[495])).
% 3.47/2.48 tff(497,axiom,(![X85: $i, X86: $i, X87: $i, X88: $i] : (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_28')).
% 3.47/2.48 tff(498,plain,
% 3.47/2.48 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[497, 496])).
% 3.47/2.48 tff(499,plain,
% 3.47/2.48 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[498, 494])).
% 3.47/2.48 tff(500,plain,(
% 3.47/2.48 ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.47/2.48 inference(skolemize,[status(sab)],[499])).
% 3.47/2.48 tff(501,plain,
% 3.47/2.48 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[500, 493])).
% 3.47/2.48 tff(502,plain,
% 3.47/2.48 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.47/2.48 inference(modus_ponens,[status(thm)],[501, 491])).
% 3.47/2.48 tff(503,plain,
% 3.47/2.48 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.48 inference(rewrite,[status(thm)],[])).
% 3.47/2.48 tff(504,plain,
% 3.47/2.48 (((tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) <=> ((~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.48 inference(rewrite,[status(thm)],[])).
% 3.47/2.48 tff(505,plain,
% 3.47/2.48 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.49 inference(monotonicity,[status(thm)],[504])).
% 3.47/2.49 tff(506,plain,
% 3.47/2.49 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.49 inference(transitivity,[status(thm)],[505, 503])).
% 3.47/2.49 tff(507,plain,
% 3.47/2.49 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.49 inference(quant_inst,[status(thm)],[])).
% 3.47/2.49 tff(508,plain,
% 3.47/2.49 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[507, 506])).
% 3.47/2.49 tff(509,plain,
% 3.47/2.49 (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[508, 502, 489, 237, 487, 485, 479, 452, 442])).
% 3.47/2.49 tff(510,plain,
% 3.47/2.49 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) = tptp_fun_X96_15(X103!17)),
% 3.47/2.49 inference(symmetry,[status(thm)],[509])).
% 3.47/2.49 tff(511,plain,
% 3.47/2.49 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17) <=> root_occ(tptp_fun_X96_15(X103!17), X103!17)),
% 3.47/2.49 inference(monotonicity,[status(thm)],[510])).
% 3.47/2.49 tff(512,plain,
% 3.47/2.49 (root_occ(tptp_fun_X96_15(X103!17), X103!17) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)),
% 3.47/2.49 inference(symmetry,[status(thm)],[511])).
% 3.47/2.49 tff(513,plain,
% 3.47/2.49 (((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0))) | root_occ(tptp_fun_X96_15(X103!17), X103!17)),
% 3.47/2.49 inference(tautology,[status(thm)],[])).
% 3.47/2.49 tff(514,plain,
% 3.47/2.49 (root_occ(tptp_fun_X96_15(X103!17), X103!17)),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[513, 150])).
% 3.47/2.49 tff(515,plain,
% 3.47/2.49 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[514, 512])).
% 3.47/2.49 tff(516,plain,
% 3.47/2.49 (^[X98: $i, X99: $i] : refl((leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) <=> (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))),
% 3.47/2.49 inference(bind,[status(th)],[])).
% 3.47/2.49 tff(517,plain,
% 3.47/2.49 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) <=> ![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))),
% 3.47/2.49 inference(quant_intro,[status(thm)],[516])).
% 3.47/2.49 tff(518,plain,
% 3.47/2.49 (^[X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) <=> (~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))), ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) <=> (~(~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))))), rewrite((~(~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))), ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))), (((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99)) <=> ((leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) | root_occ(X98, X99)))), rewrite(((leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) | root_occ(X98, X99)) <=> (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))), (((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99)) <=> (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))))),
% 3.47/2.49 inference(bind,[status(th)],[])).
% 3.47/2.49 tff(519,plain,
% 3.47/2.49 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99)) <=> ![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))),
% 3.47/2.49 inference(quant_intro,[status(thm)],[518])).
% 3.47/2.49 tff(520,plain,
% 3.47/2.49 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99)) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.47/2.49 inference(rewrite,[status(thm)],[])).
% 3.47/2.49 tff(521,plain,
% 3.47/2.49 (^[X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98))), ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> ((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98)) & (~leaf_occ(X98, X99))))), rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))), ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))))), (((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)) <=> ((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)))), rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)) <=> ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))), (((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)) <=> ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))))),
% 3.47/2.49 inference(bind,[status(th)],[])).
% 3.47/2.49 tff(522,plain,
% 3.47/2.49 (![X98: $i, X99: $i] : ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.47/2.49 inference(quant_intro,[status(thm)],[521])).
% 3.47/2.49 tff(523,axiom,(![X98: $i, X99: $i] : ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => root_occ(X98, X99))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_45')).
% 3.47/2.49 tff(524,plain,
% 3.47/2.49 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[523, 522])).
% 3.47/2.49 tff(525,plain,
% 3.47/2.49 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[524, 520])).
% 3.47/2.49 tff(526,plain,(
% 3.47/2.49 ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.47/2.49 inference(skolemize,[status(sab)],[525])).
% 3.47/2.49 tff(527,plain,
% 3.47/2.49 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[526, 519])).
% 3.47/2.49 tff(528,plain,
% 3.47/2.49 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[527, 517])).
% 3.47/2.49 tff(529,plain,
% 3.47/2.49 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17))),
% 3.47/2.49 inference(rewrite,[status(thm)],[])).
% 3.47/2.49 tff(530,plain,
% 3.47/2.49 ((leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0)))) <=> ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17))),
% 3.47/2.49 inference(rewrite,[status(thm)],[])).
% 3.47/2.49 tff(531,plain,
% 3.47/2.49 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)))),
% 3.47/2.49 inference(monotonicity,[status(thm)],[530])).
% 3.47/2.49 tff(532,plain,
% 3.47/2.49 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17))),
% 3.47/2.49 inference(transitivity,[status(thm)],[531, 529])).
% 3.47/2.49 tff(533,plain,
% 3.47/2.49 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))))),
% 3.47/2.49 inference(quant_inst,[status(thm)],[])).
% 3.47/2.49 tff(534,plain,
% 3.47/2.49 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[533, 532])).
% 3.47/2.49 tff(535,plain,
% 3.47/2.49 (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[534, 528, 70, 400])).
% 3.47/2.49 tff(536,plain,
% 3.47/2.49 (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[535, 398])).
% 3.47/2.49 tff(537,plain,
% 3.47/2.49 (root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[536, 370])).
% 3.47/2.49 tff(538,plain,
% 3.47/2.49 (^[X7: $i, X8: $i, X9: $i, X10: $i] : refl(((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))),
% 3.47/2.49 inference(bind,[status(th)],[])).
% 3.47/2.49 tff(539,plain,
% 3.47/2.49 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.47/2.49 inference(quant_intro,[status(thm)],[538])).
% 3.47/2.49 tff(540,plain,
% 3.47/2.49 (^[X7: $i, X8: $i, X9: $i, X10: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) <=> (~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))), ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) <=> (~(~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))))), rewrite((~(~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))) <=> ((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))), ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) <=> ((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))), (((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> (((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) | (X7 = X8)))), rewrite((((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) | (X7 = X8)) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))), (((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))))),
% 3.47/2.49 inference(bind,[status(th)],[])).
% 3.47/2.49 tff(541,plain,
% 3.47/2.49 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.47/2.49 inference(quant_intro,[status(thm)],[540])).
% 3.47/2.49 tff(542,plain,
% 3.47/2.49 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.47/2.49 inference(rewrite,[status(thm)],[])).
% 3.47/2.49 tff(543,plain,
% 3.47/2.49 (^[X7: $i, X8: $i, X9: $i, X10: $i] : trans(monotonicity(rewrite(((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) <=> (occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))), ((((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) => (X7 = X8)))), rewrite(((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) => (X7 = X8)) <=> ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))), ((((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))))),
% 3.47/2.49 inference(bind,[status(th)],[])).
% 3.47/2.49 tff(544,plain,
% 3.47/2.49 (![X7: $i, X8: $i, X9: $i, X10: $i] : (((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.47/2.49 inference(quant_intro,[status(thm)],[543])).
% 3.47/2.49 tff(545,axiom,(![X7: $i, X8: $i, X9: $i, X10: $i] : (((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_02')).
% 3.47/2.49 tff(546,plain,
% 3.47/2.49 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[545, 544])).
% 3.47/2.49 tff(547,plain,
% 3.47/2.49 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[546, 542])).
% 3.47/2.49 tff(548,plain,(
% 3.47/2.49 ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.47/2.49 inference(skolemize,[status(sab)],[547])).
% 3.47/2.49 tff(549,plain,
% 3.47/2.49 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[548, 541])).
% 3.47/2.49 tff(550,plain,
% 3.47/2.49 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[549, 539])).
% 3.47/2.49 tff(551,plain,
% 3.47/2.49 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.49 inference(rewrite,[status(thm)],[])).
% 3.47/2.49 tff(552,plain,
% 3.47/2.49 (((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17))) <=> ((~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.49 inference(rewrite,[status(thm)],[])).
% 3.47/2.49 tff(553,plain,
% 3.47/2.49 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.49 inference(monotonicity,[status(thm)],[552])).
% 3.47/2.49 tff(554,plain,
% 3.47/2.49 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.49 inference(transitivity,[status(thm)],[553, 551])).
% 3.47/2.49 tff(555,plain,
% 3.47/2.49 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))),
% 3.47/2.49 inference(quant_inst,[status(thm)],[])).
% 3.47/2.49 tff(556,plain,
% 3.47/2.49 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[555, 554])).
% 3.47/2.49 tff(557,plain,
% 3.47/2.49 ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[556, 550, 70, 537])).
% 3.47/2.49 tff(558,plain,
% 3.47/2.49 (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[557, 515])).
% 3.47/2.49 tff(559,plain,
% 3.47/2.49 (tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.47/2.49 inference(monotonicity,[status(thm)],[558])).
% 3.47/2.49 tff(560,plain,
% 3.47/2.49 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0))),
% 3.47/2.49 inference(symmetry,[status(thm)],[559])).
% 3.47/2.49 tff(561,plain,
% 3.47/2.49 (root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> root(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.47/2.49 inference(monotonicity,[status(thm)],[560, 429])).
% 3.47/2.49 tff(562,plain,
% 3.47/2.49 (root(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) <=> root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.49 inference(symmetry,[status(thm)],[561])).
% 3.47/2.49 tff(563,plain,
% 3.47/2.49 ((~root(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) <=> (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.47/2.49 inference(monotonicity,[status(thm)],[562])).
% 3.47/2.49 tff(564,plain,
% 3.47/2.49 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))),
% 3.47/2.49 inference(rewrite,[status(thm)],[])).
% 3.47/2.49 tff(565,plain,
% 3.47/2.49 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))),
% 3.47/2.49 inference(quant_inst,[status(thm)],[])).
% 3.47/2.49 tff(566,plain,
% 3.47/2.49 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[565, 564])).
% 3.47/2.49 tff(567,plain,
% 3.47/2.49 (~root(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[566, 335, 416])).
% 3.47/2.49 tff(568,plain,
% 3.47/2.49 (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.49 inference(modus_ponens,[status(thm)],[567, 563])).
% 3.47/2.49 tff(569,plain,
% 3.47/2.49 (((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))) | root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.49 inference(tautology,[status(thm)],[])).
% 3.47/2.49 tff(570,plain,
% 3.47/2.49 (root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[569, 1])).
% 3.47/2.49 tff(571,plain,
% 3.47/2.49 ($false),
% 3.47/2.49 inference(unit_resolution,[status(thm)],[570, 568])).
% 3.47/2.49 tff(572,plain,((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))), inference(lemma,lemma(discharge,[]))).
% 3.47/2.49 tff(573,plain,
% 3.47/2.49 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))))))),
% 3.47/2.50 inference(rewrite,[status(thm)],[])).
% 3.47/2.50 tff(574,plain,
% 3.47/2.50 ((~((~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))) | (~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34))))))) <=> (~((~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))))))),
% 3.47/2.50 inference(rewrite,[status(thm)],[])).
% 3.47/2.50 tff(575,plain,
% 3.47/2.50 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))) | (~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))))))),
% 3.47/2.50 inference(monotonicity,[status(thm)],[574])).
% 3.47/2.50 tff(576,plain,
% 3.47/2.50 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))) | (~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))))))),
% 3.47/2.50 inference(transitivity,[status(thm)],[575, 573])).
% 3.47/2.50 tff(577,plain,
% 3.47/2.50 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))) | (~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)))))))),
% 3.47/2.50 inference(quant_inst,[status(thm)],[])).
% 3.47/2.50 tff(578,plain,
% 3.47/2.50 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))))))),
% 3.47/2.50 inference(modus_ponens,[status(thm)],[577, 576])).
% 3.47/2.50 tff(579,plain,
% 3.47/2.50 (~((~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))))),
% 3.47/2.50 inference(unit_resolution,[status(thm)],[578, 468])).
% 3.47/2.50 tff(580,plain,
% 3.47/2.50 (((~(root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), X34)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))))) | ((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))),
% 3.47/2.50 inference(tautology,[status(thm)],[])).
% 3.47/2.50 tff(581,plain,
% 3.47/2.50 ((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))),
% 3.47/2.50 inference(unit_resolution,[status(thm)],[580, 579])).
% 3.47/2.50 tff(582,plain,
% 3.47/2.50 ((~((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))) | (~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))),
% 3.47/2.50 inference(tautology,[status(thm)],[])).
% 3.47/2.50 tff(583,plain,
% 3.47/2.50 ((~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | (~root(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))),
% 3.47/2.50 inference(unit_resolution,[status(thm)],[582, 581])).
% 3.47/2.50 tff(584,plain,
% 3.47/2.50 (~root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.50 inference(unit_resolution,[status(thm)],[583, 572])).
% 3.47/2.50 tff(585,plain,
% 3.47/2.50 (subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) <=> subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.50 inference(monotonicity,[status(thm)],[560])).
% 3.47/2.50 tff(586,plain,
% 3.47/2.50 (subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) <=> subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.50 inference(symmetry,[status(thm)],[585])).
% 3.47/2.50 tff(587,plain,
% 3.47/2.50 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.50 inference(tautology,[status(thm)],[])).
% 3.47/2.50 tff(588,plain,
% 3.47/2.50 (subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.50 inference(unit_resolution,[status(thm)],[587, 420])).
% 3.47/2.50 tff(589,plain,
% 3.47/2.50 (subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.50 inference(modus_ponens,[status(thm)],[588, 586])).
% 3.47/2.50 tff(590,plain,
% 3.47/2.50 (arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) <=> arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.47/2.50 inference(monotonicity,[status(thm)],[560])).
% 3.47/2.50 tff(591,plain,
% 3.47/2.50 (arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0))) <=> arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.50 inference(symmetry,[status(thm)],[590])).
% 3.47/2.50 tff(592,plain,
% 3.47/2.50 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)))))))),
% 3.47/2.50 inference(rewrite,[status(thm)],[])).
% 3.47/2.50 tff(593,plain,
% 3.47/2.50 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)))))))),
% 3.47/2.50 inference(quant_inst,[status(thm)],[])).
% 3.47/2.50 tff(594,plain,
% 3.47/2.50 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0))))))),
% 3.47/2.50 inference(modus_ponens,[status(thm)],[593, 592])).
% 3.47/2.50 tff(595,plain,
% 3.47/2.50 (~((~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)))))),
% 3.47/2.50 inference(unit_resolution,[status(thm)],[594, 250, 411])).
% 3.47/2.50 tff(596,plain,
% 3.47/2.50 (((~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0))))) | arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.47/2.51 inference(tautology,[status(thm)],[])).
% 3.47/2.51 tff(597,plain,
% 3.47/2.51 (arboreal(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.47/2.51 inference(unit_resolution,[status(thm)],[596, 595])).
% 3.47/2.51 tff(598,plain,
% 3.47/2.51 (arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.47/2.51 inference(modus_ponens,[status(thm)],[597, 591])).
% 3.47/2.51 tff(599,plain,
% 3.47/2.51 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | ((~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.47/2.51 inference(rewrite,[status(thm)],[])).
% 3.47/2.51 tff(600,plain,
% 3.47/2.51 ((leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) <=> ((~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.47/2.51 inference(rewrite,[status(thm)],[])).
% 3.47/2.51 tff(601,plain,
% 3.47/2.51 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | ((~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.47/2.51 inference(monotonicity,[status(thm)],[600])).
% 3.47/2.51 tff(602,plain,
% 3.47/2.51 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.47/2.51 inference(transitivity,[status(thm)],[601, 599])).
% 3.47/2.51 tff(603,plain,
% 3.47/2.51 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.47/2.51 inference(quant_inst,[status(thm)],[])).
% 3.47/2.51 tff(604,plain,
% 3.47/2.51 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.51 inference(modus_ponens,[status(thm)],[603, 602])).
% 3.47/2.51 tff(605,plain,
% 3.47/2.51 ((~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.51 inference(unit_resolution,[status(thm)],[604, 528, 422])).
% 3.47/2.51 tff(606,plain,
% 3.47/2.51 (leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | root_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.51 inference(unit_resolution,[status(thm)],[605, 598, 589])).
% 3.47/2.51 tff(607,plain,
% 3.47/2.51 (leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.51 inference(unit_resolution,[status(thm)],[606, 584])).
% 3.47/2.51 tff(608,assumption,(~(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))), introduced(assumption)).
% 3.47/2.51 tff(609,assumption,(leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), introduced(assumption)).
% 3.47/2.51 tff(610,plain,
% 3.47/2.51 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.47/2.51 inference(rewrite,[status(thm)],[])).
% 3.47/2.51 tff(611,plain,
% 3.47/2.51 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.47/2.51 inference(rewrite,[status(thm)],[])).
% 3.47/2.51 tff(612,plain,
% 3.47/2.51 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.47/2.51 inference(monotonicity,[status(thm)],[611])).
% 3.47/2.51 tff(613,plain,
% 3.47/2.51 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.47/2.51 inference(transitivity,[status(thm)],[612, 610])).
% 3.47/2.51 tff(614,plain,
% 3.47/2.51 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))),
% 3.47/2.51 inference(quant_inst,[status(thm)],[])).
% 3.47/2.51 tff(615,plain,
% 3.47/2.51 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.47/2.51 inference(modus_ponens,[status(thm)],[614, 613])).
% 3.47/2.51 tff(616,plain,
% 3.47/2.51 (~((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.47/2.51 inference(unit_resolution,[status(thm)],[615, 146, 422])).
% 3.47/2.51 tff(617,plain,
% 3.47/2.51 (((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.52 inference(tautology,[status(thm)],[])).
% 3.47/2.52 tff(618,plain,
% 3.47/2.52 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.52 inference(unit_resolution,[status(thm)],[617, 616])).
% 3.47/2.52 tff(619,plain,
% 3.47/2.52 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.47/2.52 inference(rewrite,[status(thm)],[])).
% 3.47/2.52 tff(620,plain,
% 3.47/2.52 (((tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.47/2.52 inference(rewrite,[status(thm)],[])).
% 3.47/2.52 tff(621,plain,
% 3.47/2.52 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.47/2.52 inference(monotonicity,[status(thm)],[620])).
% 3.47/2.52 tff(622,plain,
% 3.47/2.52 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.47/2.52 inference(transitivity,[status(thm)],[621, 619])).
% 3.47/2.52 tff(623,plain,
% 3.47/2.52 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.47/2.52 inference(quant_inst,[status(thm)],[])).
% 3.47/2.52 tff(624,plain,
% 3.47/2.52 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.47/2.52 inference(modus_ponens,[status(thm)],[623, 622])).
% 3.47/2.52 tff(625,plain,
% 3.47/2.52 ($false),
% 3.47/2.52 inference(unit_resolution,[status(thm)],[624, 299, 286, 422, 618, 609, 608])).
% 3.47/2.52 tff(626,plain,((~leaf_occ(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 3.47/2.52 tff(627,plain,
% 3.47/2.52 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.47/2.52 inference(unit_resolution,[status(thm)],[626, 607])).
% 3.47/2.52 tff(628,plain,
% 3.47/2.52 (occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3) <=> occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.47/2.52 inference(monotonicity,[status(thm)],[627])).
% 3.47/2.52 tff(629,plain,
% 3.47/2.52 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3) <=> occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)),
% 3.47/2.52 inference(symmetry,[status(thm)],[628])).
% 3.47/2.52 tff(630,plain,
% 3.47/2.52 (occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2) <=> occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2)),
% 3.47/2.52 inference(monotonicity,[status(thm)],[627])).
% 3.47/2.52 tff(631,plain,
% 3.47/2.52 ((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) <=> (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2))),
% 3.47/2.52 inference(monotonicity,[status(thm)],[630])).
% 3.47/2.52 tff(632,assumption,(occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)), introduced(assumption)).
% 3.47/2.52 tff(633,plain,
% 3.47/2.52 (occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1) <=> occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)),
% 3.47/2.52 inference(monotonicity,[status(thm)],[559])).
% 3.47/2.52 tff(634,plain,
% 3.47/2.52 (((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))) | occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)),
% 3.47/2.52 inference(tautology,[status(thm)],[])).
% 3.47/2.52 tff(635,plain,
% 3.47/2.52 (occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)),
% 3.47/2.52 inference(unit_resolution,[status(thm)],[634, 409])).
% 3.47/2.52 tff(636,plain,
% 3.47/2.52 (occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)),
% 3.47/2.52 inference(modus_ponens,[status(thm)],[635, 633])).
% 3.47/2.52 tff(637,plain,
% 3.47/2.52 ((~(tptp1 = tptp2)) <=> (~(tptp1 = tptp2))),
% 3.47/2.52 inference(rewrite,[status(thm)],[])).
% 3.47/2.52 tff(638,axiom,(~(tptp1 = tptp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_43')).
% 3.47/2.52 tff(639,plain,
% 3.47/2.52 (~(tptp1 = tptp2)),
% 3.47/2.52 inference(modus_ponens,[status(thm)],[638, 637])).
% 3.47/2.52 tff(640,plain,
% 3.47/2.52 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)))),
% 3.47/2.52 inference(rewrite,[status(thm)],[])).
% 3.47/2.52 tff(641,plain,
% 3.47/2.52 (((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1))) <=> ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)))),
% 3.47/2.52 inference(rewrite,[status(thm)],[])).
% 3.47/2.52 tff(642,plain,
% 3.47/2.52 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2))))),
% 3.47/2.52 inference(monotonicity,[status(thm)],[641])).
% 3.47/2.52 tff(643,plain,
% 3.47/2.52 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)))),
% 3.47/2.52 inference(transitivity,[status(thm)],[642, 640])).
% 3.47/2.52 tff(644,plain,
% 3.47/2.52 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))),
% 3.47/2.52 inference(quant_inst,[status(thm)],[])).
% 3.47/2.52 tff(645,plain,
% 3.47/2.52 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2))),
% 3.47/2.52 inference(modus_ponens,[status(thm)],[644, 643])).
% 3.47/2.52 tff(646,plain,
% 3.47/2.52 ($false),
% 3.47/2.52 inference(unit_resolution,[status(thm)],[645, 170, 639, 636, 632])).
% 3.47/2.52 tff(647,plain,(~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)), inference(lemma,lemma(discharge,[]))).
% 3.47/2.52 tff(648,plain,
% 3.47/2.52 (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2)),
% 3.47/2.52 inference(modus_ponens,[status(thm)],[647, 631])).
% 3.47/2.52 tff(649,plain,
% 3.47/2.52 (((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))),
% 3.57/2.52 inference(tautology,[status(thm)],[])).
% 3.57/2.52 tff(650,plain,
% 3.57/2.52 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.57/2.52 inference(unit_resolution,[status(thm)],[649, 616])).
% 3.57/2.52 tff(651,plain,
% 3.57/2.52 ((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.57/2.52 inference(tautology,[status(thm)],[])).
% 3.57/2.52 tff(652,plain,
% 3.57/2.52 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.57/2.52 inference(unit_resolution,[status(thm)],[651, 650])).
% 3.57/2.52 tff(653,plain,
% 3.57/2.52 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.57/2.52 inference(unit_resolution,[status(thm)],[652, 648])).
% 3.57/2.52 tff(654,plain,
% 3.57/2.52 (occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)),
% 3.57/2.52 inference(modus_ponens,[status(thm)],[653, 629])).
% 3.57/2.52 tff(655,plain,
% 3.57/2.52 ((~(tptp1 = tptp3)) <=> (~(tptp1 = tptp3))),
% 3.57/2.52 inference(rewrite,[status(thm)],[])).
% 3.57/2.52 tff(656,axiom,(~(tptp1 = tptp3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_42')).
% 3.57/2.52 tff(657,plain,
% 3.57/2.52 (~(tptp1 = tptp3)),
% 3.57/2.52 inference(modus_ponens,[status(thm)],[656, 655])).
% 3.57/2.52 tff(658,plain,
% 3.57/2.52 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)))),
% 3.57/2.52 inference(rewrite,[status(thm)],[])).
% 3.57/2.52 tff(659,plain,
% 3.57/2.52 (((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1))) <=> ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)))),
% 3.57/2.53 inference(rewrite,[status(thm)],[])).
% 3.57/2.53 tff(660,plain,
% 3.57/2.53 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3))))),
% 3.57/2.53 inference(monotonicity,[status(thm)],[659])).
% 3.57/2.53 tff(661,plain,
% 3.57/2.53 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)))),
% 3.57/2.53 inference(transitivity,[status(thm)],[660, 658])).
% 3.57/2.53 tff(662,plain,
% 3.57/2.53 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))),
% 3.57/2.53 inference(quant_inst,[status(thm)],[])).
% 3.57/2.53 tff(663,plain,
% 3.57/2.53 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3))),
% 3.57/2.53 inference(modus_ponens,[status(thm)],[662, 661])).
% 3.57/2.53 tff(664,plain,
% 3.57/2.53 ($false),
% 3.57/2.53 inference(unit_resolution,[status(thm)],[663, 170, 657, 636, 654])).
% 3.57/2.53 % SZS output end Proof
%------------------------------------------------------------------------------