TSTP Solution File: PRO003+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PRO003+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 13:52:18 EDT 2022
% Result : Theorem 14.46s 9.61s
% Output : Proof 14.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO003+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 : n018.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 17:57:28 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.
% 14.46/9.61 % SZS status Theorem
% 14.46/9.61 % SZS output start Proof
% 14.46/9.61 tff(tptp_fun_X100_16_type, type, (
% 14.46/9.61 tptp_fun_X100_16: $i > $i)).
% 14.46/9.61 tff(tptp_fun_X96_15_type, type, (
% 14.46/9.61 tptp_fun_X96_15: $i > $i)).
% 14.46/9.61 tff(tptp_fun_X73_8_type, type, (
% 14.46/9.61 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 14.46/9.61 tff(tptp0_type, type, (
% 14.46/9.61 tptp0: $i)).
% 14.46/9.61 tff(tptp_fun_X101_17_type, type, (
% 14.46/9.61 tptp_fun_X101_17: $i)).
% 14.46/9.61 tff(tptp_fun_X97_14_type, type, (
% 14.46/9.61 tptp_fun_X97_14: $i > $i)).
% 14.46/9.61 tff(tptp_fun_X93_13_type, type, (
% 14.46/9.61 tptp_fun_X93_13: ( $i * $i ) > $i)).
% 14.46/9.61 tff(root_occ_type, type, (
% 14.46/9.61 root_occ: ( $i * $i ) > $o)).
% 14.46/9.61 tff(root_type, type, (
% 14.46/9.61 root: ( $i * $i ) > $o)).
% 14.46/9.61 tff(occurrence_of_type, type, (
% 14.46/9.61 occurrence_of: ( $i * $i ) > $o)).
% 14.46/9.61 tff(subactivity_occurrence_type, type, (
% 14.46/9.61 subactivity_occurrence: ( $i * $i ) > $o)).
% 14.46/9.61 tff(min_precedes_type, type, (
% 14.46/9.61 min_precedes: ( $i * $i * $i ) > $o)).
% 14.46/9.61 tff(next_subocc_type, type, (
% 14.46/9.61 next_subocc: ( $i * $i * $i ) > $o)).
% 14.46/9.61 tff(tptp_fun_X18_0_type, type, (
% 14.46/9.61 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 14.46/9.61 tff(tptp1_type, type, (
% 14.46/9.61 tptp1: $i)).
% 14.46/9.61 tff(leaf_occ_type, type, (
% 14.46/9.61 leaf_occ: ( $i * $i ) > $o)).
% 14.46/9.61 tff(tptp3_type, type, (
% 14.46/9.61 tptp3: $i)).
% 14.46/9.61 tff(tptp4_type, type, (
% 14.46/9.61 tptp4: $i)).
% 14.46/9.61 tff(atomic_type, type, (
% 14.46/9.61 atomic: $i > $o)).
% 14.46/9.61 tff(tptp_fun_X34_1_type, type, (
% 14.46/9.61 tptp_fun_X34_1: ( $i * $i ) > $i)).
% 14.46/9.61 tff(leaf_type, type, (
% 14.46/9.61 leaf: ( $i * $i ) > $o)).
% 14.46/9.61 tff(tptp_fun_X37_2_type, type, (
% 14.46/9.61 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 14.46/9.61 tff(tptp_fun_X53_6_type, type, (
% 14.46/9.61 tptp_fun_X53_6: $i > $i)).
% 14.46/9.61 tff(activity_type, type, (
% 14.46/9.61 activity: $i > $o)).
% 14.46/9.61 tff(activity_occurrence_type, type, (
% 14.46/9.61 activity_occurrence: $i > $o)).
% 14.46/9.61 tff(arboreal_type, type, (
% 14.46/9.61 arboreal: $i > $o)).
% 14.46/9.61 tff(tptp_fun_X44_3_type, type, (
% 14.46/9.61 tptp_fun_X44_3: ( $i * $i ) > $i)).
% 14.46/9.61 tff(tptp_fun_X45_4_type, type, (
% 14.46/9.61 tptp_fun_X45_4: ( $i * $i ) > $i)).
% 14.46/9.61 tff(legal_type, type, (
% 14.46/9.61 legal: $i > $o)).
% 14.46/9.61 tff(1,plain,
% 14.46/9.61 ((tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) <=> (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.46/9.61 inference(commutativity,[status(thm)],[])).
% 14.46/9.61 tff(2,assumption,(![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))), introduced(assumption)).
% 14.46/9.61 tff(3,plain,
% 14.46/9.61 (^[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)))))))))))),
% 14.46/9.61 inference(bind,[status(th)],[])).
% 14.46/9.61 tff(4,plain,
% 14.46/9.61 (![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))))))))))),
% 14.46/9.61 inference(quant_intro,[status(thm)],[3])).
% 14.46/9.61 tff(5,plain,
% 14.46/9.61 (^[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)))))))))),
% 14.46/9.61 inference(bind,[status(th)],[])).
% 14.46/9.61 tff(6,plain,
% 14.46/9.61 (![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))))))))),
% 14.46/9.61 inference(quant_intro,[status(thm)],[5])).
% 14.46/9.61 tff(7,plain,
% 14.46/9.61 (^[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)))))))))),
% 14.46/9.61 inference(bind,[status(th)],[])).
% 14.46/9.61 tff(8,plain,
% 14.46/9.61 (![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))))))))),
% 14.46/9.61 inference(quant_intro,[status(thm)],[7])).
% 14.46/9.61 tff(9,plain,
% 14.46/9.61 (![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))))))))),
% 14.46/9.61 inference(transitivity,[status(thm)],[8, 6])).
% 14.46/9.61 tff(10,plain,
% 14.46/9.61 (^[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))))))))))),
% 14.46/9.61 inference(bind,[status(th)],[])).
% 14.46/9.61 tff(11,plain,
% 14.46/9.61 (![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))))))))),
% 14.46/9.61 inference(quant_intro,[status(thm)],[10])).
% 14.46/9.61 tff(12,plain,
% 14.46/9.61 (^[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)))))),
% 14.46/9.61 inference(bind,[status(th)],[])).
% 14.46/9.61 tff(13,plain,
% 14.46/9.61 (![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))))),
% 14.46/9.61 inference(quant_intro,[status(thm)],[12])).
% 14.46/9.61 tff(14,plain,
% 14.46/9.61 (![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)))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(15,axiom,(![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_04')).
% 14.46/9.61 tff(16,plain,
% 14.46/9.61 (![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)))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[15, 14])).
% 14.46/9.61 tff(17,plain,(
% 14.46/9.61 ![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)))))),
% 14.46/9.61 inference(skolemize,[status(sab)],[16])).
% 14.46/9.61 tff(18,plain,
% 14.46/9.61 (![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))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[17, 13])).
% 14.46/9.61 tff(19,plain,
% 14.46/9.61 (![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))))))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[18, 11])).
% 14.46/9.61 tff(20,plain,
% 14.46/9.61 (![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))))))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[19, 9])).
% 14.46/9.61 tff(21,plain,
% 14.46/9.61 (![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))))))))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[20, 4])).
% 14.46/9.61 tff(22,plain,
% 14.46/9.61 (((~![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(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!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_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(23,plain,
% 14.46/9.61 ((~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(24,plain,
% 14.46/9.61 (((~![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(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!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_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))))))),
% 14.46/9.61 inference(monotonicity,[status(thm)],[23])).
% 14.46/9.61 tff(25,plain,
% 14.46/9.61 (((~![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(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!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_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))))))),
% 14.46/9.61 inference(transitivity,[status(thm)],[24, 22])).
% 14.46/9.61 tff(26,plain,
% 14.46/9.61 ((~![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(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))))))),
% 14.48/9.61 inference(quant_inst,[status(thm)],[])).
% 14.48/9.61 tff(27,plain,
% 14.48/9.61 ((~![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(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))))))),
% 14.48/9.61 inference(modus_ponens,[status(thm)],[26, 25])).
% 14.48/9.61 tff(28,plain,
% 14.48/9.61 (~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))))),
% 14.48/9.61 inference(unit_resolution,[status(thm)],[27, 21])).
% 14.48/9.61 tff(29,plain,
% 14.48/9.61 (((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17)), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))),
% 14.48/9.61 inference(tautology,[status(thm)],[])).
% 14.48/9.61 tff(30,plain,
% 14.48/9.61 ((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))),
% 14.48/9.61 inference(unit_resolution,[status(thm)],[29, 28])).
% 14.48/9.61 tff(31,plain,
% 14.48/9.61 (?[X101: $i] : occurrence_of(X101, tptp0) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 14.48/9.61 inference(rewrite,[status(thm)],[])).
% 14.48/9.61 tff(32,plain,
% 14.48/9.61 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 14.48/9.61 inference(rewrite,[status(thm)],[])).
% 14.48/9.61 tff(33,plain,
% 14.48/9.61 ((~?[X101: $i] : occurrence_of(X101, tptp0)) <=> (~?[X101: $i] : occurrence_of(X101, tptp0))),
% 14.48/9.61 inference(rewrite,[status(thm)],[])).
% 14.48/9.61 tff(34,plain,
% 14.48/9.61 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> (~(~?[X101: $i] : occurrence_of(X101, tptp0)))),
% 14.48/9.61 inference(monotonicity,[status(thm)],[33])).
% 14.48/9.61 tff(35,plain,
% 14.48/9.61 ((~(~?[X101: $i] : occurrence_of(X101, tptp0))) <=> ?[X101: $i] : occurrence_of(X101, tptp0)),
% 14.48/9.61 inference(transitivity,[status(thm)],[34, 32])).
% 14.48/9.61 tff(36,axiom,(~(~?[X101: $i] : occurrence_of(X101, tptp0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 14.48/9.61 tff(37,plain,
% 14.48/9.61 (?[X101: $i] : occurrence_of(X101, tptp0)),
% 14.48/9.61 inference(modus_ponens,[status(thm)],[36, 35])).
% 14.48/9.61 tff(38,plain,
% 14.48/9.61 (?[X101: $i] : occurrence_of(X101, tptp0)),
% 14.48/9.61 inference(modus_ponens,[status(thm)],[37, 31])).
% 14.48/9.61 tff(39,plain,(
% 14.48/9.61 occurrence_of(X101!17, tptp0)),
% 14.48/9.61 inference(skolemize,[status(sab)],[38])).
% 14.48/9.61 tff(40,plain,
% 14.48/9.61 (^[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), 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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 14.48/9.61 inference(bind,[status(th)],[])).
% 14.48/9.61 tff(41,plain,
% 14.48/9.61 (![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), 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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 14.48/9.61 inference(quant_intro,[status(thm)],[40])).
% 14.48/9.61 tff(42,plain,
% 14.48/9.61 (^[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), 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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 14.48/9.61 inference(bind,[status(th)],[])).
% 14.48/9.61 tff(43,plain,
% 14.48/9.61 (![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), 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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 14.48/9.61 inference(quant_intro,[status(thm)],[42])).
% 14.48/9.61 tff(44,plain,
% 14.48/9.61 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & 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, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 14.48/9.61 inference(rewrite,[status(thm)],[])).
% 14.48/9.61 tff(45,plain,
% 14.48/9.61 (^[X95: $i] : trans(monotonicity(quant_intro(proof_bind(^[X96: $i, X97: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95)))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & 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) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & 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) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & 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) & 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)) & 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) & 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)) & 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) & 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, 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) & 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)) & 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) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))))),
% 14.48/9.61 inference(bind,[status(th)],[])).
% 14.48/9.61 tff(46,plain,
% 14.48/9.61 (![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & 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, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 14.48/9.61 inference(quant_intro,[status(thm)],[45])).
% 14.48/9.61 tff(47,axiom,(![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_32')).
% 14.48/9.61 tff(48,plain,
% 14.48/9.61 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 14.48/9.61 inference(modus_ponens,[status(thm)],[47, 46])).
% 14.48/9.61 tff(49,plain,
% 14.48/9.61 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & occurrence_of(X97, tptp3) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 14.48/9.61 inference(modus_ponens,[status(thm)],[48, 44])).
% 14.48/9.61 tff(50,plain,(
% 14.48/9.61 ![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), tptp3) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))),
% 14.48/9.61 inference(skolemize,[status(sab)],[49])).
% 14.48/9.61 tff(51,plain,
% 14.48/9.61 (![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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 14.48/9.61 inference(modus_ponens,[status(thm)],[50, 43])).
% 14.48/9.61 tff(52,plain,
% 14.48/9.61 (![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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 14.48/9.61 inference(modus_ponens,[status(thm)],[51, 41])).
% 14.48/9.61 tff(53,plain,
% 14.48/9.61 (((~![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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))))),
% 14.48/9.61 inference(rewrite,[status(thm)],[])).
% 14.48/9.61 tff(54,plain,
% 14.48/9.61 ((~![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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))))),
% 14.48/9.61 inference(quant_inst,[status(thm)],[])).
% 14.48/9.61 tff(55,plain,
% 14.48/9.61 ((~![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), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[54, 53])).
% 14.48/9.62 tff(56,plain,
% 14.48/9.62 (~((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[55, 52, 39])).
% 14.48/9.62 tff(57,plain,
% 14.48/9.62 (((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))) | root_occ(tptp_fun_X96_15(X101!17), X101!17)),
% 14.48/9.62 inference(tautology,[status(thm)],[])).
% 14.48/9.62 tff(58,plain,
% 14.48/9.62 (root_occ(tptp_fun_X96_15(X101!17), X101!17)),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[57, 56])).
% 14.48/9.62 tff(59,plain,
% 14.48/9.62 (^[X98: $i, X99: $i] : refl(((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(60,plain,
% 14.48/9.62 (![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> ![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[59])).
% 14.48/9.62 tff(61,plain,
% 14.48/9.62 (^[X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X99, tptp0) & root_occ(X98, X99)) <=> (~((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))))), ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) <=> (~(~((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))))))), rewrite((~(~((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)))), ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))))), rewrite((occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0)) <=> (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))), (((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> (((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))))), rewrite((((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99))) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0))))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))), (((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(62,plain,
% 14.48/9.62 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0))) <=> ![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[61])).
% 14.48/9.62 tff(63,plain,
% 14.48/9.62 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(64,plain,
% 14.48/9.62 (^[X98: $i, X99: $i] : rewrite(((occurrence_of(X99, tptp0) & root_occ(X98, X99)) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(65,plain,
% 14.48/9.62 (![X98: $i, X99: $i] : ((occurrence_of(X99, tptp0) & root_occ(X98, X99)) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0))) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[64])).
% 14.48/9.62 tff(66,axiom,(![X98: $i, X99: $i] : ((occurrence_of(X99, tptp0) & root_occ(X98, X99)) => ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_45')).
% 14.48/9.62 tff(67,plain,
% 14.48/9.62 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[66, 65])).
% 14.48/9.62 tff(68,plain,
% 14.48/9.62 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | ?[X100: $i] : (occurrence_of(X100, tptp1) & next_subocc(X98, X100, tptp0)))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[67, 63])).
% 14.48/9.62 tff(69,plain,(
% 14.48/9.62 ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & root_occ(X98, X99))) | (occurrence_of(tptp_fun_X100_16(X98), tptp1) & next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))),
% 14.48/9.62 inference(skolemize,[status(sab)],[68])).
% 14.48/9.62 tff(70,plain,
% 14.48/9.62 (![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[69, 62])).
% 14.48/9.62 tff(71,plain,
% 14.48/9.62 (![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[70, 60])).
% 14.48/9.62 tff(72,plain,
% 14.48/9.62 (((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))) <=> ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(73,plain,
% 14.48/9.62 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))),
% 14.48/9.62 inference(quant_inst,[status(thm)],[])).
% 14.48/9.62 tff(74,plain,
% 14.48/9.62 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[73, 72])).
% 14.48/9.62 tff(75,plain,
% 14.48/9.62 (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[74, 71, 39, 58])).
% 14.48/9.62 tff(76,plain,
% 14.48/9.62 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))) | next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)),
% 14.48/9.62 inference(tautology,[status(thm)],[])).
% 14.48/9.62 tff(77,plain,
% 14.48/9.62 (next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[76, 75])).
% 14.48/9.62 tff(78,plain,
% 14.48/9.62 ((~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))),
% 14.48/9.62 inference(tautology,[status(thm)],[])).
% 14.48/9.62 tff(79,plain,
% 14.48/9.62 ((~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))))),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[78, 77])).
% 14.48/9.62 tff(80,plain,
% 14.48/9.62 (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)))))),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[79, 30])).
% 14.48/9.62 tff(81,plain,
% 14.48/9.62 (((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))))) | min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)),
% 14.48/9.62 inference(tautology,[status(thm)],[])).
% 14.48/9.62 tff(82,plain,
% 14.48/9.62 (min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[81, 80])).
% 14.48/9.62 tff(83,plain,
% 14.48/9.62 (^[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)))))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(84,plain,
% 14.48/9.62 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ![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))))))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[83])).
% 14.48/9.62 tff(85,plain,
% 14.48/9.62 (^[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)))))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(86,plain,
% 14.48/9.62 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ![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))))))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[85])).
% 14.48/9.62 tff(87,plain,
% 14.48/9.62 (![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)))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(88,plain,
% 14.48/9.62 (^[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)))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(89,plain,
% 14.48/9.62 (![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)))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[88])).
% 14.48/9.62 tff(90,axiom,(![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_24')).
% 14.48/9.62 tff(91,plain,
% 14.48/9.62 (![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)))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[90, 89])).
% 14.48/9.62 tff(92,plain,
% 14.48/9.62 (![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)))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[91, 87])).
% 14.48/9.62 tff(93,plain,(
% 14.48/9.62 ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))),
% 14.48/9.62 inference(skolemize,[status(sab)],[92])).
% 14.48/9.62 tff(94,plain,
% 14.48/9.62 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[93, 86])).
% 14.48/9.62 tff(95,plain,
% 14.48/9.62 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[94, 84])).
% 14.48/9.62 tff(96,plain,
% 14.48/9.62 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(97,plain,
% 14.48/9.62 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.62 inference(quant_inst,[status(thm)],[])).
% 14.48/9.62 tff(98,plain,
% 14.48/9.62 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[97, 96])).
% 14.48/9.62 tff(99,plain,
% 14.48/9.62 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[98, 95, 82])).
% 14.48/9.62 tff(100,plain,
% 14.48/9.62 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.48/9.62 inference(tautology,[status(thm)],[])).
% 14.48/9.62 tff(101,plain,
% 14.48/9.62 (occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[100, 99])).
% 14.48/9.62 tff(102,plain,
% 14.48/9.62 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(103,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 14.48/9.62 tff(104,plain,
% 14.48/9.62 (~atomic(tptp0)),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[103, 102])).
% 14.48/9.62 tff(105,plain,
% 14.48/9.62 (^[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))))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(106,plain,
% 14.48/9.62 (![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)))))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[105])).
% 14.48/9.62 tff(107,plain,
% 14.48/9.62 (^[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)))))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(108,plain,
% 14.48/9.62 (![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)))))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[107])).
% 14.48/9.62 tff(109,plain,
% 14.48/9.62 (![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)))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(110,plain,
% 14.48/9.62 (^[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))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(111,plain,
% 14.48/9.62 (![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)))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[110])).
% 14.48/9.62 tff(112,axiom,(![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_30')).
% 14.48/9.62 tff(113,plain,
% 14.48/9.62 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[112, 111])).
% 14.48/9.62 tff(114,plain,
% 14.48/9.62 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[113, 109])).
% 14.48/9.62 tff(115,plain,(
% 14.48/9.62 ![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)))),
% 14.48/9.62 inference(skolemize,[status(sab)],[114])).
% 14.48/9.62 tff(116,plain,
% 14.48/9.62 (![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)))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[115, 108])).
% 14.48/9.62 tff(117,plain,
% 14.48/9.62 (![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)))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[116, 106])).
% 14.48/9.62 tff(118,plain,
% 14.48/9.62 (((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))) <=> ((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(119,plain,
% 14.48/9.62 ((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.62 inference(quant_inst,[status(thm)],[])).
% 14.48/9.62 tff(120,plain,
% 14.48/9.62 ((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[119, 118])).
% 14.48/9.62 tff(121,plain,
% 14.48/9.62 (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[120, 117, 104, 101])).
% 14.48/9.62 tff(122,plain,
% 14.48/9.62 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.62 inference(tautology,[status(thm)],[])).
% 14.48/9.62 tff(123,plain,
% 14.48/9.62 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[122, 121])).
% 14.48/9.62 tff(124,plain,
% 14.48/9.62 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.48/9.62 inference(tautology,[status(thm)],[])).
% 14.48/9.62 tff(125,plain,
% 14.48/9.62 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[124, 121])).
% 14.48/9.62 tff(126,plain,
% 14.48/9.62 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(127,plain,
% 14.48/9.62 (((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.62 inference(rewrite,[status(thm)],[])).
% 14.48/9.62 tff(128,plain,
% 14.48/9.62 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.62 inference(monotonicity,[status(thm)],[127])).
% 14.48/9.62 tff(129,plain,
% 14.48/9.62 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.62 inference(transitivity,[status(thm)],[128, 126])).
% 14.48/9.62 tff(130,plain,
% 14.48/9.62 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))),
% 14.48/9.62 inference(quant_inst,[status(thm)],[])).
% 14.48/9.62 tff(131,plain,
% 14.48/9.62 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.62 inference(modus_ponens,[status(thm)],[130, 129])).
% 14.48/9.62 tff(132,plain,
% 14.48/9.62 ($false),
% 14.48/9.62 inference(unit_resolution,[status(thm)],[131, 101, 125, 123, 2])).
% 14.48/9.62 tff(133,plain,(~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 14.48/9.62 tff(134,plain,
% 14.48/9.62 (^[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))))))))),
% 14.48/9.62 inference(bind,[status(th)],[])).
% 14.48/9.62 tff(135,plain,
% 14.48/9.62 (![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)))))))),
% 14.48/9.62 inference(quant_intro,[status(thm)],[134])).
% 14.48/9.62 tff(136,plain,
% 14.48/9.62 (^[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))))))))),
% 14.48/9.63 inference(bind,[status(th)],[])).
% 14.48/9.63 tff(137,plain,
% 14.48/9.63 (![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)))))))),
% 14.48/9.63 inference(quant_intro,[status(thm)],[136])).
% 14.48/9.63 tff(138,plain,
% 14.48/9.63 (![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)))))))),
% 14.48/9.63 inference(transitivity,[status(thm)],[137, 135])).
% 14.48/9.63 tff(139,plain,
% 14.48/9.63 (^[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)))))))))),
% 14.48/9.63 inference(bind,[status(th)],[])).
% 14.48/9.63 tff(140,plain,
% 14.48/9.63 (![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)))))))),
% 14.48/9.63 inference(quant_intro,[status(thm)],[139])).
% 14.48/9.63 tff(141,plain,
% 14.48/9.63 (![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)))),
% 14.48/9.63 inference(rewrite,[status(thm)],[])).
% 14.48/9.63 tff(142,plain,
% 14.48/9.63 (^[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))))),
% 14.48/9.63 inference(bind,[status(th)],[])).
% 14.48/9.63 tff(143,plain,
% 14.48/9.63 (![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)))),
% 14.48/9.63 inference(quant_intro,[status(thm)],[142])).
% 14.48/9.63 tff(144,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/sandbox2/benchmark/theBenchmark.p','sos_10')).
% 14.48/9.63 tff(145,plain,
% 14.48/9.63 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 14.48/9.63 inference(modus_ponens,[status(thm)],[144, 143])).
% 14.48/9.63 tff(146,plain,
% 14.48/9.63 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 14.48/9.63 inference(modus_ponens,[status(thm)],[145, 141])).
% 14.48/9.63 tff(147,plain,(
% 14.48/9.63 ![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)))))),
% 14.48/9.63 inference(skolemize,[status(sab)],[146])).
% 14.48/9.63 tff(148,plain,
% 14.48/9.63 (![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)))))))),
% 14.48/9.63 inference(modus_ponens,[status(thm)],[147, 140])).
% 14.48/9.63 tff(149,plain,
% 14.48/9.63 (![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)))))))),
% 14.48/9.63 inference(modus_ponens,[status(thm)],[148, 138])).
% 14.48/9.63 tff(150,plain,
% 14.48/9.63 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), 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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 14.48/9.63 inference(rewrite,[status(thm)],[])).
% 14.48/9.63 tff(151,plain,
% 14.48/9.63 ((~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 14.48/9.63 inference(rewrite,[status(thm)],[])).
% 14.48/9.63 tff(152,plain,
% 14.48/9.63 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), 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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 14.48/9.63 inference(monotonicity,[status(thm)],[151])).
% 14.48/9.63 tff(153,plain,
% 14.48/9.63 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), 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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 14.48/9.63 inference(transitivity,[status(thm)],[152, 150])).
% 14.48/9.63 tff(154,plain,
% 14.48/9.63 ((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 14.48/9.63 inference(quant_inst,[status(thm)],[])).
% 14.48/9.63 tff(155,plain,
% 14.48/9.63 ((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 14.48/9.63 inference(modus_ponens,[status(thm)],[154, 153])).
% 14.48/9.63 tff(156,plain,
% 14.48/9.63 (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))),
% 14.48/9.63 inference(unit_resolution,[status(thm)],[155, 149])).
% 14.48/9.63 tff(157,plain,
% 14.48/9.63 (((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))),
% 14.48/9.63 inference(tautology,[status(thm)],[])).
% 14.48/9.63 tff(158,plain,
% 14.48/9.63 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 14.48/9.63 inference(unit_resolution,[status(thm)],[157, 156])).
% 14.48/9.63 tff(159,plain,
% 14.48/9.63 ((~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 14.48/9.63 inference(tautology,[status(thm)],[])).
% 14.48/9.63 tff(160,plain,
% 14.48/9.63 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 14.48/9.63 inference(unit_resolution,[status(thm)],[159, 158])).
% 14.48/9.63 tff(161,plain,
% 14.48/9.63 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.63 inference(unit_resolution,[status(thm)],[160, 133])).
% 14.48/9.63 tff(162,plain,
% 14.48/9.63 (((~![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), 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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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), 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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.48/9.63 inference(rewrite,[status(thm)],[])).
% 14.48/9.63 tff(163,plain,
% 14.48/9.63 ((~![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), 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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.48/9.63 inference(quant_inst,[status(thm)],[])).
% 14.48/9.63 tff(164,plain,
% 14.48/9.63 ((~![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), 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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.63 inference(modus_ponens,[status(thm)],[163, 162])).
% 14.48/9.63 tff(165,plain,
% 14.48/9.63 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.63 inference(unit_resolution,[status(thm)],[164, 52, 101])).
% 14.48/9.63 tff(166,plain,
% 14.48/9.63 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.64 inference(tautology,[status(thm)],[])).
% 14.48/9.64 tff(167,plain,
% 14.48/9.64 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[166, 165])).
% 14.48/9.64 tff(168,plain,
% 14.48/9.64 (^[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))))),
% 14.48/9.64 inference(bind,[status(th)],[])).
% 14.48/9.64 tff(169,plain,
% 14.48/9.64 (![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)))),
% 14.48/9.64 inference(quant_intro,[status(thm)],[168])).
% 14.48/9.64 tff(170,plain,
% 14.48/9.64 (^[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)))))),
% 14.48/9.64 inference(bind,[status(th)],[])).
% 14.48/9.64 tff(171,plain,
% 14.48/9.64 (![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)))),
% 14.48/9.64 inference(quant_intro,[status(thm)],[170])).
% 14.48/9.64 tff(172,plain,
% 14.48/9.64 (![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))),
% 14.48/9.64 inference(rewrite,[status(thm)],[])).
% 14.48/9.64 tff(173,plain,
% 14.48/9.64 (^[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))))),
% 14.48/9.64 inference(bind,[status(th)],[])).
% 14.48/9.64 tff(174,plain,
% 14.48/9.64 (![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))),
% 14.48/9.64 inference(quant_intro,[status(thm)],[173])).
% 14.48/9.64 tff(175,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/sandbox2/benchmark/theBenchmark.p','sos_02')).
% 14.48/9.64 tff(176,plain,
% 14.48/9.64 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 14.48/9.64 inference(modus_ponens,[status(thm)],[175, 174])).
% 14.48/9.64 tff(177,plain,
% 14.48/9.64 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 14.48/9.64 inference(modus_ponens,[status(thm)],[176, 172])).
% 14.48/9.64 tff(178,plain,(
% 14.48/9.64 ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 14.48/9.64 inference(skolemize,[status(sab)],[177])).
% 14.48/9.64 tff(179,plain,
% 14.48/9.64 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 14.48/9.64 inference(modus_ponens,[status(thm)],[178, 171])).
% 14.48/9.64 tff(180,plain,
% 14.48/9.64 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 14.48/9.64 inference(modus_ponens,[status(thm)],[179, 169])).
% 14.48/9.64 tff(181,plain,
% 14.48/9.64 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(rewrite,[status(thm)],[])).
% 14.48/9.64 tff(182,plain,
% 14.48/9.64 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(rewrite,[status(thm)],[])).
% 14.48/9.64 tff(183,plain,
% 14.48/9.64 (((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.64 inference(monotonicity,[status(thm)],[182])).
% 14.48/9.64 tff(184,plain,
% 14.48/9.64 (((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(transitivity,[status(thm)],[183, 181])).
% 14.48/9.64 tff(185,plain,
% 14.48/9.64 ((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(quant_inst,[status(thm)],[])).
% 14.48/9.64 tff(186,plain,
% 14.48/9.64 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.64 inference(modus_ponens,[status(thm)],[185, 184])).
% 14.48/9.64 tff(187,plain,
% 14.48/9.64 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[186, 180, 101, 167, 161])).
% 14.48/9.64 tff(188,plain,
% 14.48/9.64 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.48/9.64 inference(symmetry,[status(thm)],[187])).
% 14.48/9.64 tff(189,plain,
% 14.48/9.64 (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 14.48/9.64 inference(monotonicity,[status(thm)],[188])).
% 14.48/9.64 tff(190,plain,
% 14.48/9.64 (tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.64 inference(symmetry,[status(thm)],[189])).
% 14.48/9.64 tff(191,assumption,(![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))), introduced(assumption)).
% 14.48/9.64 tff(192,plain,
% 14.48/9.64 ((~![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(X101!17), tptp_fun_X97_14(X101!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp_fun_X97_14(X101!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))))))),
% 14.48/9.64 inference(quant_inst,[status(thm)],[])).
% 14.48/9.64 tff(193,plain,
% 14.48/9.64 (~((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp_fun_X97_14(X101!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[192, 21])).
% 14.48/9.64 tff(194,plain,
% 14.48/9.64 (((~(next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17)), tptp_fun_X97_14(X101!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))),
% 14.48/9.64 inference(tautology,[status(thm)],[])).
% 14.48/9.64 tff(195,plain,
% 14.48/9.64 ((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[194, 193])).
% 14.48/9.64 tff(196,plain,
% 14.48/9.64 (((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))) | next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 14.48/9.64 inference(tautology,[status(thm)],[])).
% 14.48/9.64 tff(197,plain,
% 14.48/9.64 (next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[196, 56])).
% 14.48/9.64 tff(198,plain,
% 14.48/9.64 ((~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))),
% 14.48/9.64 inference(tautology,[status(thm)],[])).
% 14.48/9.64 tff(199,plain,
% 14.48/9.64 ((~((~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[198, 197])).
% 14.48/9.64 tff(200,plain,
% 14.48/9.64 (~((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[199, 195])).
% 14.48/9.64 tff(201,plain,
% 14.48/9.64 (((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 14.48/9.64 inference(tautology,[status(thm)],[])).
% 14.48/9.64 tff(202,plain,
% 14.48/9.64 (min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[201, 200])).
% 14.48/9.64 tff(203,plain,
% 14.48/9.64 (((~![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(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.64 inference(rewrite,[status(thm)],[])).
% 14.48/9.64 tff(204,plain,
% 14.48/9.64 ((~![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(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.64 inference(quant_inst,[status(thm)],[])).
% 14.48/9.64 tff(205,plain,
% 14.48/9.64 ((~![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(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.64 inference(modus_ponens,[status(thm)],[204, 203])).
% 14.48/9.64 tff(206,plain,
% 14.48/9.64 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[205, 95, 202])).
% 14.48/9.64 tff(207,plain,
% 14.48/9.64 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.48/9.64 inference(tautology,[status(thm)],[])).
% 14.48/9.64 tff(208,plain,
% 14.48/9.64 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[207, 206])).
% 14.48/9.64 tff(209,plain,
% 14.48/9.64 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))) <=> ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.64 inference(rewrite,[status(thm)],[])).
% 14.48/9.64 tff(210,plain,
% 14.48/9.64 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.64 inference(quant_inst,[status(thm)],[])).
% 14.48/9.64 tff(211,plain,
% 14.48/9.64 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.64 inference(modus_ponens,[status(thm)],[210, 209])).
% 14.48/9.64 tff(212,plain,
% 14.48/9.64 (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[211, 117, 104, 208])).
% 14.48/9.64 tff(213,plain,
% 14.48/9.64 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.64 inference(tautology,[status(thm)],[])).
% 14.48/9.64 tff(214,plain,
% 14.48/9.64 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[213, 212])).
% 14.48/9.64 tff(215,plain,
% 14.48/9.64 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.48/9.64 inference(tautology,[status(thm)],[])).
% 14.48/9.64 tff(216,plain,
% 14.48/9.64 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[215, 212])).
% 14.48/9.64 tff(217,plain,
% 14.48/9.64 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(rewrite,[status(thm)],[])).
% 14.48/9.64 tff(218,plain,
% 14.48/9.64 (((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(rewrite,[status(thm)],[])).
% 14.48/9.64 tff(219,plain,
% 14.48/9.64 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.64 inference(monotonicity,[status(thm)],[218])).
% 14.48/9.64 tff(220,plain,
% 14.48/9.64 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.64 inference(transitivity,[status(thm)],[219, 217])).
% 14.48/9.64 tff(221,plain,
% 14.48/9.64 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))),
% 14.48/9.64 inference(quant_inst,[status(thm)],[])).
% 14.48/9.64 tff(222,plain,
% 14.48/9.64 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.64 inference(modus_ponens,[status(thm)],[221, 220])).
% 14.48/9.64 tff(223,plain,
% 14.48/9.64 ($false),
% 14.48/9.64 inference(unit_resolution,[status(thm)],[222, 208, 216, 214, 191])).
% 14.48/9.64 tff(224,plain,(~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 14.48/9.64 tff(225,plain,
% 14.48/9.64 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), 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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 14.48/9.65 inference(rewrite,[status(thm)],[])).
% 14.48/9.65 tff(226,plain,
% 14.48/9.65 ((~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 14.48/9.65 inference(rewrite,[status(thm)],[])).
% 14.48/9.65 tff(227,plain,
% 14.48/9.65 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), 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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 14.48/9.65 inference(monotonicity,[status(thm)],[226])).
% 14.48/9.65 tff(228,plain,
% 14.48/9.65 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), 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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))))),
% 14.48/9.65 inference(transitivity,[status(thm)],[227, 225])).
% 14.48/9.65 tff(229,plain,
% 14.48/9.65 ((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 14.48/9.65 inference(quant_inst,[status(thm)],[])).
% 14.48/9.65 tff(230,plain,
% 14.48/9.65 ((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))))),
% 14.48/9.65 inference(modus_ponens,[status(thm)],[229, 228])).
% 14.48/9.65 tff(231,plain,
% 14.48/9.65 (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))))),
% 14.48/9.65 inference(unit_resolution,[status(thm)],[230, 149])).
% 14.48/9.65 tff(232,plain,
% 14.48/9.65 (((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))),
% 14.48/9.65 inference(tautology,[status(thm)],[])).
% 14.48/9.65 tff(233,plain,
% 14.48/9.65 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 14.48/9.65 inference(unit_resolution,[status(thm)],[232, 231])).
% 14.48/9.65 tff(234,plain,
% 14.48/9.65 ((~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 14.48/9.65 inference(tautology,[status(thm)],[])).
% 14.48/9.65 tff(235,plain,
% 14.48/9.65 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), X34)))),
% 14.48/9.65 inference(unit_resolution,[status(thm)],[234, 233])).
% 14.48/9.65 tff(236,plain,
% 14.48/9.65 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.65 inference(unit_resolution,[status(thm)],[235, 224])).
% 14.48/9.65 tff(237,plain,
% 14.48/9.65 (((~![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), 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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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), 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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.48/9.65 inference(rewrite,[status(thm)],[])).
% 14.48/9.65 tff(238,plain,
% 14.48/9.65 ((~![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), 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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.48/9.65 inference(quant_inst,[status(thm)],[])).
% 14.48/9.65 tff(239,plain,
% 14.48/9.65 ((~![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), 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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.65 inference(modus_ponens,[status(thm)],[238, 237])).
% 14.48/9.65 tff(240,plain,
% 14.48/9.65 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.65 inference(unit_resolution,[status(thm)],[239, 52, 208])).
% 14.48/9.65 tff(241,plain,
% 14.48/9.65 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.65 inference(tautology,[status(thm)],[])).
% 14.48/9.65 tff(242,plain,
% 14.48/9.65 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.65 inference(unit_resolution,[status(thm)],[241, 240])).
% 14.48/9.65 tff(243,plain,
% 14.48/9.65 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.65 inference(rewrite,[status(thm)],[])).
% 14.48/9.65 tff(244,plain,
% 14.48/9.65 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.65 inference(rewrite,[status(thm)],[])).
% 14.48/9.65 tff(245,plain,
% 14.48/9.65 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.66 inference(monotonicity,[status(thm)],[244])).
% 14.48/9.66 tff(246,plain,
% 14.48/9.66 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.66 inference(transitivity,[status(thm)],[245, 243])).
% 14.48/9.66 tff(247,plain,
% 14.48/9.66 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.66 inference(quant_inst,[status(thm)],[])).
% 14.48/9.66 tff(248,plain,
% 14.48/9.66 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[247, 246])).
% 14.48/9.66 tff(249,plain,
% 14.48/9.66 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[248, 180, 208, 242, 236])).
% 14.48/9.66 tff(250,plain,
% 14.48/9.66 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.66 inference(monotonicity,[status(thm)],[249])).
% 14.48/9.66 tff(251,plain,
% 14.48/9.66 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.66 inference(symmetry,[status(thm)],[250])).
% 14.48/9.66 tff(252,assumption,(![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))), introduced(assumption)).
% 14.48/9.66 tff(253,plain,
% 14.48/9.66 (^[X89: $i, X90: $i] : refl(((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(254,plain,
% 14.48/9.66 (![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)))))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[253])).
% 14.48/9.66 tff(255,plain,
% 14.48/9.66 (^[X89: $i, X90: $i] : rewrite(((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(256,plain,
% 14.48/9.66 (![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)))))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[255])).
% 14.48/9.66 tff(257,plain,
% 14.48/9.66 (![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)))),
% 14.48/9.66 inference(rewrite,[status(thm)],[])).
% 14.48/9.66 tff(258,plain,
% 14.48/9.66 (^[X89: $i, X90: $i] : rewrite((occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(259,plain,
% 14.48/9.66 (![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)))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[258])).
% 14.48/9.66 tff(260,axiom,(![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_29')).
% 14.48/9.66 tff(261,plain,
% 14.48/9.66 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[260, 259])).
% 14.48/9.66 tff(262,plain,
% 14.48/9.66 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[261, 257])).
% 14.48/9.66 tff(263,plain,(
% 14.48/9.66 ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 14.48/9.66 inference(skolemize,[status(sab)],[262])).
% 14.48/9.66 tff(264,plain,
% 14.48/9.66 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[263, 256])).
% 14.48/9.66 tff(265,plain,
% 14.48/9.66 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[264, 254])).
% 14.48/9.66 tff(266,plain,
% 14.48/9.66 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.66 inference(rewrite,[status(thm)],[])).
% 14.48/9.66 tff(267,plain,
% 14.48/9.66 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.66 inference(quant_inst,[status(thm)],[])).
% 14.48/9.66 tff(268,plain,
% 14.48/9.66 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[267, 266])).
% 14.48/9.66 tff(269,plain,
% 14.48/9.66 (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[268, 265, 208])).
% 14.48/9.66 tff(270,plain,
% 14.48/9.66 (((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.66 inference(tautology,[status(thm)],[])).
% 14.48/9.66 tff(271,plain,
% 14.48/9.66 (activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[270, 269])).
% 14.48/9.66 tff(272,plain,
% 14.48/9.66 (^[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)))))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(273,plain,
% 14.48/9.66 (![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))))))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[272])).
% 14.48/9.66 tff(274,plain,
% 14.48/9.66 (^[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)))))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(275,plain,
% 14.48/9.66 (![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))))))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[274])).
% 14.48/9.66 tff(276,plain,
% 14.48/9.66 (![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)))),
% 14.48/9.66 inference(rewrite,[status(thm)],[])).
% 14.48/9.66 tff(277,plain,
% 14.48/9.66 (^[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))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(278,plain,
% 14.48/9.66 (![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)))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[277])).
% 14.48/9.66 tff(279,axiom,(![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_18')).
% 14.48/9.66 tff(280,plain,
% 14.48/9.66 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[279, 278])).
% 14.48/9.66 tff(281,plain,
% 14.48/9.66 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[280, 276])).
% 14.48/9.66 tff(282,plain,(
% 14.48/9.66 ![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52))))),
% 14.48/9.66 inference(skolemize,[status(sab)],[281])).
% 14.48/9.66 tff(283,plain,
% 14.48/9.66 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[282, 275])).
% 14.48/9.66 tff(284,plain,
% 14.48/9.66 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[283, 273])).
% 14.48/9.66 tff(285,plain,
% 14.48/9.66 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.48/9.66 inference(rewrite,[status(thm)],[])).
% 14.48/9.66 tff(286,plain,
% 14.48/9.66 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.48/9.66 inference(quant_inst,[status(thm)],[])).
% 14.48/9.66 tff(287,plain,
% 14.48/9.66 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[286, 285])).
% 14.48/9.66 tff(288,plain,
% 14.48/9.66 (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[287, 284, 271])).
% 14.48/9.66 tff(289,plain,
% 14.48/9.66 (((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.66 inference(tautology,[status(thm)],[])).
% 14.48/9.66 tff(290,plain,
% 14.48/9.66 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[289, 288])).
% 14.48/9.66 tff(291,plain,
% 14.48/9.66 (^[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))))))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(292,plain,
% 14.48/9.66 (![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)))))))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[291])).
% 14.48/9.66 tff(293,plain,
% 14.48/9.66 (^[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))))))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(294,plain,
% 14.48/9.66 (![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)))))))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[293])).
% 14.48/9.66 tff(295,plain,
% 14.48/9.66 (![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)))))))),
% 14.48/9.66 inference(transitivity,[status(thm)],[294, 292])).
% 14.48/9.66 tff(296,plain,
% 14.48/9.66 (^[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)))))))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(297,plain,
% 14.48/9.66 (![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)))))))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[296])).
% 14.48/9.66 tff(298,plain,
% 14.48/9.66 (![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)))),
% 14.48/9.66 inference(rewrite,[status(thm)],[])).
% 14.48/9.66 tff(299,plain,
% 14.48/9.66 (^[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))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(300,plain,
% 14.48/9.66 (![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)))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[299])).
% 14.48/9.66 tff(301,axiom,(![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_11')).
% 14.48/9.66 tff(302,plain,
% 14.48/9.66 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[301, 300])).
% 14.48/9.66 tff(303,plain,
% 14.48/9.66 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[302, 298])).
% 14.48/9.66 tff(304,plain,(
% 14.48/9.66 ![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)))))),
% 14.48/9.66 inference(skolemize,[status(sab)],[303])).
% 14.48/9.66 tff(305,plain,
% 14.48/9.66 (![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)))))))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[304, 297])).
% 14.48/9.66 tff(306,plain,
% 14.48/9.66 (![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)))))))),
% 14.48/9.66 inference(modus_ponens,[status(thm)],[305, 295])).
% 14.48/9.66 tff(307,plain,
% 14.48/9.66 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))),
% 14.48/9.66 inference(quant_inst,[status(thm)],[])).
% 14.48/9.66 tff(308,plain,
% 14.48/9.66 (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[307, 306])).
% 14.48/9.66 tff(309,plain,
% 14.48/9.66 (((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)))))) | ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 14.48/9.66 inference(tautology,[status(thm)],[])).
% 14.48/9.66 tff(310,plain,
% 14.48/9.66 ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[309, 308])).
% 14.48/9.66 tff(311,plain,
% 14.48/9.66 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.66 inference(tautology,[status(thm)],[])).
% 14.48/9.66 tff(312,plain,
% 14.48/9.66 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[311, 240])).
% 14.48/9.66 tff(313,plain,
% 14.48/9.66 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.48/9.66 inference(tautology,[status(thm)],[])).
% 14.48/9.66 tff(314,plain,
% 14.48/9.66 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[313, 312])).
% 14.48/9.66 tff(315,plain,
% 14.48/9.66 (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[314, 310])).
% 14.48/9.66 tff(316,plain,
% 14.48/9.66 (((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.66 inference(tautology,[status(thm)],[])).
% 14.48/9.66 tff(317,plain,
% 14.48/9.66 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.66 inference(unit_resolution,[status(thm)],[316, 315])).
% 14.48/9.66 tff(318,plain,
% 14.48/9.66 (^[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))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(319,plain,
% 14.48/9.66 (![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)))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[318])).
% 14.48/9.66 tff(320,plain,
% 14.48/9.66 (^[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)))))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(321,plain,
% 14.48/9.66 (![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)))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[320])).
% 14.48/9.66 tff(322,plain,
% 14.48/9.66 (![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))),
% 14.48/9.66 inference(rewrite,[status(thm)],[])).
% 14.48/9.66 tff(323,plain,
% 14.48/9.66 (^[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)))),
% 14.48/9.66 inference(bind,[status(th)],[])).
% 14.48/9.66 tff(324,plain,
% 14.48/9.66 (![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))),
% 14.48/9.66 inference(quant_intro,[status(thm)],[323])).
% 14.48/9.66 tff(325,axiom,(![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_22')).
% 14.48/9.66 tff(326,plain,
% 14.48/9.66 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 14.48/9.67 inference(modus_ponens,[status(thm)],[325, 324])).
% 14.48/9.67 tff(327,plain,
% 14.48/9.67 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 14.48/9.67 inference(modus_ponens,[status(thm)],[326, 322])).
% 14.48/9.67 tff(328,plain,(
% 14.48/9.67 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 14.48/9.67 inference(skolemize,[status(sab)],[327])).
% 14.48/9.67 tff(329,plain,
% 14.48/9.67 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 14.48/9.67 inference(modus_ponens,[status(thm)],[328, 321])).
% 14.48/9.67 tff(330,plain,
% 14.48/9.67 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 14.48/9.67 inference(modus_ponens,[status(thm)],[329, 319])).
% 14.48/9.67 tff(331,plain,
% 14.48/9.67 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.67 inference(rewrite,[status(thm)],[])).
% 14.48/9.67 tff(332,plain,
% 14.48/9.67 (((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.67 inference(rewrite,[status(thm)],[])).
% 14.48/9.67 tff(333,plain,
% 14.48/9.67 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.48/9.67 inference(monotonicity,[status(thm)],[332])).
% 14.48/9.67 tff(334,plain,
% 14.48/9.67 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.67 inference(transitivity,[status(thm)],[333, 331])).
% 14.48/9.67 tff(335,plain,
% 14.48/9.67 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.67 inference(quant_inst,[status(thm)],[])).
% 14.48/9.67 tff(336,plain,
% 14.48/9.67 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.67 inference(modus_ponens,[status(thm)],[335, 334])).
% 14.48/9.67 tff(337,plain,
% 14.48/9.67 (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[336, 330, 317, 290])).
% 14.48/9.67 tff(338,plain,
% 14.48/9.67 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0))),
% 14.48/9.67 inference(rewrite,[status(thm)],[])).
% 14.48/9.67 tff(339,plain,
% 14.48/9.67 (((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0))),
% 14.48/9.67 inference(rewrite,[status(thm)],[])).
% 14.48/9.67 tff(340,plain,
% 14.48/9.67 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0)))),
% 14.48/9.67 inference(monotonicity,[status(thm)],[339])).
% 14.48/9.67 tff(341,plain,
% 14.48/9.67 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0))),
% 14.48/9.67 inference(transitivity,[status(thm)],[340, 338])).
% 14.48/9.67 tff(342,plain,
% 14.48/9.67 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.48/9.67 inference(quant_inst,[status(thm)],[])).
% 14.48/9.67 tff(343,plain,
% 14.48/9.67 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0)),
% 14.48/9.67 inference(modus_ponens,[status(thm)],[342, 341])).
% 14.48/9.67 tff(344,plain,
% 14.48/9.67 (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp0),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[343, 330, 208, 290])).
% 14.48/9.67 tff(345,plain,
% 14.48/9.67 (tptp0 = tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.67 inference(symmetry,[status(thm)],[344])).
% 14.48/9.67 tff(346,plain,
% 14.48/9.67 (tptp0 = tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.48/9.67 inference(transitivity,[status(thm)],[345, 337])).
% 14.48/9.67 tff(347,plain,
% 14.48/9.67 (leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.67 inference(monotonicity,[status(thm)],[346])).
% 14.48/9.67 tff(348,plain,
% 14.48/9.67 (leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.67 inference(symmetry,[status(thm)],[347])).
% 14.48/9.67 tff(349,plain,
% 14.48/9.67 (((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))) | leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.67 inference(tautology,[status(thm)],[])).
% 14.48/9.67 tff(350,plain,
% 14.48/9.67 (leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[349, 315])).
% 14.48/9.67 tff(351,plain,
% 14.48/9.67 (leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.67 inference(modus_ponens,[status(thm)],[350, 348])).
% 14.48/9.67 tff(352,plain,
% 14.48/9.67 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 14.48/9.67 inference(quant_inst,[status(thm)],[])).
% 14.48/9.67 tff(353,plain,
% 14.48/9.67 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[352, 21])).
% 14.48/9.67 tff(354,plain,
% 14.48/9.67 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))),
% 14.48/9.67 inference(tautology,[status(thm)],[])).
% 14.48/9.67 tff(355,plain,
% 14.48/9.67 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[354, 353])).
% 14.48/9.67 tff(356,plain,
% 14.48/9.67 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.67 inference(tautology,[status(thm)],[])).
% 14.48/9.67 tff(357,plain,
% 14.48/9.67 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[356, 240])).
% 14.48/9.67 tff(358,plain,
% 14.48/9.67 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 14.48/9.67 inference(tautology,[status(thm)],[])).
% 14.48/9.67 tff(359,plain,
% 14.48/9.67 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[358, 357])).
% 14.48/9.67 tff(360,plain,
% 14.48/9.67 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[359, 355])).
% 14.48/9.67 tff(361,plain,
% 14.48/9.67 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.67 inference(tautology,[status(thm)],[])).
% 14.48/9.67 tff(362,plain,
% 14.48/9.67 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.67 inference(unit_resolution,[status(thm)],[361, 360])).
% 14.48/9.67 tff(363,plain,
% 14.48/9.67 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 14.48/9.67 inference(rewrite,[status(thm)],[])).
% 14.48/9.67 tff(364,plain,
% 14.48/9.67 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 14.48/9.67 inference(quant_inst,[status(thm)],[])).
% 14.48/9.67 tff(365,plain,
% 14.48/9.67 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.48/9.67 inference(modus_ponens,[status(thm)],[364, 363])).
% 14.48/9.67 tff(366,plain,
% 14.48/9.67 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.68 inference(unit_resolution,[status(thm)],[365, 95, 362])).
% 14.48/9.68 tff(367,plain,
% 14.48/9.68 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.68 inference(tautology,[status(thm)],[])).
% 14.48/9.68 tff(368,plain,
% 14.48/9.68 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.68 inference(unit_resolution,[status(thm)],[367, 366])).
% 14.48/9.68 tff(369,plain,
% 14.48/9.68 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 14.48/9.68 inference(tautology,[status(thm)],[])).
% 14.48/9.68 tff(370,plain,
% 14.48/9.68 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 14.48/9.68 inference(unit_resolution,[status(thm)],[369, 366])).
% 14.48/9.68 tff(371,plain,
% 14.48/9.68 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.68 inference(rewrite,[status(thm)],[])).
% 14.48/9.68 tff(372,plain,
% 14.48/9.68 (((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.68 inference(rewrite,[status(thm)],[])).
% 14.48/9.68 tff(373,plain,
% 14.48/9.68 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.68 inference(monotonicity,[status(thm)],[372])).
% 14.48/9.68 tff(374,plain,
% 14.48/9.68 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.68 inference(transitivity,[status(thm)],[373, 371])).
% 14.48/9.68 tff(375,plain,
% 14.48/9.68 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)))),
% 14.48/9.68 inference(quant_inst,[status(thm)],[])).
% 14.48/9.68 tff(376,plain,
% 14.48/9.68 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.68 inference(modus_ponens,[status(thm)],[375, 374])).
% 14.48/9.68 tff(377,plain,
% 14.48/9.68 ($false),
% 14.48/9.68 inference(unit_resolution,[status(thm)],[376, 370, 368, 351, 252])).
% 14.48/9.68 tff(378,plain,(~![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))), inference(lemma,lemma(discharge,[]))).
% 14.48/9.68 tff(379,plain,
% 14.48/9.68 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))))) <=> ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 14.48/9.68 inference(rewrite,[status(thm)],[])).
% 14.48/9.68 tff(380,plain,
% 14.48/9.68 ((~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37))))))) <=> (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))))),
% 14.48/9.68 inference(rewrite,[status(thm)],[])).
% 14.48/9.68 tff(381,plain,
% 14.48/9.68 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 14.48/9.68 inference(monotonicity,[status(thm)],[380])).
% 14.48/9.68 tff(382,plain,
% 14.48/9.68 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))))),
% 14.48/9.68 inference(transitivity,[status(thm)],[381, 379])).
% 14.48/9.68 tff(383,plain,
% 14.48/9.68 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))),
% 14.48/9.69 inference(quant_inst,[status(thm)],[])).
% 14.48/9.69 tff(384,plain,
% 14.48/9.69 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))))),
% 14.48/9.69 inference(modus_ponens,[status(thm)],[383, 382])).
% 14.48/9.69 tff(385,plain,
% 14.48/9.69 (~((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))))))),
% 14.48/9.69 inference(unit_resolution,[status(thm)],[384, 306])).
% 14.48/9.69 tff(386,plain,
% 14.48/9.69 (((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))))) | (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))),
% 14.48/9.69 inference(tautology,[status(thm)],[])).
% 14.48/9.69 tff(387,plain,
% 14.48/9.69 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))),
% 14.48/9.69 inference(unit_resolution,[status(thm)],[386, 385])).
% 14.48/9.69 tff(388,plain,
% 14.48/9.69 ((~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37))))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))),
% 14.48/9.69 inference(tautology,[status(thm)],[])).
% 14.48/9.69 tff(389,plain,
% 14.48/9.69 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X37)))),
% 14.48/9.69 inference(unit_resolution,[status(thm)],[388, 387])).
% 14.48/9.69 tff(390,plain,
% 14.48/9.69 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.69 inference(unit_resolution,[status(thm)],[389, 378])).
% 14.48/9.69 tff(391,plain,
% 14.48/9.69 (((~![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), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))),
% 14.48/9.69 inference(rewrite,[status(thm)],[])).
% 14.48/9.69 tff(392,plain,
% 14.48/9.69 ((~![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), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))),
% 14.48/9.69 inference(quant_inst,[status(thm)],[])).
% 14.48/9.69 tff(393,plain,
% 14.48/9.69 ((~![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), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))))),
% 14.48/9.69 inference(modus_ponens,[status(thm)],[392, 391])).
% 14.48/9.69 tff(394,plain,
% 14.48/9.69 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))),
% 14.48/9.69 inference(unit_resolution,[status(thm)],[393, 52, 370])).
% 14.48/9.69 tff(395,plain,
% 14.48/9.69 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.69 inference(tautology,[status(thm)],[])).
% 14.48/9.69 tff(396,plain,
% 14.48/9.69 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.69 inference(unit_resolution,[status(thm)],[395, 394])).
% 14.48/9.69 tff(397,plain,
% 14.48/9.69 (^[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))))),
% 14.48/9.69 inference(bind,[status(th)],[])).
% 14.48/9.69 tff(398,plain,
% 14.48/9.69 (![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)))),
% 14.48/9.69 inference(quant_intro,[status(thm)],[397])).
% 14.48/9.69 tff(399,plain,
% 14.48/9.69 (^[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)))))),
% 14.48/9.69 inference(bind,[status(th)],[])).
% 14.48/9.69 tff(400,plain,
% 14.48/9.69 (![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)))),
% 14.48/9.69 inference(quant_intro,[status(thm)],[399])).
% 14.48/9.69 tff(401,plain,
% 14.48/9.69 (![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))),
% 14.48/9.69 inference(rewrite,[status(thm)],[])).
% 14.48/9.69 tff(402,plain,
% 14.48/9.69 (^[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))))),
% 14.48/9.69 inference(bind,[status(th)],[])).
% 14.48/9.69 tff(403,plain,
% 14.48/9.69 (![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))),
% 14.48/9.69 inference(quant_intro,[status(thm)],[402])).
% 14.48/9.69 tff(404,axiom,(![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_03')).
% 14.48/9.69 tff(405,plain,
% 14.48/9.69 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 14.48/9.69 inference(modus_ponens,[status(thm)],[404, 403])).
% 14.48/9.69 tff(406,plain,
% 14.48/9.69 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 14.48/9.69 inference(modus_ponens,[status(thm)],[405, 401])).
% 14.48/9.69 tff(407,plain,(
% 14.48/9.69 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 14.48/9.69 inference(skolemize,[status(sab)],[406])).
% 14.48/9.69 tff(408,plain,
% 14.48/9.69 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 14.48/9.69 inference(modus_ponens,[status(thm)],[407, 400])).
% 14.48/9.69 tff(409,plain,
% 14.48/9.69 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 14.48/9.69 inference(modus_ponens,[status(thm)],[408, 398])).
% 14.48/9.69 tff(410,plain,
% 14.48/9.69 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.69 inference(rewrite,[status(thm)],[])).
% 14.48/9.69 tff(411,plain,
% 14.48/9.69 (((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.70 inference(rewrite,[status(thm)],[])).
% 14.48/9.70 tff(412,plain,
% 14.48/9.70 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.48/9.70 inference(monotonicity,[status(thm)],[411])).
% 14.48/9.70 tff(413,plain,
% 14.48/9.70 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.70 inference(transitivity,[status(thm)],[412, 410])).
% 14.48/9.70 tff(414,plain,
% 14.48/9.70 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.70 inference(quant_inst,[status(thm)],[])).
% 14.48/9.70 tff(415,plain,
% 14.48/9.70 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.70 inference(modus_ponens,[status(thm)],[414, 413])).
% 14.48/9.70 tff(416,plain,
% 14.48/9.70 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.70 inference(unit_resolution,[status(thm)],[415, 409, 104, 370, 396, 390])).
% 14.48/9.70 tff(417,plain,
% 14.48/9.70 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.48/9.70 inference(symmetry,[status(thm)],[416])).
% 14.48/9.70 tff(418,plain,
% 14.48/9.70 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.70 inference(monotonicity,[status(thm)],[417])).
% 14.48/9.70 tff(419,plain,
% 14.48/9.70 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.48/9.70 inference(symmetry,[status(thm)],[418])).
% 14.48/9.70 tff(420,plain,
% 14.48/9.70 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.48/9.70 inference(modus_ponens,[status(thm)],[362, 419])).
% 14.48/9.70 tff(421,plain,
% 14.48/9.70 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))))))),
% 14.48/9.70 inference(quant_inst,[status(thm)],[])).
% 14.48/9.70 tff(422,plain,
% 14.48/9.70 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))))))),
% 14.48/9.70 inference(unit_resolution,[status(thm)],[421, 21])).
% 14.48/9.70 tff(423,plain,
% 14.48/9.70 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))))),
% 14.48/9.70 inference(tautology,[status(thm)],[])).
% 14.48/9.70 tff(424,plain,
% 14.48/9.70 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))),
% 14.48/9.70 inference(unit_resolution,[status(thm)],[423, 422])).
% 14.48/9.70 tff(425,plain,
% 14.48/9.70 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.48/9.70 inference(tautology,[status(thm)],[])).
% 14.48/9.70 tff(426,plain,
% 14.48/9.70 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.48/9.70 inference(unit_resolution,[status(thm)],[425, 394])).
% 14.48/9.70 tff(427,plain,
% 14.48/9.70 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))),
% 14.48/9.70 inference(tautology,[status(thm)],[])).
% 14.48/9.70 tff(428,plain,
% 14.48/9.70 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))))),
% 14.48/9.70 inference(unit_resolution,[status(thm)],[427, 426])).
% 14.48/9.70 tff(429,plain,
% 14.48/9.70 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))))),
% 14.48/9.70 inference(unit_resolution,[status(thm)],[428, 424])).
% 14.48/9.70 tff(430,plain,
% 14.48/9.70 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))),
% 14.48/9.70 inference(tautology,[status(thm)],[])).
% 14.48/9.70 tff(431,plain,
% 14.48/9.70 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))),
% 14.48/9.70 inference(unit_resolution,[status(thm)],[430, 429])).
% 14.48/9.70 tff(432,plain,
% 14.48/9.70 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.71 inference(rewrite,[status(thm)],[])).
% 14.48/9.71 tff(433,plain,
% 14.48/9.71 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.71 inference(quant_inst,[status(thm)],[])).
% 14.48/9.71 tff(434,plain,
% 14.48/9.71 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.71 inference(modus_ponens,[status(thm)],[433, 432])).
% 14.48/9.71 tff(435,plain,
% 14.48/9.71 ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.48/9.71 inference(unit_resolution,[status(thm)],[434, 431])).
% 14.48/9.71 tff(436,plain,
% 14.48/9.71 (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.71 inference(unit_resolution,[status(thm)],[435, 420])).
% 14.48/9.71 tff(437,plain,
% 14.48/9.71 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.48/9.71 inference(monotonicity,[status(thm)],[416])).
% 14.48/9.71 tff(438,plain,
% 14.48/9.71 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.71 inference(symmetry,[status(thm)],[437])).
% 14.48/9.71 tff(439,plain,
% 14.48/9.71 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.48/9.71 inference(tautology,[status(thm)],[])).
% 14.48/9.71 tff(440,plain,
% 14.48/9.71 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.48/9.71 inference(unit_resolution,[status(thm)],[439, 429])).
% 14.48/9.71 tff(441,plain,
% 14.48/9.71 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.48/9.71 inference(modus_ponens,[status(thm)],[440, 438])).
% 14.48/9.71 tff(442,plain,
% 14.48/9.71 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))),
% 14.48/9.71 inference(tautology,[status(thm)],[])).
% 14.48/9.71 tff(443,plain,
% 14.48/9.71 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))),
% 14.48/9.71 inference(unit_resolution,[status(thm)],[442, 360])).
% 14.48/9.71 tff(444,plain,
% 14.48/9.71 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.71 inference(rewrite,[status(thm)],[])).
% 14.48/9.71 tff(445,plain,
% 14.48/9.71 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))) <=> ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.71 inference(rewrite,[status(thm)],[])).
% 14.48/9.71 tff(446,plain,
% 14.48/9.71 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.48/9.71 inference(monotonicity,[status(thm)],[445])).
% 14.48/9.71 tff(447,plain,
% 14.48/9.71 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.48/9.71 inference(transitivity,[status(thm)],[446, 444])).
% 14.48/9.71 tff(448,plain,
% 14.48/9.71 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))),
% 14.48/9.71 inference(quant_inst,[status(thm)],[])).
% 14.48/9.71 tff(449,plain,
% 14.48/9.71 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.71 inference(modus_ponens,[status(thm)],[448, 447])).
% 14.57/9.71 tff(450,plain,
% 14.57/9.71 ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[449, 443])).
% 14.57/9.71 tff(451,plain,
% 14.57/9.71 (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[450, 441])).
% 14.57/9.71 tff(452,plain,
% 14.57/9.71 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34)))))))),
% 14.57/9.71 inference(quant_inst,[status(thm)],[])).
% 14.57/9.71 tff(453,plain,
% 14.57/9.71 (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34))))))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[452, 149])).
% 14.57/9.71 tff(454,plain,
% 14.57/9.71 (((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X34)))))) | ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))),
% 14.57/9.71 inference(tautology,[status(thm)],[])).
% 14.57/9.71 tff(455,plain,
% 14.57/9.71 ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[454, 453])).
% 14.57/9.72 tff(456,plain,
% 14.57/9.72 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(457,plain,
% 14.57/9.72 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[456, 394])).
% 14.57/9.72 tff(458,plain,
% 14.57/9.72 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(459,plain,
% 14.57/9.72 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[458, 457])).
% 14.57/9.72 tff(460,plain,
% 14.57/9.72 (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[459, 455])).
% 14.57/9.72 tff(461,plain,
% 14.57/9.72 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(462,plain,
% 14.57/9.72 (subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[461, 460])).
% 14.57/9.72 tff(463,plain,
% 14.57/9.72 (^[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))))))),
% 14.57/9.72 inference(bind,[status(th)],[])).
% 14.57/9.72 tff(464,plain,
% 14.57/9.72 (![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)))))),
% 14.57/9.72 inference(quant_intro,[status(thm)],[463])).
% 14.57/9.72 tff(465,plain,
% 14.57/9.72 (^[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))))))),
% 14.57/9.72 inference(bind,[status(th)],[])).
% 14.57/9.72 tff(466,plain,
% 14.57/9.72 (![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)))))),
% 14.57/9.72 inference(quant_intro,[status(thm)],[465])).
% 14.57/9.72 tff(467,plain,
% 14.57/9.72 (![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)))),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(468,plain,
% 14.57/9.72 (^[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))))),
% 14.57/9.72 inference(bind,[status(th)],[])).
% 14.57/9.72 tff(469,plain,
% 14.57/9.72 (![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)))),
% 14.57/9.72 inference(quant_intro,[status(thm)],[468])).
% 14.57/9.72 tff(470,axiom,(![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_05')).
% 14.57/9.72 tff(471,plain,
% 14.57/9.72 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[470, 469])).
% 14.57/9.72 tff(472,plain,
% 14.57/9.72 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[471, 467])).
% 14.57/9.72 tff(473,plain,(
% 14.57/9.72 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 14.57/9.72 inference(skolemize,[status(sab)],[472])).
% 14.57/9.72 tff(474,plain,
% 14.57/9.72 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[473, 466])).
% 14.57/9.72 tff(475,plain,
% 14.57/9.72 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[474, 464])).
% 14.57/9.72 tff(476,plain,
% 14.57/9.72 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(477,plain,
% 14.57/9.72 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))))),
% 14.57/9.72 inference(quant_inst,[status(thm)],[])).
% 14.57/9.72 tff(478,plain,
% 14.57/9.72 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[477, 476])).
% 14.57/9.72 tff(479,plain,
% 14.57/9.72 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[478, 475, 426])).
% 14.57/9.72 tff(480,plain,
% 14.57/9.72 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))) | arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(481,plain,
% 14.57/9.72 (arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[480, 479])).
% 14.57/9.72 tff(482,plain,
% 14.57/9.72 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(483,plain,
% 14.57/9.72 (subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[482, 366])).
% 14.57/9.72 tff(484,plain,
% 14.57/9.72 (((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(485,plain,
% 14.57/9.72 ((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.57/9.72 inference(quant_inst,[status(thm)],[])).
% 14.57/9.72 tff(486,plain,
% 14.57/9.72 ((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[485, 484])).
% 14.57/9.72 tff(487,plain,
% 14.57/9.72 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[486, 475, 357])).
% 14.57/9.72 tff(488,plain,
% 14.57/9.72 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))) | arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(489,plain,
% 14.57/9.72 (arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[488, 487])).
% 14.57/9.72 tff(490,plain,
% 14.57/9.72 (^[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))))),
% 14.57/9.72 inference(bind,[status(th)],[])).
% 14.57/9.72 tff(491,plain,
% 14.57/9.72 (![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)))),
% 14.57/9.72 inference(quant_intro,[status(thm)],[490])).
% 14.57/9.72 tff(492,plain,
% 14.57/9.72 (^[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)))))),
% 14.57/9.72 inference(bind,[status(th)],[])).
% 14.57/9.72 tff(493,plain,
% 14.57/9.72 (![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)))),
% 14.57/9.72 inference(quant_intro,[status(thm)],[492])).
% 14.57/9.72 tff(494,plain,
% 14.57/9.72 (![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))))),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(495,plain,
% 14.57/9.72 (^[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))))))),
% 14.57/9.72 inference(bind,[status(th)],[])).
% 14.57/9.72 tff(496,plain,
% 14.57/9.72 (![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))))),
% 14.57/9.72 inference(quant_intro,[status(thm)],[495])).
% 14.57/9.72 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/sandbox2/benchmark/theBenchmark.p','sos_28')).
% 14.57/9.72 tff(498,plain,
% 14.57/9.72 (![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))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[497, 496])).
% 14.57/9.72 tff(499,plain,
% 14.57/9.72 (![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))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[498, 494])).
% 14.57/9.72 tff(500,plain,(
% 14.57/9.72 ![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))))),
% 14.57/9.72 inference(skolemize,[status(sab)],[499])).
% 14.57/9.72 tff(501,plain,
% 14.57/9.72 (![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)))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[500, 493])).
% 14.57/9.72 tff(502,plain,
% 14.57/9.72 (![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)))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[501, 491])).
% 14.57/9.72 tff(503,plain,
% 14.57/9.72 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.73 inference(rewrite,[status(thm)],[])).
% 14.57/9.73 tff(504,plain,
% 14.57/9.73 (((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.73 inference(rewrite,[status(thm)],[])).
% 14.57/9.73 tff(505,plain,
% 14.57/9.73 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.57/9.73 inference(monotonicity,[status(thm)],[504])).
% 14.57/9.73 tff(506,plain,
% 14.57/9.73 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), 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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.73 inference(transitivity,[status(thm)],[505, 503])).
% 14.57/9.73 tff(507,plain,
% 14.57/9.73 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.57/9.73 inference(quant_inst,[status(thm)],[])).
% 14.57/9.73 tff(508,plain,
% 14.57/9.73 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.73 inference(modus_ponens,[status(thm)],[507, 506])).
% 14.57/9.73 tff(509,plain,
% 14.57/9.73 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.73 inference(unit_resolution,[status(thm)],[508, 502, 489, 370, 483, 481, 462, 451, 436])).
% 14.57/9.73 tff(510,plain,
% 14.57/9.73 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.73 inference(symmetry,[status(thm)],[509])).
% 14.57/9.73 tff(511,plain,
% 14.57/9.73 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.73 inference(transitivity,[status(thm)],[249, 510])).
% 14.57/9.73 tff(512,plain,
% 14.57/9.73 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 14.57/9.73 inference(monotonicity,[status(thm)],[511])).
% 14.57/9.73 tff(513,plain,
% 14.57/9.73 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0) <=> min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 14.57/9.73 inference(symmetry,[status(thm)],[512])).
% 14.57/9.73 tff(514,plain,
% 14.57/9.73 ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)) <=> (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0))),
% 14.57/9.73 inference(monotonicity,[status(thm)],[513])).
% 14.57/9.73 tff(515,assumption,(![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))), introduced(assumption)).
% 14.57/9.73 tff(516,plain,
% 14.57/9.73 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))),
% 14.57/9.73 inference(rewrite,[status(thm)],[])).
% 14.57/9.73 tff(517,plain,
% 14.57/9.73 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))))),
% 14.57/9.73 inference(quant_inst,[status(thm)],[])).
% 14.57/9.73 tff(518,plain,
% 14.57/9.73 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X101!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X101!17))))),
% 14.57/9.73 inference(modus_ponens,[status(thm)],[517, 516])).
% 14.57/9.73 tff(519,plain,
% 14.57/9.73 (~((~activity(tptp0)) | (~activity_occurrence(X101!17)))),
% 14.57/9.73 inference(unit_resolution,[status(thm)],[518, 265, 39])).
% 14.57/9.73 tff(520,plain,
% 14.57/9.73 (((~activity(tptp0)) | (~activity_occurrence(X101!17))) | activity_occurrence(X101!17)),
% 14.57/9.73 inference(tautology,[status(thm)],[])).
% 14.57/9.73 tff(521,plain,
% 14.57/9.73 (activity_occurrence(X101!17)),
% 14.57/9.73 inference(unit_resolution,[status(thm)],[520, 519])).
% 14.57/9.73 tff(522,plain,
% 14.57/9.73 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X101!17)) | (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X101!17)) | (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))))),
% 14.57/9.73 inference(rewrite,[status(thm)],[])).
% 14.57/9.73 tff(523,plain,
% 14.57/9.73 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X101!17)) | (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))))),
% 14.57/9.73 inference(quant_inst,[status(thm)],[])).
% 14.57/9.73 tff(524,plain,
% 14.57/9.73 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X101!17)) | (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))))),
% 14.57/9.73 inference(modus_ponens,[status(thm)],[523, 522])).
% 14.57/9.73 tff(525,plain,
% 14.57/9.73 (~((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 14.57/9.73 inference(unit_resolution,[status(thm)],[524, 284, 521])).
% 14.57/9.73 tff(526,plain,
% 14.57/9.73 (((~activity(tptp_fun_X53_6(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))) | occurrence_of(X101!17, tptp_fun_X53_6(X101!17))),
% 14.57/9.73 inference(tautology,[status(thm)],[])).
% 14.57/9.73 tff(527,plain,
% 14.57/9.73 (occurrence_of(X101!17, tptp_fun_X53_6(X101!17))),
% 14.57/9.73 inference(unit_resolution,[status(thm)],[526, 525])).
% 14.57/9.73 tff(528,plain,
% 14.57/9.73 (((~![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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, X37)) | (~leaf(tptp_fun_X97_14(X101!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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, X37)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))))),
% 14.57/9.73 inference(rewrite,[status(thm)],[])).
% 14.57/9.73 tff(529,plain,
% 14.57/9.73 ((~((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, X37)) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))))),
% 14.57/9.73 inference(rewrite,[status(thm)],[])).
% 14.57/9.73 tff(530,plain,
% 14.57/9.73 (((~![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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, X37)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))))),
% 14.57/9.73 inference(monotonicity,[status(thm)],[529])).
% 14.57/9.73 tff(531,plain,
% 14.57/9.73 (((~![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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, X37)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))))),
% 14.57/9.73 inference(transitivity,[status(thm)],[530, 528])).
% 14.57/9.73 tff(532,plain,
% 14.57/9.73 ((~![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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~occurrence_of(X101!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))))),
% 14.57/9.73 inference(quant_inst,[status(thm)],[])).
% 14.57/9.73 tff(533,plain,
% 14.57/9.73 ((~![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(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, X37)) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))))),
% 14.57/9.73 inference(modus_ponens,[status(thm)],[532, 531])).
% 14.57/9.73 tff(534,plain,
% 14.57/9.73 (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, X37)) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))),
% 14.57/9.73 inference(unit_resolution,[status(thm)],[533, 306])).
% 14.57/9.73 tff(535,plain,
% 14.57/9.73 (((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), X101!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, X37)) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))) | ((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))),
% 14.57/9.73 inference(tautology,[status(thm)],[])).
% 14.57/9.73 tff(536,plain,
% 14.57/9.73 ((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))),
% 14.57/9.73 inference(unit_resolution,[status(thm)],[535, 534])).
% 14.57/9.73 tff(537,plain,
% 14.57/9.73 (((~occurrence_of(tptp_fun_X96_15(X101!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~occurrence_of(tptp_fun_X97_14(X101!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X101!17), X101!17)),
% 14.57/9.73 inference(tautology,[status(thm)],[])).
% 14.57/9.73 tff(538,plain,
% 14.57/9.73 (leaf_occ(tptp_fun_X97_14(X101!17), X101!17)),
% 14.57/9.73 inference(unit_resolution,[status(thm)],[537, 56])).
% 14.57/9.73 tff(539,plain,
% 14.57/9.73 ((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(540,plain,
% 14.57/9.74 ((~((~leaf_occ(tptp_fun_X97_14(X101!17), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[539, 538])).
% 14.57/9.74 tff(541,plain,
% 14.57/9.74 (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[540, 536])).
% 14.57/9.74 tff(542,plain,
% 14.57/9.74 (((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(543,plain,
% 14.57/9.74 (occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[542, 541])).
% 14.57/9.74 tff(544,plain,
% 14.57/9.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(545,plain,
% 14.57/9.74 (((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))) <=> ((~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(546,plain,
% 14.57/9.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))),
% 14.57/9.74 inference(monotonicity,[status(thm)],[545])).
% 14.57/9.74 tff(547,plain,
% 14.57/9.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 14.57/9.74 inference(transitivity,[status(thm)],[546, 544])).
% 14.57/9.74 tff(548,plain,
% 14.57/9.74 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 14.57/9.74 inference(quant_inst,[status(thm)],[])).
% 14.57/9.74 tff(549,plain,
% 14.57/9.74 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[548, 547])).
% 14.57/9.74 tff(550,plain,
% 14.57/9.74 (tptp_fun_X53_6(X101!17) = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[549, 330, 543, 527])).
% 14.57/9.74 tff(551,plain,
% 14.57/9.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(552,plain,
% 14.57/9.74 (((tptp_fun_X53_6(X101!17) = tptp0) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17)))) <=> ((~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(553,plain,
% 14.57/9.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp0) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0)))),
% 14.57/9.74 inference(monotonicity,[status(thm)],[552])).
% 14.57/9.74 tff(554,plain,
% 14.57/9.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp0) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0))),
% 14.57/9.74 inference(transitivity,[status(thm)],[553, 551])).
% 14.57/9.74 tff(555,plain,
% 14.57/9.74 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X101!17) = tptp0) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))))),
% 14.57/9.74 inference(quant_inst,[status(thm)],[])).
% 14.57/9.74 tff(556,plain,
% 14.57/9.74 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X101!17, tptp0)) | (~occurrence_of(X101!17, tptp_fun_X53_6(X101!17))) | (tptp_fun_X53_6(X101!17) = tptp0)),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[555, 554])).
% 14.57/9.74 tff(557,plain,
% 14.57/9.74 (tptp_fun_X53_6(X101!17) = tptp0),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[556, 330, 39, 527])).
% 14.57/9.74 tff(558,plain,
% 14.57/9.74 (tptp0 = tptp_fun_X53_6(X101!17)),
% 14.57/9.74 inference(symmetry,[status(thm)],[557])).
% 14.57/9.74 tff(559,plain,
% 14.57/9.74 (tptp0 = tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))),
% 14.57/9.74 inference(transitivity,[status(thm)],[558, 550])).
% 14.57/9.74 tff(560,plain,
% 14.57/9.74 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0) <=> min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(monotonicity,[status(thm)],[559])).
% 14.57/9.74 tff(561,plain,
% 14.57/9.74 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) <=> min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.74 inference(symmetry,[status(thm)],[560])).
% 14.57/9.74 tff(562,plain,
% 14.57/9.74 (^[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))))))))))),
% 14.57/9.74 inference(bind,[status(th)],[])).
% 14.57/9.74 tff(563,plain,
% 14.57/9.74 (![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)))))))))),
% 14.57/9.74 inference(quant_intro,[status(thm)],[562])).
% 14.57/9.74 tff(564,plain,
% 14.57/9.74 (^[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))))))))))),
% 14.57/9.74 inference(bind,[status(th)],[])).
% 14.57/9.74 tff(565,plain,
% 14.57/9.74 (![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)))))))))),
% 14.57/9.74 inference(quant_intro,[status(thm)],[564])).
% 14.57/9.74 tff(566,plain,
% 14.57/9.74 (![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)))))))))),
% 14.57/9.74 inference(transitivity,[status(thm)],[565, 563])).
% 14.57/9.74 tff(567,plain,
% 14.57/9.74 (^[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)))))))))))),
% 14.57/9.74 inference(bind,[status(th)],[])).
% 14.57/9.74 tff(568,plain,
% 14.57/9.74 (![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)))))))))),
% 14.57/9.74 inference(quant_intro,[status(thm)],[567])).
% 14.57/9.74 tff(569,plain,
% 14.57/9.74 (^[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))))),
% 14.57/9.74 inference(bind,[status(th)],[])).
% 14.57/9.74 tff(570,plain,
% 14.57/9.74 (![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)))),
% 14.57/9.74 inference(quant_intro,[status(thm)],[569])).
% 14.57/9.74 tff(571,plain,
% 14.57/9.74 (![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))))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(572,axiom,(![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_14')).
% 14.57/9.74 tff(573,plain,
% 14.57/9.74 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[572, 571])).
% 14.57/9.74 tff(574,plain,(
% 14.57/9.74 ![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))))),
% 14.57/9.74 inference(skolemize,[status(sab)],[573])).
% 14.57/9.74 tff(575,plain,
% 14.57/9.74 (![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)))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[574, 570])).
% 14.57/9.74 tff(576,plain,
% 14.57/9.74 (![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)))))))))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[575, 568])).
% 14.57/9.74 tff(577,plain,
% 14.57/9.74 (![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)))))))))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[576, 566])).
% 14.57/9.74 tff(578,plain,
% 14.57/9.74 ((~![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(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))))),
% 14.57/9.74 inference(quant_inst,[status(thm)],[])).
% 14.57/9.74 tff(579,plain,
% 14.57/9.74 (~((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[578, 577])).
% 14.57/9.74 tff(580,plain,
% 14.57/9.74 (((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~(leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X97_14(X101!17), tptp_fun_X45_4(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(581,plain,
% 14.57/9.74 ((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[580, 579])).
% 14.57/9.74 tff(582,plain,
% 14.57/9.74 (((~subactivity_occurrence(tptp_fun_X97_14(X101!17), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(583,plain,
% 14.57/9.74 (leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[582, 541])).
% 14.57/9.74 tff(584,plain,
% 14.57/9.74 ((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(585,plain,
% 14.57/9.74 ((~((~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))))) | (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[584, 583])).
% 14.57/9.74 tff(586,plain,
% 14.57/9.74 (~((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[585, 581])).
% 14.57/9.74 tff(587,plain,
% 14.57/9.74 (((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X101!17), X45, tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))))) | (root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(588,plain,
% 14.57/9.74 (root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[587, 586])).
% 14.57/9.74 tff(589,plain,
% 14.57/9.74 (tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)) = tptp_fun_X53_6(X101!17)),
% 14.57/9.74 inference(symmetry,[status(thm)],[550])).
% 14.57/9.74 tff(590,plain,
% 14.57/9.74 (tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)) = tptp0),
% 14.57/9.74 inference(transitivity,[status(thm)],[589, 557])).
% 14.57/9.74 tff(591,plain,
% 14.57/9.74 (root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) <=> root(tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.74 inference(monotonicity,[status(thm)],[590])).
% 14.57/9.74 tff(592,plain,
% 14.57/9.74 (root(tptp_fun_X97_14(X101!17), tptp0) <=> root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(symmetry,[status(thm)],[591])).
% 14.57/9.74 tff(593,plain,
% 14.57/9.74 ((~root(tptp_fun_X97_14(X101!17), tptp0)) <=> (~root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))),
% 14.57/9.74 inference(monotonicity,[status(thm)],[592])).
% 14.57/9.74 tff(594,plain,
% 14.57/9.74 (^[X25: $i, X26: $i, X27: $i] : refl(((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 14.57/9.74 inference(bind,[status(th)],[])).
% 14.57/9.74 tff(595,plain,
% 14.57/9.74 (![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)))),
% 14.57/9.74 inference(quant_intro,[status(thm)],[594])).
% 14.57/9.74 tff(596,plain,
% 14.57/9.74 (![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)))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(597,plain,
% 14.57/9.74 (^[X25: $i, X26: $i, X27: $i] : rewrite((min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 14.57/9.74 inference(bind,[status(th)],[])).
% 14.57/9.74 tff(598,plain,
% 14.57/9.74 (![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)))),
% 14.57/9.74 inference(quant_intro,[status(thm)],[597])).
% 14.57/9.74 tff(599,axiom,(![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 14.57/9.74 tff(600,plain,
% 14.57/9.74 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[599, 598])).
% 14.57/9.74 tff(601,plain,
% 14.57/9.74 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[600, 596])).
% 14.57/9.74 tff(602,plain,(
% 14.57/9.74 ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 14.57/9.74 inference(skolemize,[status(sab)],[601])).
% 14.57/9.74 tff(603,plain,
% 14.57/9.74 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[602, 595])).
% 14.57/9.74 tff(604,plain,
% 14.57/9.74 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(605,plain,
% 14.57/9.74 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)))),
% 14.57/9.74 inference(quant_inst,[status(thm)],[])).
% 14.57/9.74 tff(606,plain,
% 14.57/9.74 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[605, 604])).
% 14.57/9.74 tff(607,plain,
% 14.57/9.74 (~root(tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[606, 603, 202])).
% 14.57/9.74 tff(608,plain,
% 14.57/9.74 (~root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[607, 593])).
% 14.57/9.74 tff(609,plain,
% 14.57/9.74 ((~(root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))))) | root(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) | min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(610,plain,
% 14.57/9.74 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[609, 608, 588])).
% 14.57/9.74 tff(611,plain,
% 14.57/9.74 (min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[610, 561])).
% 14.57/9.74 tff(612,plain,
% 14.57/9.74 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!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_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(613,plain,
% 14.57/9.74 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))))),
% 14.57/9.74 inference(quant_inst,[status(thm)],[])).
% 14.57/9.74 tff(614,plain,
% 14.57/9.74 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))))),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[613, 612])).
% 14.57/9.74 tff(615,plain,
% 14.57/9.74 ((~min_precedes(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[614, 95])).
% 14.57/9.74 tff(616,plain,
% 14.57/9.74 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[615, 611])).
% 14.57/9.74 tff(617,plain,
% 14.57/9.74 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))) | subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(618,plain,
% 14.57/9.74 (subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[617, 616])).
% 14.57/9.74 tff(619,plain,
% 14.57/9.74 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)),
% 14.57/9.74 inference(tautology,[status(thm)],[])).
% 14.57/9.74 tff(620,plain,
% 14.57/9.74 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)),
% 14.57/9.74 inference(unit_resolution,[status(thm)],[619, 616])).
% 14.57/9.74 tff(621,plain,
% 14.57/9.74 (leaf(tptp_fun_X97_14(X101!17), tptp0) <=> leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)))),
% 14.57/9.74 inference(monotonicity,[status(thm)],[559])).
% 14.57/9.74 tff(622,plain,
% 14.57/9.74 (leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17))) <=> leaf(tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.74 inference(symmetry,[status(thm)],[621])).
% 14.57/9.74 tff(623,plain,
% 14.57/9.74 (leaf(tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.74 inference(modus_ponens,[status(thm)],[583, 622])).
% 14.57/9.74 tff(624,plain,
% 14.57/9.74 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(625,plain,
% 14.57/9.74 (((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0))) <=> ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 14.57/9.74 inference(rewrite,[status(thm)],[])).
% 14.57/9.74 tff(626,plain,
% 14.57/9.74 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))))),
% 14.57/9.75 inference(monotonicity,[status(thm)],[625])).
% 14.57/9.75 tff(627,plain,
% 14.57/9.75 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 14.57/9.75 inference(transitivity,[status(thm)],[626, 624])).
% 14.57/9.75 tff(628,plain,
% 14.57/9.75 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)))),
% 14.57/9.75 inference(quant_inst,[status(thm)],[])).
% 14.57/9.75 tff(629,plain,
% 14.57/9.75 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))),
% 14.57/9.75 inference(modus_ponens,[status(thm)],[628, 627])).
% 14.57/9.75 tff(630,plain,
% 14.57/9.75 ($false),
% 14.57/9.75 inference(unit_resolution,[status(thm)],[629, 623, 620, 618, 515])).
% 14.57/9.75 tff(631,plain,(~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))), inference(lemma,lemma(discharge,[]))).
% 14.57/9.75 tff(632,plain,
% 14.57/9.75 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))))))),
% 14.57/9.75 inference(rewrite,[status(thm)],[])).
% 14.57/9.75 tff(633,plain,
% 14.57/9.75 ((~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))))))),
% 14.57/9.75 inference(rewrite,[status(thm)],[])).
% 14.57/9.75 tff(634,plain,
% 14.57/9.75 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))))))),
% 14.57/9.75 inference(monotonicity,[status(thm)],[633])).
% 14.57/9.75 tff(635,plain,
% 14.57/9.75 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))))))),
% 14.57/9.75 inference(transitivity,[status(thm)],[634, 632])).
% 14.57/9.75 tff(636,plain,
% 14.57/9.75 ((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))))),
% 14.57/9.75 inference(quant_inst,[status(thm)],[])).
% 14.57/9.75 tff(637,plain,
% 14.57/9.75 ((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))))))),
% 14.57/9.75 inference(modus_ponens,[status(thm)],[636, 635])).
% 14.57/9.75 tff(638,plain,
% 14.57/9.75 (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))))),
% 14.57/9.75 inference(unit_resolution,[status(thm)],[637, 306])).
% 14.57/9.75 tff(639,plain,
% 14.57/9.75 (((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))))) | (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))),
% 14.57/9.75 inference(tautology,[status(thm)],[])).
% 14.57/9.75 tff(640,plain,
% 14.57/9.75 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))),
% 14.57/9.75 inference(unit_resolution,[status(thm)],[639, 638])).
% 14.57/9.75 tff(641,plain,
% 14.57/9.75 ((~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37))))) | leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))),
% 14.57/9.75 inference(tautology,[status(thm)],[])).
% 14.57/9.75 tff(642,plain,
% 14.57/9.75 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), X37)))),
% 14.57/9.75 inference(unit_resolution,[status(thm)],[641, 640])).
% 14.57/9.75 tff(643,plain,
% 14.57/9.75 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 14.57/9.75 inference(unit_resolution,[status(thm)],[642, 631])).
% 14.57/9.75 tff(644,plain,
% 14.57/9.75 (((~![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), 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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!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), 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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0)))))),
% 14.57/9.75 inference(rewrite,[status(thm)],[])).
% 14.57/9.75 tff(645,plain,
% 14.57/9.75 ((~![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), 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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0)))))),
% 14.57/9.75 inference(quant_inst,[status(thm)],[])).
% 14.57/9.75 tff(646,plain,
% 14.57/9.75 ((~![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), 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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0))))),
% 14.57/9.75 inference(modus_ponens,[status(thm)],[645, 644])).
% 14.57/9.75 tff(647,plain,
% 14.57/9.75 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0)))),
% 14.57/9.75 inference(unit_resolution,[status(thm)],[646, 52, 620])).
% 14.57/9.75 tff(648,plain,
% 14.57/9.75 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 14.57/9.76 inference(tautology,[status(thm)],[])).
% 14.57/9.76 tff(649,plain,
% 14.57/9.76 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 14.57/9.76 inference(unit_resolution,[status(thm)],[648, 647])).
% 14.57/9.76 tff(650,plain,
% 14.57/9.76 (((~![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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 14.57/9.76 inference(rewrite,[status(thm)],[])).
% 14.57/9.76 tff(651,plain,
% 14.57/9.76 (((tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 14.57/9.76 inference(rewrite,[status(thm)],[])).
% 14.57/9.76 tff(652,plain,
% 14.57/9.76 (((~![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(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))))),
% 14.57/9.76 inference(monotonicity,[status(thm)],[651])).
% 14.57/9.76 tff(653,plain,
% 14.57/9.76 (((~![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(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 14.57/9.76 inference(transitivity,[status(thm)],[652, 650])).
% 14.57/9.76 tff(654,plain,
% 14.57/9.76 ((~![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(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))))),
% 14.57/9.76 inference(quant_inst,[status(thm)],[])).
% 14.57/9.76 tff(655,plain,
% 14.57/9.76 ((~![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(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))) | (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)))),
% 14.57/9.76 inference(modus_ponens,[status(thm)],[654, 653])).
% 14.57/9.76 tff(656,plain,
% 14.57/9.76 (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 14.57/9.76 inference(unit_resolution,[status(thm)],[655, 409, 104, 620, 649, 643])).
% 14.57/9.76 tff(657,plain,
% 14.57/9.76 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(X101!17)),
% 14.57/9.76 inference(symmetry,[status(thm)],[656])).
% 14.57/9.76 tff(658,plain,
% 14.57/9.76 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) <=> leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.76 inference(monotonicity,[status(thm)],[657])).
% 14.57/9.76 tff(659,plain,
% 14.57/9.76 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) <=> leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.76 inference(symmetry,[status(thm)],[658])).
% 14.57/9.76 tff(660,assumption,(![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))), introduced(assumption)).
% 14.57/9.76 tff(661,plain,
% 14.57/9.76 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.76 inference(tautology,[status(thm)],[])).
% 14.57/9.76 tff(662,plain,
% 14.57/9.76 (subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.76 inference(unit_resolution,[status(thm)],[661, 206])).
% 14.57/9.76 tff(663,plain,
% 14.57/9.76 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)))),
% 14.57/9.76 inference(rewrite,[status(thm)],[])).
% 14.57/9.76 tff(664,plain,
% 14.57/9.76 (((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)))),
% 14.57/9.76 inference(rewrite,[status(thm)],[])).
% 14.57/9.76 tff(665,plain,
% 14.57/9.76 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0))))),
% 14.57/9.76 inference(monotonicity,[status(thm)],[664])).
% 14.57/9.76 tff(666,plain,
% 14.57/9.76 (((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) <=> ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0)))),
% 14.57/9.76 inference(transitivity,[status(thm)],[665, 663])).
% 14.57/9.76 tff(667,plain,
% 14.57/9.76 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | ((~leaf(tptp_fun_X97_14(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 14.57/9.76 inference(quant_inst,[status(thm)],[])).
% 14.57/9.76 tff(668,plain,
% 14.57/9.76 ((~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), tptp0))),
% 14.57/9.76 inference(modus_ponens,[status(thm)],[667, 666])).
% 14.57/9.76 tff(669,plain,
% 14.57/9.76 ($false),
% 14.57/9.76 inference(unit_resolution,[status(thm)],[668, 208, 662, 623, 660])).
% 14.57/9.76 tff(670,plain,(~![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))), inference(lemma,lemma(discharge,[]))).
% 14.57/9.76 tff(671,plain,
% 14.57/9.76 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37))))))))),
% 14.57/9.76 inference(rewrite,[status(thm)],[])).
% 14.57/9.76 tff(672,plain,
% 14.57/9.76 ((~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))))))),
% 14.57/9.76 inference(rewrite,[status(thm)],[])).
% 14.57/9.76 tff(673,plain,
% 14.57/9.76 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37))))))))),
% 14.57/9.76 inference(monotonicity,[status(thm)],[672])).
% 14.57/9.76 tff(674,plain,
% 14.57/9.76 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37))))))))),
% 14.57/9.76 inference(transitivity,[status(thm)],[673, 671])).
% 14.57/9.76 tff(675,plain,
% 14.57/9.76 ((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(X101!17), X37)))))))),
% 14.57/9.76 inference(quant_inst,[status(thm)],[])).
% 14.57/9.76 tff(676,plain,
% 14.57/9.76 ((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))))))),
% 14.57/9.76 inference(modus_ponens,[status(thm)],[675, 674])).
% 14.57/9.76 tff(677,plain,
% 14.57/9.76 (~((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37))))))),
% 14.57/9.76 inference(unit_resolution,[status(thm)],[676, 306])).
% 14.57/9.76 tff(678,plain,
% 14.57/9.76 (((~((~leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))) | (~leaf(tptp_fun_X97_14(X101!17), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(X101!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))))) | (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37))))),
% 14.57/9.76 inference(tautology,[status(thm)],[])).
% 14.57/9.76 tff(679,plain,
% 14.57/9.76 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))),
% 14.57/9.76 inference(unit_resolution,[status(thm)],[678, 677])).
% 14.57/9.76 tff(680,plain,
% 14.57/9.76 ((~(leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37))))) | leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))),
% 14.57/9.77 inference(tautology,[status(thm)],[])).
% 14.57/9.77 tff(681,plain,
% 14.57/9.77 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~leaf(tptp_fun_X97_14(X101!17), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), X37)))),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[680, 679])).
% 14.57/9.77 tff(682,plain,
% 14.57/9.77 (leaf_occ(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[681, 670])).
% 14.57/9.77 tff(683,plain,
% 14.57/9.77 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.77 inference(modus_ponens,[status(thm)],[682, 659])).
% 14.57/9.77 tff(684,plain,
% 14.57/9.77 (((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(685,plain,
% 14.57/9.77 (((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(686,plain,
% 14.57/9.77 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.57/9.77 inference(monotonicity,[status(thm)],[685])).
% 14.57/9.77 tff(687,plain,
% 14.57/9.77 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.77 inference(transitivity,[status(thm)],[686, 684])).
% 14.57/9.77 tff(688,plain,
% 14.57/9.77 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.77 inference(quant_inst,[status(thm)],[])).
% 14.57/9.77 tff(689,plain,
% 14.57/9.77 ((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.77 inference(modus_ponens,[status(thm)],[688, 687])).
% 14.57/9.77 tff(690,plain,
% 14.57/9.77 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[689, 409, 104, 208, 312, 683])).
% 14.57/9.77 tff(691,plain,
% 14.57/9.77 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X44_3(tptp_fun_X37_2(X101!17, tptp_fun_X97_14(X101!17)), tptp_fun_X97_14(X101!17)), tptp0))),
% 14.57/9.77 inference(symmetry,[status(thm)],[690])).
% 14.57/9.77 tff(692,plain,
% 14.57/9.77 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) = tptp_fun_X97_14(X101!17)),
% 14.57/9.77 inference(transitivity,[status(thm)],[417, 691, 657])).
% 14.57/9.77 tff(693,assumption,(![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))), introduced(assumption)).
% 14.57/9.77 tff(694,plain,
% 14.57/9.77 (((~![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(X101!17, tptp0)) | (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!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(X101!17, tptp0)) | (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(695,plain,
% 14.57/9.77 ((~![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(X101!17, tptp0)) | (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))))),
% 14.57/9.77 inference(quant_inst,[status(thm)],[])).
% 14.57/9.77 tff(696,plain,
% 14.57/9.77 ((~![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(X101!17, tptp0)) | (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))))),
% 14.57/9.77 inference(modus_ponens,[status(thm)],[695, 694])).
% 14.57/9.77 tff(697,plain,
% 14.57/9.77 (~((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[696, 117, 104, 39])).
% 14.57/9.77 tff(698,plain,
% 14.57/9.77 (((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))) | subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)),
% 14.57/9.77 inference(tautology,[status(thm)],[])).
% 14.57/9.77 tff(699,plain,
% 14.57/9.77 (subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[698, 697])).
% 14.57/9.77 tff(700,plain,
% 14.57/9.77 (((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))) | root(tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 14.57/9.77 inference(tautology,[status(thm)],[])).
% 14.57/9.77 tff(701,plain,
% 14.57/9.77 (root(tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[700, 697])).
% 14.57/9.77 tff(702,plain,
% 14.57/9.77 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(703,plain,
% 14.57/9.77 (((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0))) <=> ((~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(704,plain,
% 14.57/9.77 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))))),
% 14.57/9.77 inference(monotonicity,[status(thm)],[703])).
% 14.57/9.77 tff(705,plain,
% 14.57/9.77 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)))),
% 14.57/9.77 inference(transitivity,[status(thm)],[704, 702])).
% 14.57/9.77 tff(706,plain,
% 14.57/9.77 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)))),
% 14.57/9.77 inference(quant_inst,[status(thm)],[])).
% 14.57/9.77 tff(707,plain,
% 14.57/9.77 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))) | (~occurrence_of(X101!17, tptp0)) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17))),
% 14.57/9.77 inference(modus_ponens,[status(thm)],[706, 705])).
% 14.57/9.77 tff(708,plain,
% 14.57/9.77 ($false),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[707, 39, 701, 699, 693])).
% 14.57/9.77 tff(709,plain,(~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 14.57/9.77 tff(710,plain,
% 14.57/9.77 (((~![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_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!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_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(711,plain,
% 14.57/9.77 ((~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(712,plain,
% 14.57/9.77 (((~![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_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root(tptp_fun_X93_13(X101!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_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))))),
% 14.57/9.77 inference(monotonicity,[status(thm)],[711])).
% 14.57/9.77 tff(713,plain,
% 14.57/9.77 (((~![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_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root(tptp_fun_X93_13(X101!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_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))))),
% 14.57/9.77 inference(transitivity,[status(thm)],[712, 710])).
% 14.57/9.77 tff(714,plain,
% 14.57/9.77 ((~![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_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~occurrence_of(X101!17, X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))),
% 14.57/9.77 inference(quant_inst,[status(thm)],[])).
% 14.57/9.77 tff(715,plain,
% 14.57/9.77 ((~![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_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))))),
% 14.57/9.77 inference(modus_ponens,[status(thm)],[714, 713])).
% 14.57/9.77 tff(716,plain,
% 14.57/9.77 (~((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))))),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[715, 149])).
% 14.57/9.77 tff(717,plain,
% 14.57/9.77 (((~((~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X34_1(X101!17, tptp_fun_X93_13(X101!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))),
% 14.57/9.77 inference(tautology,[status(thm)],[])).
% 14.57/9.77 tff(718,plain,
% 14.57/9.77 (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[717, 716])).
% 14.57/9.77 tff(719,plain,
% 14.57/9.77 ((~(root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34))))) | root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))),
% 14.57/9.77 inference(tautology,[status(thm)],[])).
% 14.57/9.77 tff(720,plain,
% 14.57/9.77 (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~occurrence_of(X101!17, X34)) | (~root(tptp_fun_X93_13(X101!17, tptp0), X34)))),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[719, 718])).
% 14.57/9.77 tff(721,plain,
% 14.57/9.77 (root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[720, 709])).
% 14.57/9.77 tff(722,plain,
% 14.57/9.77 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!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(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(723,plain,
% 14.57/9.77 (((tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17))) <=> ((~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(724,plain,
% 14.57/9.77 (((~![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(X101!17, tptp0) = tptp_fun_X96_15(X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!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(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17))))),
% 14.57/9.77 inference(monotonicity,[status(thm)],[723])).
% 14.57/9.77 tff(725,plain,
% 14.57/9.77 (((~![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(X101!17, tptp0) = tptp_fun_X96_15(X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!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(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)))),
% 14.57/9.77 inference(transitivity,[status(thm)],[724, 722])).
% 14.57/9.77 tff(726,plain,
% 14.57/9.77 ((~![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(X101!17, tptp0) = tptp_fun_X96_15(X101!17)) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)))),
% 14.57/9.77 inference(quant_inst,[status(thm)],[])).
% 14.57/9.77 tff(727,plain,
% 14.57/9.77 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X101!17, tptp0)) | (~root_occ(tptp_fun_X96_15(X101!17), X101!17)) | (~root_occ(tptp_fun_X93_13(X101!17, tptp0), X101!17)) | (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17))),
% 14.57/9.77 inference(modus_ponens,[status(thm)],[726, 725])).
% 14.57/9.77 tff(728,plain,
% 14.57/9.77 (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X96_15(X101!17)),
% 14.57/9.77 inference(unit_resolution,[status(thm)],[727, 180, 39, 58, 721])).
% 14.57/9.77 tff(729,plain,
% 14.57/9.77 (min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.77 inference(monotonicity,[status(thm)],[728, 692])).
% 14.57/9.77 tff(730,plain,
% 14.57/9.77 (min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0) <=> min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.57/9.77 inference(symmetry,[status(thm)],[729])).
% 14.57/9.77 tff(731,plain,
% 14.57/9.77 (min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)),
% 14.57/9.77 inference(modus_ponens,[status(thm)],[202, 730])).
% 14.57/9.77 tff(732,plain,
% 14.57/9.77 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))),
% 14.57/9.77 inference(rewrite,[status(thm)],[])).
% 14.57/9.77 tff(733,plain,
% 14.57/9.77 (((~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0))) <=> ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(734,plain,
% 14.57/9.78 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))))),
% 14.57/9.78 inference(monotonicity,[status(thm)],[733])).
% 14.57/9.78 tff(735,plain,
% 14.57/9.78 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)))),
% 14.57/9.78 inference(transitivity,[status(thm)],[734, 732])).
% 14.57/9.78 tff(736,plain,
% 14.57/9.78 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)))),
% 14.57/9.78 inference(quant_inst,[status(thm)],[])).
% 14.57/9.78 tff(737,plain,
% 14.57/9.78 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[736, 735])).
% 14.57/9.78 tff(738,plain,
% 14.57/9.78 ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)) | (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp0))),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[737, 431])).
% 14.57/9.78 tff(739,plain,
% 14.57/9.78 (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)), tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[738, 731])).
% 14.57/9.78 tff(740,plain,
% 14.57/9.78 (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[739, 514])).
% 14.57/9.78 tff(741,plain,
% 14.57/9.78 (min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) <=> min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.57/9.78 inference(monotonicity,[status(thm)],[728])).
% 14.57/9.78 tff(742,plain,
% 14.57/9.78 (min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) <=> min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.57/9.78 inference(symmetry,[status(thm)],[741])).
% 14.57/9.78 tff(743,plain,
% 14.57/9.78 ((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) <=> (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0))),
% 14.57/9.78 inference(monotonicity,[status(thm)],[742])).
% 14.57/9.78 tff(744,plain,
% 14.57/9.78 (tptp_fun_X97_14(X101!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.78 inference(transitivity,[status(thm)],[656, 690])).
% 14.57/9.78 tff(745,plain,
% 14.57/9.78 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X97_14(X101!17), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.57/9.78 inference(monotonicity,[status(thm)],[249, 744])).
% 14.57/9.78 tff(746,plain,
% 14.57/9.78 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.78 inference(symmetry,[status(thm)],[745])).
% 14.57/9.78 tff(747,plain,
% 14.57/9.78 (min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X97_14(X101!17), tptp0)),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[362, 746])).
% 14.57/9.78 tff(748,plain,
% 14.57/9.78 (((~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X97_14(X101!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))),
% 14.57/9.78 inference(tautology,[status(thm)],[])).
% 14.57/9.78 tff(749,plain,
% 14.57/9.78 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[748, 200])).
% 14.57/9.78 tff(750,plain,
% 14.57/9.78 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(751,plain,
% 14.57/9.78 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)))),
% 14.57/9.78 inference(quant_inst,[status(thm)],[])).
% 14.57/9.78 tff(752,plain,
% 14.57/9.78 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), X18, tptp0)))) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[751, 750])).
% 14.57/9.78 tff(753,plain,
% 14.57/9.78 ((~min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X97_14(X101!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0))),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[752, 749])).
% 14.57/9.78 tff(754,plain,
% 14.57/9.78 (~min_precedes(tptp_fun_X96_15(X101!17), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[753, 747])).
% 14.57/9.78 tff(755,plain,
% 14.57/9.78 (~min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[754, 743])).
% 14.57/9.78 tff(756,plain,
% 14.57/9.78 (subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) <=> subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.78 inference(monotonicity,[status(thm)],[728])).
% 14.57/9.78 tff(757,plain,
% 14.57/9.78 (subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)) <=> subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.78 inference(symmetry,[status(thm)],[756])).
% 14.57/9.78 tff(758,plain,
% 14.57/9.78 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) | subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.78 inference(tautology,[status(thm)],[])).
% 14.57/9.78 tff(759,plain,
% 14.57/9.78 (subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[758, 206])).
% 14.57/9.78 tff(760,plain,
% 14.57/9.78 (subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[759, 757])).
% 14.57/9.78 tff(761,plain,
% 14.57/9.78 (^[X38: $i, X39: $i] : refl(((~root(X38, X39)) | legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 14.57/9.78 inference(bind,[status(th)],[])).
% 14.57/9.78 tff(762,plain,
% 14.57/9.78 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 14.57/9.78 inference(quant_intro,[status(thm)],[761])).
% 14.57/9.78 tff(763,plain,
% 14.57/9.78 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(764,plain,
% 14.57/9.78 (^[X38: $i, X39: $i] : rewrite((root(X38, X39) => legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 14.57/9.78 inference(bind,[status(th)],[])).
% 14.57/9.78 tff(765,plain,
% 14.57/9.78 (![X38: $i, X39: $i] : (root(X38, X39) => legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 14.57/9.78 inference(quant_intro,[status(thm)],[764])).
% 14.57/9.78 tff(766,axiom,(![X38: $i, X39: $i] : (root(X38, X39) => legal(X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_12')).
% 14.57/9.78 tff(767,plain,
% 14.57/9.78 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[766, 765])).
% 14.57/9.78 tff(768,plain,
% 14.57/9.78 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[767, 763])).
% 14.57/9.78 tff(769,plain,(
% 14.57/9.78 ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 14.57/9.78 inference(skolemize,[status(sab)],[768])).
% 14.57/9.78 tff(770,plain,
% 14.57/9.78 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[769, 762])).
% 14.57/9.78 tff(771,plain,
% 14.57/9.78 (((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) <=> ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(772,plain,
% 14.57/9.78 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 14.57/9.78 inference(quant_inst,[status(thm)],[])).
% 14.57/9.78 tff(773,plain,
% 14.57/9.78 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[772, 771])).
% 14.57/9.78 tff(774,plain,
% 14.57/9.78 (legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[773, 770, 216])).
% 14.57/9.78 tff(775,plain,
% 14.57/9.78 (^[X51: $i] : refl((arboreal(X51) | (~legal(X51))) <=> (arboreal(X51) | (~legal(X51))))),
% 14.57/9.78 inference(bind,[status(th)],[])).
% 14.57/9.78 tff(776,plain,
% 14.57/9.78 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 14.57/9.78 inference(quant_intro,[status(thm)],[775])).
% 14.57/9.78 tff(777,plain,
% 14.57/9.78 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(778,plain,
% 14.57/9.78 (^[X51: $i] : rewrite((legal(X51) => arboreal(X51)) <=> (arboreal(X51) | (~legal(X51))))),
% 14.57/9.78 inference(bind,[status(th)],[])).
% 14.57/9.78 tff(779,plain,
% 14.57/9.78 (![X51: $i] : (legal(X51) => arboreal(X51)) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 14.57/9.78 inference(quant_intro,[status(thm)],[778])).
% 14.57/9.78 tff(780,axiom,(![X51: $i] : (legal(X51) => arboreal(X51))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_17')).
% 14.57/9.78 tff(781,plain,
% 14.57/9.78 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[780, 779])).
% 14.57/9.78 tff(782,plain,
% 14.57/9.78 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[781, 777])).
% 14.57/9.78 tff(783,plain,(
% 14.57/9.78 ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 14.57/9.78 inference(skolemize,[status(sab)],[782])).
% 14.57/9.78 tff(784,plain,
% 14.57/9.78 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[783, 776])).
% 14.57/9.78 tff(785,plain,
% 14.57/9.78 (((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))))) <=> ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(786,plain,
% 14.57/9.78 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))))),
% 14.57/9.78 inference(quant_inst,[status(thm)],[])).
% 14.57/9.78 tff(787,plain,
% 14.57/9.78 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[786, 785])).
% 14.57/9.78 tff(788,plain,
% 14.57/9.78 (arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[787, 784, 774])).
% 14.57/9.78 tff(789,plain,
% 14.57/9.78 (((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X101!17, tptp0)))) <=> ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X101!17, tptp0)))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(790,plain,
% 14.57/9.78 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X101!17, tptp0)))),
% 14.57/9.78 inference(quant_inst,[status(thm)],[])).
% 14.57/9.78 tff(791,plain,
% 14.57/9.78 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(X101!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X101!17, tptp0))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[790, 789])).
% 14.57/9.78 tff(792,plain,
% 14.57/9.78 (legal(tptp_fun_X93_13(X101!17, tptp0))),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[791, 770, 701])).
% 14.57/9.78 tff(793,plain,
% 14.57/9.78 (((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(X101!17, tptp0)) | (~legal(tptp_fun_X93_13(X101!17, tptp0))))) <=> ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(X101!17, tptp0)) | (~legal(tptp_fun_X93_13(X101!17, tptp0))))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(794,plain,
% 14.57/9.78 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(X101!17, tptp0)) | (~legal(tptp_fun_X93_13(X101!17, tptp0))))),
% 14.57/9.78 inference(quant_inst,[status(thm)],[])).
% 14.57/9.78 tff(795,plain,
% 14.57/9.78 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(X101!17, tptp0)) | (~legal(tptp_fun_X93_13(X101!17, tptp0)))),
% 14.57/9.78 inference(modus_ponens,[status(thm)],[794, 793])).
% 14.57/9.78 tff(796,plain,
% 14.57/9.78 (arboreal(tptp_fun_X93_13(X101!17, tptp0))),
% 14.57/9.78 inference(unit_resolution,[status(thm)],[795, 784, 792])).
% 14.57/9.78 tff(797,plain,
% 14.57/9.78 (((~![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)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), 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)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(798,plain,
% 14.57/9.78 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0))),
% 14.57/9.78 inference(rewrite,[status(thm)],[])).
% 14.57/9.78 tff(799,plain,
% 14.57/9.78 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0)))),
% 14.57/9.78 inference(monotonicity,[status(thm)],[798])).
% 14.57/9.78 tff(800,plain,
% 14.57/9.78 (((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0))),
% 14.57/9.78 inference(transitivity,[status(thm)],[799, 797])).
% 14.57/9.78 tff(801,plain,
% 14.57/9.78 ((~![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_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.78 inference(quant_inst,[status(thm)],[])).
% 14.57/9.78 tff(802,plain,
% 14.57/9.78 ((~![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)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X93_13(X101!17, tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 14.57/9.79 inference(modus_ponens,[status(thm)],[801, 800])).
% 14.57/9.79 tff(803,plain,
% 14.57/9.79 (min_precedes(tptp_fun_X93_13(X101!17, tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)) | min_precedes(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X93_13(X101!17, tptp0), tptp0)),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[802, 502, 796, 208, 214, 788, 760])).
% 14.57/9.79 tff(804,plain,
% 14.57/9.79 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(X101!17, tptp0)),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[803, 755, 740])).
% 14.57/9.79 tff(805,plain,
% 14.57/9.79 (tptp_fun_X93_13(X101!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.57/9.79 inference(symmetry,[status(thm)],[804])).
% 14.57/9.79 tff(806,plain,
% 14.57/9.79 (tptp_fun_X96_15(X101!17) = tptp_fun_X93_13(X101!17, tptp0)),
% 14.57/9.79 inference(symmetry,[status(thm)],[728])).
% 14.57/9.79 tff(807,plain,
% 14.57/9.79 (tptp_fun_X96_15(X101!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.79 inference(transitivity,[status(thm)],[806, 805, 249])).
% 14.57/9.79 tff(808,plain,
% 14.57/9.79 (tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.79 inference(monotonicity,[status(thm)],[249])).
% 14.57/9.79 tff(809,plain,
% 14.57/9.79 (tptp_fun_X100_16(tptp_fun_X93_13(X101!17, tptp0)) = tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 14.57/9.79 inference(monotonicity,[status(thm)],[805])).
% 14.57/9.79 tff(810,plain,
% 14.57/9.79 (tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X100_16(tptp_fun_X93_13(X101!17, tptp0))),
% 14.57/9.79 inference(monotonicity,[status(thm)],[806])).
% 14.57/9.79 tff(811,plain,
% 14.57/9.79 (tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.79 inference(transitivity,[status(thm)],[810, 809, 808])).
% 14.57/9.79 tff(812,plain,
% 14.57/9.79 (tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0) = tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.57/9.79 inference(monotonicity,[status(thm)],[811, 807])).
% 14.57/9.79 tff(813,plain,
% 14.57/9.79 (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.79 inference(monotonicity,[status(thm)],[807, 812])).
% 14.57/9.79 tff(814,plain,
% 14.57/9.79 (tptp_fun_X96_15(X101!17) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.57/9.79 inference(transitivity,[status(thm)],[806, 805])).
% 14.57/9.79 tff(815,plain,
% 14.57/9.79 (root(tptp_fun_X96_15(X101!17), tptp0) <=> root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0)),
% 14.57/9.79 inference(monotonicity,[status(thm)],[814])).
% 14.57/9.79 tff(816,plain,
% 14.57/9.79 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp0) <=> root(tptp_fun_X96_15(X101!17), tptp0)),
% 14.57/9.79 inference(symmetry,[status(thm)],[815])).
% 14.57/9.79 tff(817,plain,
% 14.57/9.79 (root(tptp_fun_X96_15(X101!17), tptp0)),
% 14.57/9.79 inference(modus_ponens,[status(thm)],[216, 816])).
% 14.57/9.79 tff(818,assumption,(~root(tptp_fun_X96_15(X101!17), tptp0)), introduced(assumption)).
% 14.57/9.79 tff(819,plain,
% 14.57/9.79 ($false),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[818, 817])).
% 14.57/9.79 tff(820,plain,(root(tptp_fun_X96_15(X101!17), tptp0)), inference(lemma,lemma(discharge,[]))).
% 14.57/9.79 tff(821,assumption,(![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))), introduced(assumption)).
% 14.57/9.79 tff(822,plain,
% 14.57/9.79 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.79 inference(tautology,[status(thm)],[])).
% 14.57/9.79 tff(823,plain,
% 14.57/9.79 (subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[822, 99])).
% 14.57/9.79 tff(824,plain,
% 14.57/9.79 (((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.79 inference(rewrite,[status(thm)],[])).
% 14.57/9.79 tff(825,plain,
% 14.57/9.79 (((~root(tptp_fun_X96_15(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.79 inference(rewrite,[status(thm)],[])).
% 14.57/9.79 tff(826,plain,
% 14.57/9.79 (((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~root(tptp_fun_X96_15(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0))))),
% 14.57/9.79 inference(monotonicity,[status(thm)],[825])).
% 14.57/9.79 tff(827,plain,
% 14.57/9.79 (((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~root(tptp_fun_X96_15(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0)))),
% 14.57/9.79 inference(transitivity,[status(thm)],[826, 824])).
% 14.57/9.79 tff(828,plain,
% 14.57/9.79 ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))) | ((~root(tptp_fun_X96_15(X101!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)))),
% 14.57/9.79 inference(quant_inst,[status(thm)],[])).
% 14.57/9.79 tff(829,plain,
% 14.57/9.79 ((~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.79 inference(modus_ponens,[status(thm)],[828, 827])).
% 14.57/9.79 tff(830,plain,
% 14.57/9.79 ($false),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[829, 101, 823, 821, 820])).
% 14.57/9.79 tff(831,plain,(~![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 14.57/9.79 tff(832,plain,
% 14.57/9.79 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34))))))))),
% 14.57/9.79 inference(rewrite,[status(thm)],[])).
% 14.57/9.79 tff(833,plain,
% 14.57/9.79 ((~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), X34))))))) <=> (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))))))),
% 14.57/9.79 inference(rewrite,[status(thm)],[])).
% 14.57/9.79 tff(834,plain,
% 14.57/9.79 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), 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_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34))))))))),
% 14.57/9.79 inference(monotonicity,[status(thm)],[833])).
% 14.57/9.79 tff(835,plain,
% 14.57/9.79 (((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), 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_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34))))))))),
% 14.57/9.79 inference(transitivity,[status(thm)],[834, 832])).
% 14.57/9.79 tff(836,plain,
% 14.57/9.79 ((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~root(tptp_fun_X96_15(X101!17), X34)))))))),
% 14.57/9.79 inference(quant_inst,[status(thm)],[])).
% 14.57/9.79 tff(837,plain,
% 14.57/9.79 ((~![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(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))))))),
% 14.57/9.79 inference(modus_ponens,[status(thm)],[836, 835])).
% 14.57/9.79 tff(838,plain,
% 14.57/9.79 (~((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34))))))),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[837, 149])).
% 14.57/9.79 tff(839,plain,
% 14.57/9.79 (((~((~root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))) | (~root(tptp_fun_X96_15(X101!17), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X96_15(X101!17)))))))) | (~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))))) | (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34))))),
% 14.57/9.79 inference(tautology,[status(thm)],[])).
% 14.57/9.79 tff(840,plain,
% 14.57/9.79 (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[839, 838])).
% 14.57/9.79 tff(841,plain,
% 14.57/9.79 ((~(root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34))))) | root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))),
% 14.57/9.79 inference(tautology,[status(thm)],[])).
% 14.57/9.79 tff(842,plain,
% 14.57/9.79 (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(X101!17), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X34)))),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[841, 840])).
% 14.57/9.79 tff(843,plain,
% 14.57/9.79 (root_occ(tptp_fun_X96_15(X101!17), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.79 inference(unit_resolution,[status(thm)],[842, 831])).
% 14.57/9.79 tff(844,plain,
% 14.57/9.79 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.79 inference(modus_ponens,[status(thm)],[843, 813])).
% 14.57/9.79 tff(845,plain,
% 14.57/9.79 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.79 inference(modus_ponens,[status(thm)],[844, 251])).
% 14.57/9.79 tff(846,plain,
% 14.57/9.79 (tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0) = tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)),
% 14.57/9.79 inference(symmetry,[status(thm)],[812])).
% 14.57/9.79 tff(847,plain,
% 14.57/9.79 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.57/9.79 inference(monotonicity,[status(thm)],[846])).
% 14.57/9.79 tff(848,plain,
% 14.57/9.79 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) <=> root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.79 inference(symmetry,[status(thm)],[847])).
% 14.57/9.79 tff(849,plain,
% 14.57/9.79 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.57/9.79 inference(modus_ponens,[status(thm)],[161, 848])).
% 14.57/9.79 tff(850,plain,
% 14.57/9.79 (((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 14.57/9.79 inference(rewrite,[status(thm)],[])).
% 14.57/9.79 tff(851,plain,
% 14.57/9.79 ((~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 14.66/9.80 inference(rewrite,[status(thm)],[])).
% 14.66/9.80 tff(852,plain,
% 14.66/9.80 (((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 14.66/9.80 inference(monotonicity,[status(thm)],[851])).
% 14.66/9.80 tff(853,plain,
% 14.66/9.80 (((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 14.66/9.80 inference(transitivity,[status(thm)],[852, 850])).
% 14.66/9.80 tff(854,plain,
% 14.66/9.80 ((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 14.66/9.80 inference(quant_inst,[status(thm)],[])).
% 14.66/9.80 tff(855,plain,
% 14.66/9.80 ((~![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(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 14.66/9.80 inference(modus_ponens,[status(thm)],[854, 853])).
% 14.66/9.80 tff(856,plain,
% 14.66/9.80 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[855, 21])).
% 14.66/9.80 tff(857,plain,
% 14.66/9.80 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))),
% 14.66/9.80 inference(tautology,[status(thm)],[])).
% 14.66/9.80 tff(858,plain,
% 14.66/9.80 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[857, 856])).
% 14.66/9.80 tff(859,plain,
% 14.66/9.80 (((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) <=> ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 14.66/9.80 inference(rewrite,[status(thm)],[])).
% 14.66/9.80 tff(860,plain,
% 14.66/9.80 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 14.66/9.80 inference(quant_inst,[status(thm)],[])).
% 14.66/9.80 tff(861,plain,
% 14.66/9.80 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))),
% 14.66/9.80 inference(modus_ponens,[status(thm)],[860, 859])).
% 14.66/9.80 tff(862,plain,
% 14.66/9.80 (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[861, 71, 208, 242])).
% 14.66/9.80 tff(863,plain,
% 14.66/9.80 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.80 inference(tautology,[status(thm)],[])).
% 14.66/9.80 tff(864,plain,
% 14.66/9.80 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[863, 862])).
% 14.66/9.80 tff(865,plain,
% 14.66/9.80 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 14.66/9.80 inference(tautology,[status(thm)],[])).
% 14.66/9.80 tff(866,plain,
% 14.66/9.80 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[865, 864])).
% 14.66/9.80 tff(867,plain,
% 14.66/9.80 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[866, 858])).
% 14.66/9.80 tff(868,plain,
% 14.66/9.80 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.80 inference(tautology,[status(thm)],[])).
% 14.66/9.80 tff(869,plain,
% 14.66/9.80 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[868, 867])).
% 14.66/9.80 tff(870,plain,
% 14.66/9.80 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 14.66/9.80 inference(rewrite,[status(thm)],[])).
% 14.66/9.80 tff(871,plain,
% 14.66/9.80 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 14.66/9.80 inference(quant_inst,[status(thm)],[])).
% 14.66/9.80 tff(872,plain,
% 14.66/9.80 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.66/9.80 inference(modus_ponens,[status(thm)],[871, 870])).
% 14.66/9.80 tff(873,plain,
% 14.66/9.80 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[872, 95, 869])).
% 14.66/9.80 tff(874,plain,
% 14.66/9.80 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 14.66/9.80 inference(tautology,[status(thm)],[])).
% 14.66/9.80 tff(875,plain,
% 14.66/9.80 (occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 14.66/9.80 inference(unit_resolution,[status(thm)],[874, 873])).
% 14.66/9.80 tff(876,plain,
% 14.66/9.80 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), 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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(877,plain,
% 14.66/9.81 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(878,plain,
% 14.66/9.81 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), 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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.66/9.81 inference(monotonicity,[status(thm)],[877])).
% 14.66/9.81 tff(879,plain,
% 14.66/9.81 (((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), 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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.81 inference(transitivity,[status(thm)],[878, 876])).
% 14.66/9.81 tff(880,plain,
% 14.66/9.81 ((~![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(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.81 inference(quant_inst,[status(thm)],[])).
% 14.66/9.81 tff(881,plain,
% 14.66/9.81 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[880, 879])).
% 14.66/9.81 tff(882,plain,
% 14.66/9.81 ((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[881, 180, 875])).
% 14.66/9.81 tff(883,plain,
% 14.66/9.81 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[882, 849, 845])).
% 14.66/9.81 tff(884,plain,
% 14.66/9.81 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)),
% 14.66/9.81 inference(symmetry,[status(thm)],[883])).
% 14.66/9.81 tff(885,plain,
% 14.66/9.81 (tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) = tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 14.66/9.81 inference(monotonicity,[status(thm)],[884])).
% 14.66/9.81 tff(886,plain,
% 14.66/9.81 (tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0), tptp0)) = tptp_fun_X100_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0))),
% 14.66/9.81 inference(symmetry,[status(thm)],[885])).
% 14.66/9.81 tff(887,plain,
% 14.66/9.81 (tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.66/9.81 inference(transitivity,[status(thm)],[810, 809, 886, 190])).
% 14.66/9.81 tff(888,plain,
% 14.66/9.81 ((tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) <=> (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.66/9.81 inference(monotonicity,[status(thm)],[887])).
% 14.66/9.81 tff(889,plain,
% 14.66/9.81 ((tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) <=> (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.66/9.81 inference(transitivity,[status(thm)],[888, 1])).
% 14.66/9.81 tff(890,plain,
% 14.66/9.81 ((~(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> (~(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.66/9.81 inference(monotonicity,[status(thm)],[889])).
% 14.66/9.81 tff(891,plain,
% 14.66/9.81 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)),
% 14.66/9.81 inference(tautology,[status(thm)],[])).
% 14.66/9.81 tff(892,plain,
% 14.66/9.81 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[891, 165])).
% 14.66/9.81 tff(893,plain,
% 14.66/9.81 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(894,plain,
% 14.66/9.81 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.66/9.81 inference(quant_inst,[status(thm)],[])).
% 14.66/9.81 tff(895,plain,
% 14.66/9.81 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[894, 893])).
% 14.66/9.81 tff(896,plain,
% 14.66/9.81 (~((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[895, 265, 892])).
% 14.66/9.81 tff(897,plain,
% 14.66/9.81 (((~activity(tptp3)) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.66/9.81 inference(tautology,[status(thm)],[])).
% 14.66/9.81 tff(898,plain,
% 14.66/9.81 (activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[897, 896])).
% 14.66/9.81 tff(899,plain,
% 14.66/9.81 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(900,plain,
% 14.66/9.81 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 14.66/9.81 inference(quant_inst,[status(thm)],[])).
% 14.66/9.81 tff(901,plain,
% 14.66/9.81 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[900, 899])).
% 14.66/9.81 tff(902,plain,
% 14.66/9.81 (~((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[901, 284, 898])).
% 14.66/9.81 tff(903,plain,
% 14.66/9.81 (((~activity(tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.66/9.81 inference(tautology,[status(thm)],[])).
% 14.66/9.81 tff(904,plain,
% 14.66/9.81 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[903, 902])).
% 14.66/9.81 tff(905,plain,
% 14.66/9.81 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(906,plain,
% 14.66/9.81 (((tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))) <=> ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(907,plain,
% 14.66/9.81 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3)))),
% 14.66/9.81 inference(monotonicity,[status(thm)],[906])).
% 14.66/9.81 tff(908,plain,
% 14.66/9.81 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3))),
% 14.66/9.81 inference(transitivity,[status(thm)],[907, 905])).
% 14.66/9.81 tff(909,plain,
% 14.66/9.81 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.66/9.81 inference(quant_inst,[status(thm)],[])).
% 14.66/9.81 tff(910,plain,
% 14.66/9.81 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3)),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[909, 908])).
% 14.66/9.81 tff(911,plain,
% 14.66/9.81 (tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp3),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[910, 330, 892, 904])).
% 14.66/9.81 tff(912,assumption,(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), introduced(assumption)).
% 14.66/9.81 tff(913,plain,
% 14.66/9.81 (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp_fun_X53_6(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.66/9.81 inference(monotonicity,[status(thm)],[912])).
% 14.66/9.81 tff(914,plain,
% 14.66/9.81 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~next_subocc(tptp_fun_X96_15(X101!17), tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp0))) | occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)),
% 14.66/9.81 inference(tautology,[status(thm)],[])).
% 14.66/9.81 tff(915,plain,
% 14.66/9.81 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[914, 75])).
% 14.66/9.81 tff(916,plain,
% 14.66/9.81 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(917,plain,
% 14.66/9.81 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))))),
% 14.66/9.81 inference(quant_inst,[status(thm)],[])).
% 14.66/9.81 tff(918,plain,
% 14.66/9.81 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[917, 916])).
% 14.66/9.81 tff(919,plain,
% 14.66/9.81 (~((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[918, 265, 915])).
% 14.66/9.81 tff(920,plain,
% 14.66/9.81 (((~activity(tptp1)) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))),
% 14.66/9.81 inference(tautology,[status(thm)],[])).
% 14.66/9.81 tff(921,plain,
% 14.66/9.81 (activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[920, 919])).
% 14.66/9.81 tff(922,plain,
% 14.66/9.81 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(923,plain,
% 14.66/9.81 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))))),
% 14.66/9.81 inference(quant_inst,[status(thm)],[])).
% 14.66/9.81 tff(924,plain,
% 14.66/9.81 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))))),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[923, 922])).
% 14.66/9.81 tff(925,plain,
% 14.66/9.81 (~((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[924, 284, 921])).
% 14.66/9.81 tff(926,plain,
% 14.66/9.81 (((~activity(tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))) | occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))),
% 14.66/9.81 inference(tautology,[status(thm)],[])).
% 14.66/9.81 tff(927,plain,
% 14.66/9.81 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[926, 925])).
% 14.66/9.81 tff(928,plain,
% 14.66/9.81 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(929,plain,
% 14.66/9.81 (((tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))))) <=> ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(930,plain,
% 14.66/9.81 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1)))),
% 14.66/9.81 inference(monotonicity,[status(thm)],[929])).
% 14.66/9.81 tff(931,plain,
% 14.66/9.81 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1))),
% 14.66/9.81 inference(transitivity,[status(thm)],[930, 928])).
% 14.66/9.81 tff(932,plain,
% 14.66/9.81 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))))),
% 14.66/9.81 inference(quant_inst,[status(thm)],[])).
% 14.66/9.81 tff(933,plain,
% 14.66/9.81 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp1)) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))))) | (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1)),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[932, 931])).
% 14.66/9.81 tff(934,plain,
% 14.66/9.81 (tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17))) = tptp1),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[933, 330, 915, 927])).
% 14.66/9.81 tff(935,plain,
% 14.66/9.81 (tptp1 = tptp_fun_X53_6(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)))),
% 14.66/9.81 inference(symmetry,[status(thm)],[934])).
% 14.66/9.81 tff(936,plain,
% 14.66/9.81 (tptp1 = tptp3),
% 14.66/9.81 inference(transitivity,[status(thm)],[935, 913, 911])).
% 14.66/9.81 tff(937,plain,
% 14.66/9.81 ((~(tptp1 = tptp3)) <=> (~(tptp1 = tptp3))),
% 14.66/9.81 inference(rewrite,[status(thm)],[])).
% 14.66/9.81 tff(938,axiom,(~(tptp1 = tptp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_42')).
% 14.66/9.81 tff(939,plain,
% 14.66/9.81 (~(tptp1 = tptp3)),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[938, 937])).
% 14.66/9.81 tff(940,plain,
% 14.66/9.81 ($false),
% 14.66/9.81 inference(unit_resolution,[status(thm)],[939, 936])).
% 14.66/9.81 tff(941,plain,(~(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 14.66/9.81 tff(942,plain,
% 14.66/9.81 (~(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.66/9.81 inference(modus_ponens,[status(thm)],[941, 890])).
% 14.66/9.81 tff(943,plain,
% 14.66/9.81 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))),
% 14.66/9.81 inference(transitivity,[status(thm)],[188, 884, 249])).
% 14.66/9.81 tff(944,plain,
% 14.66/9.81 (tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.66/9.81 inference(transitivity,[status(thm)],[189, 885, 808])).
% 14.66/9.81 tff(945,plain,
% 14.66/9.81 (tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) = tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.66/9.81 inference(monotonicity,[status(thm)],[944, 943])).
% 14.66/9.81 tff(946,plain,
% 14.66/9.81 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.66/9.81 inference(monotonicity,[status(thm)],[945])).
% 14.66/9.81 tff(947,plain,
% 14.66/9.81 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) <=> subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.66/9.82 inference(symmetry,[status(thm)],[946])).
% 14.66/9.82 tff(948,plain,
% 14.66/9.82 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) <=> subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.66/9.82 inference(monotonicity,[status(thm)],[812])).
% 14.66/9.82 tff(949,plain,
% 14.66/9.82 ((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37)))))))),
% 14.66/9.82 inference(quant_inst,[status(thm)],[])).
% 14.66/9.82 tff(950,plain,
% 14.66/9.82 (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37))))))),
% 14.66/9.82 inference(unit_resolution,[status(thm)],[949, 306])).
% 14.66/9.82 tff(951,plain,
% 14.66/9.82 (((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X37)))))) | ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))),
% 14.66/9.82 inference(tautology,[status(thm)],[])).
% 14.66/9.82 tff(952,plain,
% 14.66/9.82 ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.66/9.82 inference(unit_resolution,[status(thm)],[951, 950])).
% 14.66/9.82 tff(953,plain,
% 14.66/9.82 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.66/9.82 inference(tautology,[status(thm)],[])).
% 14.66/9.82 tff(954,plain,
% 14.66/9.82 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.66/9.82 inference(unit_resolution,[status(thm)],[953, 165])).
% 14.66/9.82 tff(955,plain,
% 14.66/9.82 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.66/9.82 inference(tautology,[status(thm)],[])).
% 14.66/9.82 tff(956,plain,
% 14.66/9.82 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.66/9.82 inference(unit_resolution,[status(thm)],[955, 954])).
% 14.66/9.82 tff(957,plain,
% 14.66/9.82 (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.66/9.82 inference(unit_resolution,[status(thm)],[956, 952])).
% 14.66/9.82 tff(958,plain,
% 14.66/9.82 (((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))) | subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.66/9.82 inference(tautology,[status(thm)],[])).
% 14.66/9.82 tff(959,plain,
% 14.66/9.82 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))),
% 14.66/9.82 inference(unit_resolution,[status(thm)],[958, 957])).
% 14.66/9.82 tff(960,plain,
% 14.66/9.82 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X101!17), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.66/9.82 inference(modus_ponens,[status(thm)],[959, 948])).
% 14.66/9.82 tff(961,plain,
% 14.66/9.82 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.66/9.82 inference(modus_ponens,[status(thm)],[960, 947])).
% 14.66/9.82 tff(962,plain,
% 14.66/9.82 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 14.66/9.82 inference(rewrite,[status(thm)],[])).
% 14.66/9.82 tff(963,plain,
% 14.66/9.82 ((~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 14.66/9.82 inference(rewrite,[status(thm)],[])).
% 14.66/9.82 tff(964,plain,
% 14.66/9.82 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 14.66/9.82 inference(monotonicity,[status(thm)],[963])).
% 14.66/9.82 tff(965,plain,
% 14.66/9.82 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))))),
% 14.66/9.82 inference(transitivity,[status(thm)],[964, 962])).
% 14.66/9.82 tff(966,plain,
% 14.66/9.82 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 14.66/9.82 inference(quant_inst,[status(thm)],[])).
% 14.66/9.82 tff(967,plain,
% 14.66/9.82 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))))),
% 14.66/9.82 inference(modus_ponens,[status(thm)],[966, 965])).
% 14.66/9.82 tff(968,plain,
% 14.66/9.82 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[967, 21])).
% 14.66/9.83 tff(969,plain,
% 14.66/9.83 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(970,plain,
% 14.66/9.83 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[969, 968])).
% 14.66/9.83 tff(971,plain,
% 14.66/9.83 (((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))) <=> ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 14.66/9.83 inference(rewrite,[status(thm)],[])).
% 14.66/9.83 tff(972,plain,
% 14.66/9.83 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 14.66/9.83 inference(quant_inst,[status(thm)],[])).
% 14.66/9.83 tff(973,plain,
% 14.66/9.83 ((~![X98: $i, X99: $i] : ((~occurrence_of(X99, tptp0)) | (~root_occ(X98, X99)) | (~((~occurrence_of(tptp_fun_X100_16(X98), tptp1)) | (~next_subocc(X98, tptp_fun_X100_16(X98), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))),
% 14.66/9.83 inference(modus_ponens,[status(thm)],[972, 971])).
% 14.66/9.83 tff(974,plain,
% 14.66/9.83 (~((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[973, 71, 101, 167])).
% 14.66/9.83 tff(975,plain,
% 14.66/9.83 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(976,plain,
% 14.66/9.83 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[975, 974])).
% 14.66/9.83 tff(977,plain,
% 14.66/9.83 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(978,plain,
% 14.66/9.83 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[977, 976])).
% 14.66/9.83 tff(979,plain,
% 14.66/9.83 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[978, 970])).
% 14.66/9.83 tff(980,plain,
% 14.66/9.83 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))) | ![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(981,plain,
% 14.66/9.83 (![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[980, 979])).
% 14.66/9.83 tff(982,plain,
% 14.66/9.83 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))))),
% 14.66/9.83 inference(quant_inst,[status(thm)],[])).
% 14.66/9.83 tff(983,plain,
% 14.66/9.83 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[982, 21])).
% 14.66/9.83 tff(984,plain,
% 14.66/9.83 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(985,plain,
% 14.66/9.83 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[984, 983])).
% 14.66/9.83 tff(986,plain,
% 14.66/9.83 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(987,plain,
% 14.66/9.83 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[986, 165])).
% 14.66/9.83 tff(988,plain,
% 14.66/9.83 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(989,plain,
% 14.66/9.83 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[988, 987])).
% 14.66/9.83 tff(990,plain,
% 14.66/9.83 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))))),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[989, 985])).
% 14.66/9.83 tff(991,plain,
% 14.66/9.83 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(992,plain,
% 14.66/9.83 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[991, 990])).
% 14.66/9.83 tff(993,plain,
% 14.66/9.83 (((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 14.66/9.83 inference(rewrite,[status(thm)],[])).
% 14.66/9.83 tff(994,plain,
% 14.66/9.83 ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 14.66/9.83 inference(quant_inst,[status(thm)],[])).
% 14.66/9.83 tff(995,plain,
% 14.66/9.83 ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))),
% 14.66/9.83 inference(modus_ponens,[status(thm)],[994, 993])).
% 14.66/9.83 tff(996,plain,
% 14.66/9.83 (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[995, 992, 981])).
% 14.66/9.83 tff(997,plain,
% 14.66/9.83 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.83 inference(tautology,[status(thm)],[])).
% 14.66/9.83 tff(998,plain,
% 14.66/9.83 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)),
% 14.66/9.83 inference(unit_resolution,[status(thm)],[997, 979])).
% 14.66/9.83 tff(999,plain,
% 14.66/9.83 (((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 14.66/9.83 inference(rewrite,[status(thm)],[])).
% 14.66/9.83 tff(1000,plain,
% 14.66/9.83 ((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))))),
% 14.66/9.84 inference(quant_inst,[status(thm)],[])).
% 14.66/9.84 tff(1001,plain,
% 14.66/9.84 ((~![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(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.66/9.84 inference(modus_ponens,[status(thm)],[1000, 999])).
% 14.66/9.84 tff(1002,plain,
% 14.66/9.84 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1001, 95, 998])).
% 14.66/9.84 tff(1003,plain,
% 14.66/9.84 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.66/9.84 inference(tautology,[status(thm)],[])).
% 14.66/9.84 tff(1004,plain,
% 14.66/9.84 (subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1003, 1002])).
% 14.66/9.84 tff(1005,plain,
% 14.66/9.84 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 14.66/9.84 inference(tautology,[status(thm)],[])).
% 14.66/9.84 tff(1006,plain,
% 14.66/9.84 (occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1005, 1002])).
% 14.66/9.84 tff(1007,plain,
% 14.66/9.84 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))),
% 14.66/9.84 inference(tautology,[status(thm)],[])).
% 14.66/9.84 tff(1008,plain,
% 14.66/9.84 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1007, 990])).
% 14.66/9.84 tff(1009,plain,
% 14.66/9.84 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.66/9.84 inference(rewrite,[status(thm)],[])).
% 14.66/9.84 tff(1010,plain,
% 14.66/9.84 (((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))) <=> ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.66/9.84 inference(rewrite,[status(thm)],[])).
% 14.66/9.84 tff(1011,plain,
% 14.66/9.84 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.84 inference(monotonicity,[status(thm)],[1010])).
% 14.66/9.84 tff(1012,plain,
% 14.66/9.84 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.66/9.84 inference(transitivity,[status(thm)],[1011, 1009])).
% 14.66/9.84 tff(1013,plain,
% 14.66/9.84 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)))),
% 14.66/9.84 inference(quant_inst,[status(thm)],[])).
% 14.66/9.84 tff(1014,plain,
% 14.66/9.84 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))),
% 14.66/9.84 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 14.66/9.84 tff(1015,plain,
% 14.66/9.84 (~min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1014, 1008, 998])).
% 14.66/9.84 tff(1016,plain,
% 14.66/9.84 (((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0))) | occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)),
% 14.66/9.84 inference(tautology,[status(thm)],[])).
% 14.66/9.84 tff(1017,plain,
% 14.66/9.84 (occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1016, 974])).
% 14.66/9.84 tff(1018,plain,
% 14.66/9.84 (^[X40: $i, X41: $i] : refl(((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 14.66/9.84 inference(bind,[status(th)],[])).
% 14.66/9.84 tff(1019,plain,
% 14.66/9.84 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 14.66/9.84 inference(quant_intro,[status(thm)],[1018])).
% 14.66/9.84 tff(1020,plain,
% 14.66/9.84 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 14.66/9.84 inference(rewrite,[status(thm)],[])).
% 14.66/9.84 tff(1021,plain,
% 14.66/9.84 (^[X40: $i, X41: $i] : rewrite((occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 14.66/9.84 inference(bind,[status(th)],[])).
% 14.66/9.84 tff(1022,plain,
% 14.66/9.84 (![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 14.66/9.84 inference(quant_intro,[status(thm)],[1021])).
% 14.66/9.84 tff(1023,axiom,(![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 14.66/9.84 tff(1024,plain,
% 14.66/9.84 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 14.66/9.84 inference(modus_ponens,[status(thm)],[1023, 1022])).
% 14.66/9.84 tff(1025,plain,
% 14.66/9.84 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 14.66/9.84 inference(modus_ponens,[status(thm)],[1024, 1020])).
% 14.66/9.84 tff(1026,plain,(
% 14.66/9.84 ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 14.66/9.84 inference(skolemize,[status(sab)],[1025])).
% 14.66/9.84 tff(1027,plain,
% 14.66/9.84 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 14.66/9.84 inference(modus_ponens,[status(thm)],[1026, 1019])).
% 14.66/9.84 tff(1028,plain,
% 14.66/9.84 (((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)))) <=> ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)))),
% 14.66/9.84 inference(rewrite,[status(thm)],[])).
% 14.66/9.84 tff(1029,plain,
% 14.66/9.84 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)))),
% 14.66/9.84 inference(quant_inst,[status(thm)],[])).
% 14.66/9.84 tff(1030,plain,
% 14.66/9.84 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp1)) | (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1))),
% 14.66/9.84 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 14.66/9.84 tff(1031,plain,
% 14.66/9.84 (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1)),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1030, 1027, 1017])).
% 14.66/9.84 tff(1032,plain,
% 14.66/9.84 (atomic(tptp1) <=> atomic(tptp1)),
% 14.66/9.84 inference(rewrite,[status(thm)],[])).
% 14.66/9.84 tff(1033,axiom,(atomic(tptp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_38')).
% 14.66/9.84 tff(1034,plain,
% 14.66/9.84 (atomic(tptp1)),
% 14.66/9.84 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 14.66/9.84 tff(1035,plain,
% 14.66/9.84 ((~(arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1))) | arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~atomic(tptp1))),
% 14.66/9.84 inference(tautology,[status(thm)],[])).
% 14.66/9.84 tff(1036,plain,
% 14.66/9.84 ((~(arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) <=> atomic(tptp1))) | arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1035, 1034])).
% 14.66/9.84 tff(1037,plain,
% 14.66/9.84 (arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1036, 1031])).
% 14.66/9.84 tff(1038,plain,
% 14.66/9.84 (((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.66/9.84 inference(rewrite,[status(thm)],[])).
% 14.66/9.84 tff(1039,plain,
% 14.66/9.84 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))))),
% 14.66/9.84 inference(quant_inst,[status(thm)],[])).
% 14.66/9.84 tff(1040,plain,
% 14.66/9.84 ((~![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_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))))),
% 14.66/9.84 inference(modus_ponens,[status(thm)],[1039, 1038])).
% 14.66/9.84 tff(1041,plain,
% 14.66/9.84 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))))),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1040, 475, 987])).
% 14.66/9.84 tff(1042,plain,
% 14.66/9.84 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.66/9.84 inference(tautology,[status(thm)],[])).
% 14.66/9.84 tff(1043,plain,
% 14.66/9.84 (arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))),
% 14.66/9.84 inference(unit_resolution,[status(thm)],[1042, 1041])).
% 14.66/9.84 tff(1044,plain,
% 14.66/9.84 (((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), 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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.84 inference(rewrite,[status(thm)],[])).
% 14.66/9.84 tff(1045,plain,
% 14.66/9.84 (((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))) <=> ((~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.84 inference(rewrite,[status(thm)],[])).
% 14.66/9.84 tff(1046,plain,
% 14.66/9.84 (((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), 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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))))),
% 14.66/9.84 inference(monotonicity,[status(thm)],[1045])).
% 14.66/9.84 tff(1047,plain,
% 14.66/9.84 (((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), 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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.84 inference(transitivity,[status(thm)],[1046, 1044])).
% 14.66/9.84 tff(1048,plain,
% 14.66/9.84 ((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))))),
% 14.66/9.84 inference(quant_inst,[status(thm)],[])).
% 14.66/9.84 tff(1049,plain,
% 14.66/9.84 ((~![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_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~arboreal(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))))) | min_precedes(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.66/9.85 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 14.66/9.85 tff(1050,plain,
% 14.66/9.85 ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)) = tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X100_16(tptp_fun_X96_15(X101!17)), tptp_fun_X96_15(X101!17), tptp0)), tptp0)))),
% 14.66/9.85 inference(unit_resolution,[status(thm)],[1049, 502, 1043, 1037, 1015, 1006, 1004, 996])).
% 14.66/9.85 tff(1051,plain,
% 14.66/9.85 ($false),
% 14.66/9.85 inference(unit_resolution,[status(thm)],[1050, 961, 942])).
% 14.66/9.85 % SZS output end Proof
%------------------------------------------------------------------------------