TSTP Solution File: PRO004+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PRO004+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 13:52:19 EDT 2022
% Result : Theorem 1.48s 1.19s
% Output : Proof 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO004+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 17:55:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 1.48/1.19 % SZS status Theorem
% 1.48/1.19 % SZS output start Proof
% 1.48/1.19 tff(root_type, type, (
% 1.48/1.19 root: ( $i * $i ) > $o)).
% 1.48/1.19 tff(tptp_fun_X34_1_type, type, (
% 1.48/1.19 tptp_fun_X34_1: ( $i * $i ) > $i)).
% 1.48/1.19 tff(tptp_fun_X96_15_type, type, (
% 1.48/1.19 tptp_fun_X96_15: $i > $i)).
% 1.48/1.19 tff(tptp_fun_X73_8_type, type, (
% 1.48/1.19 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 1.48/1.19 tff(tptp0_type, type, (
% 1.48/1.19 tptp0: $i)).
% 1.48/1.19 tff(tptp_fun_X93_13_type, type, (
% 1.48/1.19 tptp_fun_X93_13: ( $i * $i ) > $i)).
% 1.48/1.19 tff(tptp_fun_X69_7_type, type, (
% 1.48/1.19 tptp_fun_X69_7: ( $i * $i ) > $i)).
% 1.48/1.19 tff(tptp_fun_X97_14_type, type, (
% 1.48/1.19 tptp_fun_X97_14: $i > $i)).
% 1.48/1.19 tff(tptp_fun_X105_17_type, type, (
% 1.48/1.19 tptp_fun_X105_17: $i)).
% 1.48/1.19 tff(tptp_fun_X37_2_type, type, (
% 1.48/1.19 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 1.48/1.19 tff(tptp_fun_X104_16_type, type, (
% 1.48/1.19 tptp_fun_X104_16: $i > $i)).
% 1.48/1.19 tff(tptp_fun_X53_6_type, type, (
% 1.48/1.19 tptp_fun_X53_6: $i > $i)).
% 1.48/1.19 tff(occurrence_of_type, type, (
% 1.48/1.19 occurrence_of: ( $i * $i ) > $o)).
% 1.48/1.19 tff(activity_type, type, (
% 1.48/1.19 activity: $i > $o)).
% 1.48/1.19 tff(activity_occurrence_type, type, (
% 1.48/1.19 activity_occurrence: $i > $o)).
% 1.48/1.19 tff(subactivity_occurrence_type, type, (
% 1.48/1.19 subactivity_occurrence: ( $i * $i ) > $o)).
% 1.48/1.19 tff(min_precedes_type, type, (
% 1.48/1.19 min_precedes: ( $i * $i * $i ) > $o)).
% 1.48/1.19 tff(next_subocc_type, type, (
% 1.48/1.19 next_subocc: ( $i * $i * $i ) > $o)).
% 1.48/1.19 tff(tptp_fun_X18_0_type, type, (
% 1.48/1.19 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 1.48/1.19 tff(tptp1_type, type, (
% 1.48/1.19 tptp1: $i)).
% 1.48/1.19 tff(leaf_occ_type, type, (
% 1.48/1.19 leaf_occ: ( $i * $i ) > $o)).
% 1.48/1.19 tff(tptp3_type, type, (
% 1.48/1.19 tptp3: $i)).
% 1.48/1.19 tff(root_occ_type, type, (
% 1.48/1.19 root_occ: ( $i * $i ) > $o)).
% 1.48/1.19 tff(tptp4_type, type, (
% 1.48/1.19 tptp4: $i)).
% 1.48/1.19 tff(leaf_type, type, (
% 1.48/1.19 leaf: ( $i * $i ) > $o)).
% 1.48/1.19 tff(atomic_type, type, (
% 1.48/1.19 atomic: $i > $o)).
% 1.48/1.19 tff(arboreal_type, type, (
% 1.48/1.19 arboreal: $i > $o)).
% 1.48/1.19 tff(legal_type, type, (
% 1.48/1.19 legal: $i > $o)).
% 1.48/1.19 tff(1,plain,
% 1.48/1.19 (^[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)))))))))))),
% 1.48/1.19 inference(bind,[status(th)],[])).
% 1.48/1.19 tff(2,plain,
% 1.48/1.19 (![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))))))))))),
% 1.48/1.19 inference(quant_intro,[status(thm)],[1])).
% 1.48/1.19 tff(3,plain,
% 1.48/1.19 (^[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)))))))))),
% 1.48/1.19 inference(bind,[status(th)],[])).
% 1.48/1.19 tff(4,plain,
% 1.48/1.19 (![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))))))))),
% 1.48/1.19 inference(quant_intro,[status(thm)],[3])).
% 1.48/1.19 tff(5,plain,
% 1.48/1.19 (^[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)))))))))),
% 1.48/1.19 inference(bind,[status(th)],[])).
% 1.48/1.19 tff(6,plain,
% 1.48/1.19 (![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))))))))),
% 1.48/1.19 inference(quant_intro,[status(thm)],[5])).
% 1.48/1.19 tff(7,plain,
% 1.48/1.19 (![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))))))))),
% 1.48/1.19 inference(transitivity,[status(thm)],[6, 4])).
% 1.48/1.19 tff(8,plain,
% 1.48/1.19 (^[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))))))))))),
% 1.48/1.19 inference(bind,[status(th)],[])).
% 1.48/1.19 tff(9,plain,
% 1.48/1.19 (![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))))))))),
% 1.48/1.19 inference(quant_intro,[status(thm)],[8])).
% 1.48/1.19 tff(10,plain,
% 1.48/1.19 (^[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)))))),
% 1.48/1.19 inference(bind,[status(th)],[])).
% 1.48/1.19 tff(11,plain,
% 1.48/1.19 (![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))))),
% 1.48/1.19 inference(quant_intro,[status(thm)],[10])).
% 1.48/1.19 tff(12,plain,
% 1.48/1.19 (![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)))))),
% 1.48/1.19 inference(rewrite,[status(thm)],[])).
% 1.48/1.19 tff(13,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')).
% 1.48/1.19 tff(14,plain,
% 1.48/1.19 (![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)))))),
% 1.48/1.19 inference(modus_ponens,[status(thm)],[13, 12])).
% 1.48/1.19 tff(15,plain,(
% 1.48/1.19 ![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)))))),
% 1.48/1.19 inference(skolemize,[status(sab)],[14])).
% 1.48/1.19 tff(16,plain,
% 1.48/1.19 (![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))))),
% 1.48/1.19 inference(modus_ponens,[status(thm)],[15, 11])).
% 1.48/1.19 tff(17,plain,
% 1.48/1.19 (![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))))))))),
% 1.48/1.19 inference(modus_ponens,[status(thm)],[16, 9])).
% 1.48/1.19 tff(18,plain,
% 1.48/1.19 (![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))))))))),
% 1.48/1.19 inference(modus_ponens,[status(thm)],[17, 7])).
% 1.48/1.19 tff(19,plain,
% 1.48/1.19 (![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))))))))))),
% 1.48/1.19 inference(modus_ponens,[status(thm)],[18, 2])).
% 1.48/1.19 tff(20,plain,
% 1.48/1.19 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))))))))),
% 1.48/1.19 inference(rewrite,[status(thm)],[])).
% 1.48/1.19 tff(21,plain,
% 1.48/1.19 ((~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))))))))),
% 1.48/1.19 inference(rewrite,[status(thm)],[])).
% 1.48/1.19 tff(22,plain,
% 1.48/1.19 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))))))))),
% 1.48/1.20 inference(monotonicity,[status(thm)],[21])).
% 1.48/1.20 tff(23,plain,
% 1.48/1.20 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))))))))),
% 1.48/1.20 inference(transitivity,[status(thm)],[22, 20])).
% 1.48/1.20 tff(24,plain,
% 1.48/1.20 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0))))))))))),
% 1.48/1.20 inference(quant_inst,[status(thm)],[])).
% 1.48/1.20 tff(25,plain,
% 1.48/1.20 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))))))))),
% 1.48/1.20 inference(modus_ponens,[status(thm)],[24, 23])).
% 1.48/1.20 tff(26,plain,
% 1.48/1.20 (~((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))))))),
% 1.48/1.20 inference(unit_resolution,[status(thm)],[25, 19])).
% 1.48/1.20 tff(27,plain,
% 1.48/1.20 (((~(next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))))))) | ((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))))),
% 1.48/1.20 inference(tautology,[status(thm)],[])).
% 1.48/1.20 tff(28,plain,
% 1.48/1.20 ((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))))),
% 1.48/1.20 inference(unit_resolution,[status(thm)],[27, 26])).
% 1.48/1.20 tff(29,assumption,(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)), introduced(assumption)).
% 1.48/1.20 tff(30,plain,
% 1.48/1.20 (root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0) <=> root(tptp_fun_X97_14(X105!17), tptp0)),
% 1.48/1.20 inference(monotonicity,[status(thm)],[29])).
% 1.48/1.20 tff(31,plain,
% 1.48/1.20 (root(tptp_fun_X97_14(X105!17), tptp0) <=> root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)),
% 1.48/1.20 inference(symmetry,[status(thm)],[30])).
% 1.48/1.20 tff(32,plain,
% 1.48/1.20 ((~root(tptp_fun_X97_14(X105!17), tptp0)) <=> (~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.48/1.20 inference(monotonicity,[status(thm)],[31])).
% 1.48/1.20 tff(33,plain,
% 1.48/1.20 ((~![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(X105!17), tptp_fun_X97_14(X105!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp_fun_X97_14(X105!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))))))),
% 1.48/1.20 inference(quant_inst,[status(thm)],[])).
% 1.48/1.20 tff(34,plain,
% 1.48/1.20 (~((~(next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp_fun_X97_14(X105!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))))))),
% 1.48/1.20 inference(unit_resolution,[status(thm)],[33, 19])).
% 1.48/1.20 tff(35,plain,
% 1.48/1.20 (((~(next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X105!17), tptp_fun_X96_15(X105!17)), tptp_fun_X97_14(X105!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))))),
% 1.48/1.20 inference(tautology,[status(thm)],[])).
% 1.48/1.20 tff(36,plain,
% 1.48/1.20 ((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))),
% 1.48/1.20 inference(unit_resolution,[status(thm)],[35, 34])).
% 1.48/1.20 tff(37,plain,
% 1.48/1.20 (?[X105: $i] : occurrence_of(X105, tptp0) <=> ?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.48/1.20 inference(rewrite,[status(thm)],[])).
% 1.48/1.20 tff(38,plain,
% 1.48/1.20 ((~(~?[X105: $i] : occurrence_of(X105, tptp0))) <=> ?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.48/1.20 inference(rewrite,[status(thm)],[])).
% 1.48/1.20 tff(39,plain,
% 1.48/1.20 ((~?[X105: $i] : occurrence_of(X105, tptp0)) <=> (~?[X105: $i] : occurrence_of(X105, tptp0))),
% 1.48/1.20 inference(rewrite,[status(thm)],[])).
% 1.48/1.20 tff(40,plain,
% 1.48/1.20 ((~(~?[X105: $i] : occurrence_of(X105, tptp0))) <=> (~(~?[X105: $i] : occurrence_of(X105, tptp0)))),
% 1.48/1.20 inference(monotonicity,[status(thm)],[39])).
% 1.48/1.20 tff(41,plain,
% 1.48/1.20 ((~(~?[X105: $i] : occurrence_of(X105, tptp0))) <=> ?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.48/1.20 inference(transitivity,[status(thm)],[40, 38])).
% 1.48/1.20 tff(42,axiom,(~(~?[X105: $i] : occurrence_of(X105, tptp0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 1.48/1.20 tff(43,plain,
% 1.48/1.20 (?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.48/1.20 inference(modus_ponens,[status(thm)],[42, 41])).
% 1.48/1.20 tff(44,plain,
% 1.48/1.20 (?[X105: $i] : occurrence_of(X105, tptp0)),
% 1.48/1.20 inference(modus_ponens,[status(thm)],[43, 37])).
% 1.48/1.20 tff(45,plain,(
% 1.48/1.20 occurrence_of(X105!17, tptp0)),
% 1.48/1.20 inference(skolemize,[status(sab)],[44])).
% 1.48/1.20 tff(46,plain,
% 1.48/1.20 (^[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))))))),
% 1.48/1.20 inference(bind,[status(th)],[])).
% 1.48/1.20 tff(47,plain,
% 1.48/1.20 (![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)))))),
% 1.48/1.20 inference(quant_intro,[status(thm)],[46])).
% 1.48/1.20 tff(48,plain,
% 1.48/1.20 (^[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))))))),
% 1.48/1.20 inference(bind,[status(th)],[])).
% 1.48/1.20 tff(49,plain,
% 1.48/1.20 (![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)))))),
% 1.48/1.20 inference(quant_intro,[status(thm)],[48])).
% 1.48/1.20 tff(50,plain,
% 1.48/1.20 (![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)))),
% 1.48/1.20 inference(rewrite,[status(thm)],[])).
% 1.48/1.20 tff(51,plain,
% 1.48/1.20 (^[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)))))),
% 1.48/1.20 inference(bind,[status(th)],[])).
% 1.48/1.20 tff(52,plain,
% 1.48/1.20 (![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)))),
% 1.48/1.20 inference(quant_intro,[status(thm)],[51])).
% 1.48/1.20 tff(53,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')).
% 1.48/1.20 tff(54,plain,
% 1.48/1.20 (![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)))),
% 1.48/1.20 inference(modus_ponens,[status(thm)],[53, 52])).
% 1.48/1.20 tff(55,plain,
% 1.48/1.20 (![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)))),
% 1.48/1.20 inference(modus_ponens,[status(thm)],[54, 50])).
% 1.48/1.20 tff(56,plain,(
% 1.48/1.20 ![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)))),
% 1.48/1.20 inference(skolemize,[status(sab)],[55])).
% 1.48/1.20 tff(57,plain,
% 1.48/1.20 (![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)))))),
% 1.48/1.20 inference(modus_ponens,[status(thm)],[56, 49])).
% 1.48/1.20 tff(58,plain,
% 1.48/1.20 (![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)))))),
% 1.48/1.20 inference(modus_ponens,[status(thm)],[57, 47])).
% 1.48/1.20 tff(59,plain,
% 1.48/1.20 (((~![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(X105!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!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(X105!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(60,plain,
% 1.48/1.21 ((~![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(X105!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))))),
% 1.48/1.21 inference(quant_inst,[status(thm)],[])).
% 1.48/1.21 tff(61,plain,
% 1.48/1.21 ((~![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(X105!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[60, 59])).
% 1.48/1.21 tff(62,plain,
% 1.48/1.21 (~((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[61, 58, 45])).
% 1.48/1.21 tff(63,plain,
% 1.48/1.21 (((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0))) | next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(64,plain,
% 1.48/1.21 (next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[63, 62])).
% 1.48/1.21 tff(65,plain,
% 1.48/1.21 ((~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(66,plain,
% 1.48/1.21 ((~((~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[65, 64])).
% 1.48/1.21 tff(67,plain,
% 1.48/1.21 (~((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0)))))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[66, 36])).
% 1.48/1.21 tff(68,plain,
% 1.48/1.21 (((~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(69,plain,
% 1.48/1.21 (min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[68, 67])).
% 1.48/1.21 tff(70,plain,
% 1.48/1.21 (^[X25: $i, X26: $i, X27: $i] : refl(((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(71,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[70])).
% 1.48/1.21 tff(72,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(73,plain,
% 1.48/1.21 (^[X25: $i, X26: $i, X27: $i] : rewrite((min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(74,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[73])).
% 1.48/1.21 tff(75,axiom,(![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 1.48/1.21 tff(76,plain,
% 1.48/1.21 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[75, 74])).
% 1.48/1.21 tff(77,plain,
% 1.48/1.21 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[76, 72])).
% 1.48/1.21 tff(78,plain,(
% 1.48/1.21 ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.48/1.21 inference(skolemize,[status(sab)],[77])).
% 1.48/1.21 tff(79,plain,
% 1.48/1.21 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[78, 71])).
% 1.48/1.21 tff(80,plain,
% 1.48/1.21 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(81,plain,
% 1.48/1.21 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0)))),
% 1.48/1.21 inference(quant_inst,[status(thm)],[])).
% 1.48/1.21 tff(82,plain,
% 1.48/1.21 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(X105!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[81, 80])).
% 1.48/1.21 tff(83,plain,
% 1.48/1.21 (~root(tptp_fun_X97_14(X105!17), tptp0)),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[82, 79, 69])).
% 1.48/1.21 tff(84,plain,
% 1.48/1.21 (~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[83, 32])).
% 1.48/1.21 tff(85,plain,
% 1.48/1.21 (^[X89: $i, X90: $i] : refl(((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(86,plain,
% 1.48/1.21 (![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)))))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[85])).
% 1.48/1.21 tff(87,plain,
% 1.48/1.21 (^[X89: $i, X90: $i] : rewrite(((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(88,plain,
% 1.48/1.21 (![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)))))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[87])).
% 1.48/1.21 tff(89,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(90,plain,
% 1.48/1.21 (^[X89: $i, X90: $i] : rewrite((occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(91,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[90])).
% 1.48/1.21 tff(92,axiom,(![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_29')).
% 1.48/1.21 tff(93,plain,
% 1.48/1.21 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[92, 91])).
% 1.48/1.21 tff(94,plain,
% 1.48/1.21 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[93, 89])).
% 1.48/1.21 tff(95,plain,(
% 1.48/1.21 ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 1.48/1.21 inference(skolemize,[status(sab)],[94])).
% 1.48/1.21 tff(96,plain,
% 1.48/1.21 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[95, 88])).
% 1.48/1.21 tff(97,plain,
% 1.48/1.21 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[96, 86])).
% 1.48/1.21 tff(98,plain,
% 1.48/1.21 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X105!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X105!17)))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X105!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X105!17)))))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(99,plain,
% 1.48/1.21 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X105!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X105!17)))))),
% 1.48/1.21 inference(quant_inst,[status(thm)],[])).
% 1.48/1.21 tff(100,plain,
% 1.48/1.21 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X105!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X105!17))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[99, 98])).
% 1.48/1.21 tff(101,plain,
% 1.48/1.21 (~((~activity(tptp0)) | (~activity_occurrence(X105!17)))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[100, 97, 45])).
% 1.48/1.21 tff(102,plain,
% 1.48/1.21 (((~activity(tptp0)) | (~activity_occurrence(X105!17))) | activity_occurrence(X105!17)),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(103,plain,
% 1.48/1.21 (activity_occurrence(X105!17)),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[102, 101])).
% 1.48/1.21 tff(104,plain,
% 1.48/1.21 (^[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)))))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(105,plain,
% 1.48/1.21 (![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))))))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[104])).
% 1.48/1.21 tff(106,plain,
% 1.48/1.21 (^[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)))))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(107,plain,
% 1.48/1.21 (![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))))))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[106])).
% 1.48/1.21 tff(108,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(109,plain,
% 1.48/1.21 (^[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))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(110,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[109])).
% 1.48/1.21 tff(111,axiom,(![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_18')).
% 1.48/1.21 tff(112,plain,
% 1.48/1.21 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[111, 110])).
% 1.48/1.21 tff(113,plain,
% 1.48/1.21 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[112, 108])).
% 1.48/1.21 tff(114,plain,(
% 1.48/1.21 ![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52))))),
% 1.48/1.21 inference(skolemize,[status(sab)],[113])).
% 1.48/1.21 tff(115,plain,
% 1.48/1.21 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[114, 107])).
% 1.48/1.21 tff(116,plain,
% 1.48/1.21 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[115, 105])).
% 1.48/1.21 tff(117,plain,
% 1.48/1.21 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X105!17)) | (~((~activity(tptp_fun_X53_6(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X105!17)) | (~((~activity(tptp_fun_X53_6(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(118,plain,
% 1.48/1.21 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X105!17)) | (~((~activity(tptp_fun_X53_6(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))))),
% 1.48/1.21 inference(quant_inst,[status(thm)],[])).
% 1.48/1.21 tff(119,plain,
% 1.48/1.21 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X105!17)) | (~((~activity(tptp_fun_X53_6(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17)))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[118, 117])).
% 1.48/1.21 tff(120,plain,
% 1.48/1.21 (~((~activity(tptp_fun_X53_6(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[119, 116, 103])).
% 1.48/1.21 tff(121,plain,
% 1.48/1.21 (((~activity(tptp_fun_X53_6(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17)))) | occurrence_of(X105!17, tptp_fun_X53_6(X105!17))),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(122,plain,
% 1.48/1.21 (occurrence_of(X105!17, tptp_fun_X53_6(X105!17))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[121, 120])).
% 1.48/1.21 tff(123,plain,
% 1.48/1.21 (^[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))))))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(124,plain,
% 1.48/1.21 (![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)))))))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[123])).
% 1.48/1.21 tff(125,plain,
% 1.48/1.21 (^[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))))))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(126,plain,
% 1.48/1.21 (![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)))))))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[125])).
% 1.48/1.21 tff(127,plain,
% 1.48/1.21 (![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)))))))),
% 1.48/1.21 inference(transitivity,[status(thm)],[126, 124])).
% 1.48/1.21 tff(128,plain,
% 1.48/1.21 (^[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)))))))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(129,plain,
% 1.48/1.21 (![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)))))))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[128])).
% 1.48/1.21 tff(130,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(131,plain,
% 1.48/1.21 (^[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))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(132,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[131])).
% 1.48/1.21 tff(133,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')).
% 1.48/1.21 tff(134,plain,
% 1.48/1.21 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[133, 132])).
% 1.48/1.21 tff(135,plain,
% 1.48/1.21 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[134, 130])).
% 1.48/1.21 tff(136,plain,(
% 1.48/1.21 ![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)))))),
% 1.48/1.21 inference(skolemize,[status(sab)],[135])).
% 1.48/1.21 tff(137,plain,
% 1.48/1.21 (![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)))))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[136, 129])).
% 1.48/1.21 tff(138,plain,
% 1.48/1.21 (![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)))))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[137, 127])).
% 1.48/1.21 tff(139,plain,
% 1.48/1.21 (((~![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(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, X37)) | (~leaf(tptp_fun_X97_14(X105!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(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, X37)) | (~leaf(tptp_fun_X97_14(X105!17), X37))))))))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(140,plain,
% 1.48/1.21 ((~((~((~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~occurrence_of(X105!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~leaf(tptp_fun_X97_14(X105!17), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, X37)) | (~leaf(tptp_fun_X97_14(X105!17), X37)))))))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(141,plain,
% 1.48/1.21 (((~![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(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~occurrence_of(X105!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~leaf(tptp_fun_X97_14(X105!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(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, X37)) | (~leaf(tptp_fun_X97_14(X105!17), X37))))))))),
% 1.48/1.21 inference(monotonicity,[status(thm)],[140])).
% 1.48/1.21 tff(142,plain,
% 1.48/1.21 (((~![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(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~occurrence_of(X105!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~leaf(tptp_fun_X97_14(X105!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(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, X37)) | (~leaf(tptp_fun_X97_14(X105!17), X37))))))))),
% 1.48/1.21 inference(transitivity,[status(thm)],[141, 139])).
% 1.48/1.21 tff(143,plain,
% 1.48/1.21 ((~![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(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~occurrence_of(X105!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~leaf(tptp_fun_X97_14(X105!17), X37)))))))),
% 1.48/1.21 inference(quant_inst,[status(thm)],[])).
% 1.48/1.21 tff(144,plain,
% 1.48/1.21 ((~![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(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, X37)) | (~leaf(tptp_fun_X97_14(X105!17), X37)))))))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[143, 142])).
% 1.48/1.21 tff(145,plain,
% 1.48/1.21 (~((~((~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, X37)) | (~leaf(tptp_fun_X97_14(X105!17), X37))))))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[144, 138])).
% 1.48/1.21 tff(146,plain,
% 1.48/1.21 (((~((~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X105!17), X105!17) | ![X37: $i] : ((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, X37)) | (~leaf(tptp_fun_X97_14(X105!17), X37)))))) | ((~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(147,plain,
% 1.48/1.21 ((~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[146, 145])).
% 1.48/1.21 tff(148,plain,
% 1.48/1.21 (((~occurrence_of(tptp_fun_X96_15(X105!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X105!17), X105!17)) | (~occurrence_of(tptp_fun_X97_14(X105!17), tptp3)) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~next_subocc(tptp_fun_X96_15(X105!17), tptp_fun_X97_14(X105!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X105!17), X105!17)),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(149,plain,
% 1.48/1.21 (leaf_occ(tptp_fun_X97_14(X105!17), X105!17)),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[148, 62])).
% 1.48/1.21 tff(150,plain,
% 1.48/1.21 ((~((~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))))),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(151,plain,
% 1.48/1.21 ((~((~leaf_occ(tptp_fun_X97_14(X105!17), X105!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[150, 149])).
% 1.48/1.21 tff(152,plain,
% 1.48/1.21 (~((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[151, 147])).
% 1.48/1.21 tff(153,plain,
% 1.48/1.21 (((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))) | occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.21 inference(tautology,[status(thm)],[])).
% 1.48/1.21 tff(154,plain,
% 1.48/1.21 (occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.21 inference(unit_resolution,[status(thm)],[153, 152])).
% 1.48/1.21 tff(155,plain,
% 1.48/1.21 (^[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))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(156,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[155])).
% 1.48/1.21 tff(157,plain,
% 1.48/1.21 (^[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)))))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(158,plain,
% 1.48/1.21 (![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)))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[157])).
% 1.48/1.21 tff(159,plain,
% 1.48/1.21 (![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))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(160,plain,
% 1.48/1.21 (^[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)))),
% 1.48/1.21 inference(bind,[status(th)],[])).
% 1.48/1.21 tff(161,plain,
% 1.48/1.21 (![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))),
% 1.48/1.21 inference(quant_intro,[status(thm)],[160])).
% 1.48/1.21 tff(162,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')).
% 1.48/1.21 tff(163,plain,
% 1.48/1.21 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[162, 161])).
% 1.48/1.21 tff(164,plain,
% 1.48/1.21 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[163, 159])).
% 1.48/1.21 tff(165,plain,(
% 1.48/1.21 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 1.48/1.21 inference(skolemize,[status(sab)],[164])).
% 1.48/1.21 tff(166,plain,
% 1.48/1.21 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[165, 158])).
% 1.48/1.21 tff(167,plain,
% 1.48/1.21 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 1.48/1.21 inference(modus_ponens,[status(thm)],[166, 156])).
% 1.48/1.21 tff(168,plain,
% 1.48/1.21 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(169,plain,
% 1.48/1.21 (((tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17)))) <=> ((~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))),
% 1.48/1.21 inference(rewrite,[status(thm)],[])).
% 1.48/1.21 tff(170,plain,
% 1.48/1.21 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))),
% 1.48/1.21 inference(monotonicity,[status(thm)],[169])).
% 1.48/1.21 tff(171,plain,
% 1.48/1.21 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))),
% 1.48/1.21 inference(transitivity,[status(thm)],[170, 168])).
% 1.48/1.22 tff(172,plain,
% 1.48/1.22 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))),
% 1.48/1.22 inference(quant_inst,[status(thm)],[])).
% 1.48/1.22 tff(173,plain,
% 1.48/1.22 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[172, 171])).
% 1.48/1.22 tff(174,plain,
% 1.48/1.22 (tptp_fun_X53_6(X105!17) = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[173, 167, 154, 122])).
% 1.48/1.22 tff(175,plain,
% 1.48/1.22 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp0))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(176,plain,
% 1.48/1.22 (((tptp_fun_X53_6(X105!17) = tptp0) | (~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17)))) <=> ((~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp0))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(177,plain,
% 1.48/1.22 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X105!17) = tptp0) | (~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp0)))),
% 1.48/1.22 inference(monotonicity,[status(thm)],[176])).
% 1.48/1.22 tff(178,plain,
% 1.48/1.22 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X105!17) = tptp0) | (~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp0))),
% 1.48/1.22 inference(transitivity,[status(thm)],[177, 175])).
% 1.48/1.22 tff(179,plain,
% 1.48/1.22 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X105!17) = tptp0) | (~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))))),
% 1.48/1.22 inference(quant_inst,[status(thm)],[])).
% 1.48/1.22 tff(180,plain,
% 1.48/1.22 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X105!17, tptp0)) | (~occurrence_of(X105!17, tptp_fun_X53_6(X105!17))) | (tptp_fun_X53_6(X105!17) = tptp0)),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[179, 178])).
% 1.48/1.22 tff(181,plain,
% 1.48/1.22 (tptp_fun_X53_6(X105!17) = tptp0),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[180, 167, 45, 122])).
% 1.48/1.22 tff(182,plain,
% 1.48/1.22 (tptp0 = tptp_fun_X53_6(X105!17)),
% 1.48/1.22 inference(symmetry,[status(thm)],[181])).
% 1.48/1.22 tff(183,plain,
% 1.48/1.22 (tptp0 = tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))),
% 1.48/1.22 inference(transitivity,[status(thm)],[182, 174])).
% 1.48/1.22 tff(184,plain,
% 1.48/1.22 (occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) <=> occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(monotonicity,[status(thm)],[183])).
% 1.48/1.22 tff(185,plain,
% 1.48/1.22 (occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) <=> occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)),
% 1.48/1.22 inference(symmetry,[status(thm)],[184])).
% 1.48/1.22 tff(186,plain,
% 1.48/1.22 (^[X40: $i, X41: $i] : refl(((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(187,plain,
% 1.48/1.22 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[186])).
% 1.48/1.22 tff(188,plain,
% 1.48/1.22 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(189,plain,
% 1.48/1.22 (^[X40: $i, X41: $i] : rewrite((occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(190,plain,
% 1.48/1.22 (![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41))) <=> ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[189])).
% 1.48/1.22 tff(191,axiom,(![X40: $i, X41: $i] : (occurrence_of(X40, X41) => (arboreal(X40) <=> atomic(X41)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 1.48/1.22 tff(192,plain,
% 1.48/1.22 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[191, 190])).
% 1.48/1.22 tff(193,plain,
% 1.48/1.22 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[192, 188])).
% 1.48/1.22 tff(194,plain,(
% 1.48/1.22 ![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.48/1.22 inference(skolemize,[status(sab)],[193])).
% 1.48/1.22 tff(195,plain,
% 1.48/1.22 (![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[194, 187])).
% 1.48/1.22 tff(196,plain,
% 1.48/1.22 (((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (arboreal(X105!17) <=> atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))) <=> ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (arboreal(X105!17) <=> atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(197,plain,
% 1.48/1.22 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (arboreal(X105!17) <=> atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))))),
% 1.48/1.22 inference(quant_inst,[status(thm)],[])).
% 1.48/1.22 tff(198,plain,
% 1.48/1.22 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (arboreal(X105!17) <=> atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[197, 196])).
% 1.48/1.22 tff(199,plain,
% 1.48/1.22 (arboreal(X105!17) <=> atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[198, 195, 154])).
% 1.48/1.22 tff(200,plain,
% 1.48/1.22 (((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(X105!17, tptp0)) | (arboreal(X105!17) <=> atomic(tptp0)))) <=> ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(X105!17, tptp0)) | (arboreal(X105!17) <=> atomic(tptp0)))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(201,plain,
% 1.48/1.22 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | ((~occurrence_of(X105!17, tptp0)) | (arboreal(X105!17) <=> atomic(tptp0)))),
% 1.48/1.22 inference(quant_inst,[status(thm)],[])).
% 1.48/1.22 tff(202,plain,
% 1.48/1.22 ((~![X40: $i, X41: $i] : ((~occurrence_of(X40, X41)) | (arboreal(X40) <=> atomic(X41)))) | (~occurrence_of(X105!17, tptp0)) | (arboreal(X105!17) <=> atomic(tptp0))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[201, 200])).
% 1.48/1.22 tff(203,plain,
% 1.48/1.22 (arboreal(X105!17) <=> atomic(tptp0)),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[202, 195, 45])).
% 1.48/1.22 tff(204,plain,
% 1.48/1.22 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(205,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 1.48/1.22 tff(206,plain,
% 1.48/1.22 (~atomic(tptp0)),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[205, 204])).
% 1.48/1.22 tff(207,plain,
% 1.48/1.22 ((~(arboreal(X105!17) <=> atomic(tptp0))) | (~arboreal(X105!17)) | atomic(tptp0)),
% 1.48/1.22 inference(tautology,[status(thm)],[])).
% 1.48/1.22 tff(208,plain,
% 1.48/1.22 ((~(arboreal(X105!17) <=> atomic(tptp0))) | (~arboreal(X105!17))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[207, 206])).
% 1.48/1.22 tff(209,plain,
% 1.48/1.22 (~arboreal(X105!17)),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[208, 203])).
% 1.48/1.22 tff(210,plain,
% 1.48/1.22 ((~(arboreal(X105!17) <=> atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))) | arboreal(X105!17) | (~atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))),
% 1.48/1.22 inference(tautology,[status(thm)],[])).
% 1.48/1.22 tff(211,plain,
% 1.48/1.22 ((~(arboreal(X105!17) <=> atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))) | (~atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[210, 209])).
% 1.48/1.22 tff(212,plain,
% 1.48/1.22 (~atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[211, 199])).
% 1.48/1.22 tff(213,plain,
% 1.48/1.22 (((~subactivity_occurrence(tptp_fun_X97_14(X105!17), X105!17)) | (~occurrence_of(X105!17, tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))))) | leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(tautology,[status(thm)],[])).
% 1.48/1.22 tff(214,plain,
% 1.48/1.22 (leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[213, 152])).
% 1.48/1.22 tff(215,plain,
% 1.48/1.22 (^[X67: $i, X68: $i] : refl((atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67)))))) <=> (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67)))))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(216,plain,
% 1.48/1.22 (![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67)))))) <=> ![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[215])).
% 1.48/1.22 tff(217,plain,
% 1.48/1.22 (^[X67: $i, X68: $i] : trans(monotonicity(trans(monotonicity(rewrite((leaf(X67, X68) & (~atomic(X68))) <=> (~(atomic(X68) | (~leaf(X67, X68))))), ((~(leaf(X67, X68) & (~atomic(X68)))) <=> (~(~(atomic(X68) | (~leaf(X67, X68))))))), rewrite((~(~(atomic(X68) | (~leaf(X67, X68))))) <=> (atomic(X68) | (~leaf(X67, X68)))), ((~(leaf(X67, X68) & (~atomic(X68)))) <=> (atomic(X68) | (~leaf(X67, X68))))), rewrite((occurrence_of(tptp_fun_X69_7(X68, X67), X68) & leaf_occ(X67, tptp_fun_X69_7(X68, X67))) <=> (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67)))))), (((~(leaf(X67, X68) & (~atomic(X68)))) | (occurrence_of(tptp_fun_X69_7(X68, X67), X68) & leaf_occ(X67, tptp_fun_X69_7(X68, X67)))) <=> ((atomic(X68) | (~leaf(X67, X68))) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67)))))))), rewrite(((atomic(X68) | (~leaf(X67, X68))) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67)))))) <=> (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))), (((~(leaf(X67, X68) & (~atomic(X68)))) | (occurrence_of(tptp_fun_X69_7(X68, X67), X68) & leaf_occ(X67, tptp_fun_X69_7(X68, X67)))) <=> (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(218,plain,
% 1.48/1.22 (![X67: $i, X68: $i] : ((~(leaf(X67, X68) & (~atomic(X68)))) | (occurrence_of(tptp_fun_X69_7(X68, X67), X68) & leaf_occ(X67, tptp_fun_X69_7(X68, X67)))) <=> ![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[217])).
% 1.48/1.22 tff(219,plain,
% 1.48/1.22 (![X67: $i, X68: $i] : ((~(leaf(X67, X68) & (~atomic(X68)))) | ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69))) <=> ![X67: $i, X68: $i] : ((~(leaf(X67, X68) & (~atomic(X68)))) | ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69)))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(220,plain,
% 1.48/1.22 (^[X67: $i, X68: $i] : rewrite(((leaf(X67, X68) & (~atomic(X68))) => ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69))) <=> ((~(leaf(X67, X68) & (~atomic(X68)))) | ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(221,plain,
% 1.48/1.22 (![X67: $i, X68: $i] : ((leaf(X67, X68) & (~atomic(X68))) => ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69))) <=> ![X67: $i, X68: $i] : ((~(leaf(X67, X68) & (~atomic(X68)))) | ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69)))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[220])).
% 1.48/1.22 tff(222,axiom,(![X67: $i, X68: $i] : ((leaf(X67, X68) & (~atomic(X68))) => ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_23')).
% 1.48/1.22 tff(223,plain,
% 1.48/1.22 (![X67: $i, X68: $i] : ((~(leaf(X67, X68) & (~atomic(X68)))) | ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69)))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[222, 221])).
% 1.48/1.22 tff(224,plain,
% 1.48/1.22 (![X67: $i, X68: $i] : ((~(leaf(X67, X68) & (~atomic(X68)))) | ?[X69: $i] : (occurrence_of(X69, X68) & leaf_occ(X67, X69)))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[223, 219])).
% 1.48/1.22 tff(225,plain,(
% 1.48/1.22 ![X67: $i, X68: $i] : ((~(leaf(X67, X68) & (~atomic(X68)))) | (occurrence_of(tptp_fun_X69_7(X68, X67), X68) & leaf_occ(X67, tptp_fun_X69_7(X68, X67))))),
% 1.48/1.22 inference(skolemize,[status(sab)],[224])).
% 1.48/1.22 tff(226,plain,
% 1.48/1.22 (![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[225, 218])).
% 1.48/1.22 tff(227,plain,
% 1.48/1.22 (![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[226, 216])).
% 1.48/1.22 tff(228,plain,
% 1.48/1.22 (((~![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))) | (atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))))) <=> ((~![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))) | atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(229,plain,
% 1.48/1.22 ((~![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))) | (atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))))),
% 1.48/1.22 inference(quant_inst,[status(thm)],[])).
% 1.48/1.22 tff(230,plain,
% 1.48/1.22 ((~![X67: $i, X68: $i] : (atomic(X68) | (~leaf(X67, X68)) | (~((~occurrence_of(tptp_fun_X69_7(X68, X67), X68)) | (~leaf_occ(X67, tptp_fun_X69_7(X68, X67))))))) | atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~leaf(tptp_fun_X97_14(X105!17), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[229, 228])).
% 1.48/1.22 tff(231,plain,
% 1.48/1.22 (atomic(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17))) | (~((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[230, 227, 214])).
% 1.48/1.22 tff(232,plain,
% 1.48/1.22 (~((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[231, 212])).
% 1.48/1.22 tff(233,plain,
% 1.48/1.22 (((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))) | occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(tautology,[status(thm)],[])).
% 1.48/1.22 tff(234,plain,
% 1.48/1.22 (occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[233, 232])).
% 1.48/1.22 tff(235,plain,
% 1.48/1.22 (occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[234, 185])).
% 1.48/1.22 tff(236,plain,
% 1.48/1.22 (^[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))))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(237,plain,
% 1.48/1.22 (![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)))))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[236])).
% 1.48/1.22 tff(238,plain,
% 1.48/1.22 (^[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)))))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(239,plain,
% 1.48/1.22 (![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)))))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[238])).
% 1.48/1.22 tff(240,plain,
% 1.48/1.22 (![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)))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(241,plain,
% 1.48/1.22 (^[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))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(242,plain,
% 1.48/1.22 (![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)))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[241])).
% 1.48/1.22 tff(243,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')).
% 1.48/1.22 tff(244,plain,
% 1.48/1.22 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[243, 242])).
% 1.48/1.22 tff(245,plain,
% 1.48/1.22 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[244, 240])).
% 1.48/1.22 tff(246,plain,(
% 1.48/1.22 ![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)))),
% 1.48/1.22 inference(skolemize,[status(sab)],[245])).
% 1.48/1.22 tff(247,plain,
% 1.48/1.22 (![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)))))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[246, 239])).
% 1.48/1.22 tff(248,plain,
% 1.48/1.22 (![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)))))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[247, 237])).
% 1.48/1.22 tff(249,plain,
% 1.48/1.22 (((~![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_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(250,plain,
% 1.48/1.22 ((~![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_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))))),
% 1.48/1.22 inference(quant_inst,[status(thm)],[])).
% 1.48/1.22 tff(251,plain,
% 1.48/1.22 ((~![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_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[250, 249])).
% 1.48/1.22 tff(252,plain,
% 1.48/1.22 ((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[251, 248, 206])).
% 1.48/1.22 tff(253,plain,
% 1.48/1.22 (~((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[252, 235])).
% 1.48/1.22 tff(254,plain,
% 1.48/1.22 (((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))) | root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)),
% 1.48/1.22 inference(tautology,[status(thm)],[])).
% 1.48/1.22 tff(255,plain,
% 1.48/1.22 (root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[254, 253])).
% 1.48/1.22 tff(256,plain,
% 1.48/1.22 ($false),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[255, 84])).
% 1.48/1.22 tff(257,plain,(~(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17))), inference(lemma,lemma(discharge,[]))).
% 1.48/1.22 tff(258,assumption,(leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))), introduced(assumption)).
% 1.48/1.22 tff(259,plain,
% 1.48/1.22 (((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))) | leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(tautology,[status(thm)],[])).
% 1.48/1.22 tff(260,plain,
% 1.48/1.22 (leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))),
% 1.48/1.22 inference(unit_resolution,[status(thm)],[259, 232])).
% 1.48/1.22 tff(261,plain,
% 1.48/1.22 (^[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))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(262,plain,
% 1.48/1.22 (![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)))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[261])).
% 1.48/1.22 tff(263,plain,
% 1.48/1.22 (^[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)))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(264,plain,
% 1.48/1.22 (![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)))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[263])).
% 1.48/1.22 tff(265,plain,
% 1.48/1.22 (![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))),
% 1.48/1.22 inference(rewrite,[status(thm)],[])).
% 1.48/1.22 tff(266,plain,
% 1.48/1.22 (^[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))))),
% 1.48/1.22 inference(bind,[status(th)],[])).
% 1.48/1.22 tff(267,plain,
% 1.48/1.22 (![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))),
% 1.48/1.22 inference(quant_intro,[status(thm)],[266])).
% 1.48/1.22 tff(268,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')).
% 1.48/1.22 tff(269,plain,
% 1.48/1.22 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[268, 267])).
% 1.48/1.22 tff(270,plain,
% 1.48/1.22 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 1.48/1.22 inference(modus_ponens,[status(thm)],[269, 265])).
% 1.48/1.22 tff(271,plain,(
% 1.48/1.22 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 1.53/1.22 inference(skolemize,[status(sab)],[270])).
% 1.53/1.22 tff(272,plain,
% 1.53/1.22 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 1.53/1.22 inference(modus_ponens,[status(thm)],[271, 264])).
% 1.53/1.22 tff(273,plain,
% 1.53/1.22 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 1.53/1.22 inference(modus_ponens,[status(thm)],[272, 262])).
% 1.53/1.22 tff(274,plain,
% 1.53/1.22 (((~![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) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)))),
% 1.53/1.22 inference(rewrite,[status(thm)],[])).
% 1.53/1.22 tff(275,plain,
% 1.53/1.22 (((tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)) | atomic(tptp0) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))) <=> (atomic(tptp0) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)))),
% 1.53/1.22 inference(rewrite,[status(thm)],[])).
% 1.53/1.22 tff(276,plain,
% 1.53/1.22 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)) | atomic(tptp0) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17))))),
% 1.53/1.23 inference(monotonicity,[status(thm)],[275])).
% 1.53/1.23 tff(277,plain,
% 1.53/1.23 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)) | atomic(tptp0) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)))),
% 1.53/1.23 inference(transitivity,[status(thm)],[276, 274])).
% 1.53/1.23 tff(278,plain,
% 1.53/1.23 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17)) | atomic(tptp0) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))))),
% 1.53/1.23 inference(quant_inst,[status(thm)],[])).
% 1.53/1.23 tff(279,plain,
% 1.53/1.23 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~leaf_occ(tptp_fun_X97_14(X105!17), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0) = tptp_fun_X97_14(X105!17))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[278, 277])).
% 1.53/1.23 tff(280,plain,
% 1.53/1.23 ($false),
% 1.53/1.23 inference(unit_resolution,[status(thm)],[279, 273, 206, 260, 235, 258, 257])).
% 1.53/1.23 tff(281,plain,(~leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.23 tff(282,plain,
% 1.53/1.23 (^[X38: $i, X39: $i] : refl(((~root(X38, X39)) | legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 1.53/1.23 inference(bind,[status(th)],[])).
% 1.53/1.23 tff(283,plain,
% 1.53/1.23 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.53/1.23 inference(quant_intro,[status(thm)],[282])).
% 1.53/1.23 tff(284,plain,
% 1.53/1.23 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.53/1.23 inference(rewrite,[status(thm)],[])).
% 1.53/1.23 tff(285,plain,
% 1.53/1.23 (^[X38: $i, X39: $i] : rewrite((root(X38, X39) => legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 1.53/1.23 inference(bind,[status(th)],[])).
% 1.53/1.23 tff(286,plain,
% 1.53/1.23 (![X38: $i, X39: $i] : (root(X38, X39) => legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.53/1.23 inference(quant_intro,[status(thm)],[285])).
% 1.53/1.23 tff(287,axiom,(![X38: $i, X39: $i] : (root(X38, X39) => legal(X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_12')).
% 1.53/1.23 tff(288,plain,
% 1.53/1.23 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[287, 286])).
% 1.53/1.23 tff(289,plain,
% 1.53/1.23 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[288, 284])).
% 1.53/1.23 tff(290,plain,(
% 1.53/1.23 ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.53/1.23 inference(skolemize,[status(sab)],[289])).
% 1.53/1.23 tff(291,plain,
% 1.53/1.23 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[290, 283])).
% 1.53/1.23 tff(292,plain,
% 1.53/1.23 (((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))) <=> ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))),
% 1.53/1.23 inference(rewrite,[status(thm)],[])).
% 1.53/1.23 tff(293,plain,
% 1.53/1.23 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))),
% 1.53/1.23 inference(quant_inst,[status(thm)],[])).
% 1.53/1.23 tff(294,plain,
% 1.53/1.23 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[293, 292])).
% 1.53/1.23 tff(295,plain,
% 1.53/1.23 (legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))),
% 1.53/1.23 inference(unit_resolution,[status(thm)],[294, 291, 255])).
% 1.53/1.23 tff(296,plain,
% 1.53/1.23 (^[X51: $i] : refl((arboreal(X51) | (~legal(X51))) <=> (arboreal(X51) | (~legal(X51))))),
% 1.53/1.23 inference(bind,[status(th)],[])).
% 1.53/1.23 tff(297,plain,
% 1.53/1.23 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.53/1.23 inference(quant_intro,[status(thm)],[296])).
% 1.53/1.23 tff(298,plain,
% 1.53/1.23 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.53/1.23 inference(rewrite,[status(thm)],[])).
% 1.53/1.23 tff(299,plain,
% 1.53/1.23 (^[X51: $i] : rewrite((legal(X51) => arboreal(X51)) <=> (arboreal(X51) | (~legal(X51))))),
% 1.53/1.23 inference(bind,[status(th)],[])).
% 1.53/1.23 tff(300,plain,
% 1.53/1.23 (![X51: $i] : (legal(X51) => arboreal(X51)) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.53/1.23 inference(quant_intro,[status(thm)],[299])).
% 1.53/1.23 tff(301,axiom,(![X51: $i] : (legal(X51) => arboreal(X51))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_17')).
% 1.53/1.23 tff(302,plain,
% 1.53/1.23 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[301, 300])).
% 1.53/1.23 tff(303,plain,
% 1.53/1.23 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[302, 298])).
% 1.53/1.23 tff(304,plain,(
% 1.53/1.23 ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.53/1.23 inference(skolemize,[status(sab)],[303])).
% 1.53/1.23 tff(305,plain,
% 1.53/1.23 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[304, 297])).
% 1.53/1.23 tff(306,plain,
% 1.53/1.23 (((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))))) <=> ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))))),
% 1.53/1.23 inference(rewrite,[status(thm)],[])).
% 1.53/1.23 tff(307,plain,
% 1.53/1.23 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))))),
% 1.53/1.23 inference(quant_inst,[status(thm)],[])).
% 1.53/1.23 tff(308,plain,
% 1.53/1.23 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~legal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[307, 306])).
% 1.53/1.23 tff(309,plain,
% 1.53/1.23 (arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))),
% 1.53/1.23 inference(unit_resolution,[status(thm)],[308, 305, 295])).
% 1.53/1.23 tff(310,plain,
% 1.53/1.23 (((~root(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))),
% 1.53/1.23 inference(tautology,[status(thm)],[])).
% 1.53/1.23 tff(311,plain,
% 1.53/1.23 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))),
% 1.53/1.23 inference(unit_resolution,[status(thm)],[310, 253])).
% 1.53/1.23 tff(312,plain,
% 1.53/1.23 (^[X102: $i, X103: $i] : refl((leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))))),
% 1.53/1.23 inference(bind,[status(th)],[])).
% 1.53/1.23 tff(313,plain,
% 1.53/1.23 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))) <=> ![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))),
% 1.53/1.23 inference(quant_intro,[status(thm)],[312])).
% 1.53/1.23 tff(314,plain,
% 1.53/1.23 (^[X102: $i, X103: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103))) <=> (~(leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))))), ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) <=> (~(~(leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))))))), rewrite((~(~(leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)))), ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))))), rewrite((occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0)) <=> (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))), (((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | (occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0))) <=> ((leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))))), rewrite(((leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102))) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0))))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))), (((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | (occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0))) <=> (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))))),
% 1.53/1.23 inference(bind,[status(th)],[])).
% 1.53/1.23 tff(315,plain,
% 1.53/1.23 (![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | (occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0))) <=> ![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))),
% 1.53/1.23 inference(quant_intro,[status(thm)],[314])).
% 1.53/1.23 tff(316,plain,
% 1.53/1.23 (![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))),
% 1.53/1.23 inference(rewrite,[status(thm)],[])).
% 1.53/1.23 tff(317,plain,
% 1.53/1.23 (^[X102: $i, X103: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) <=> (occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102))), ((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) <=> ((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102)) & (~leaf_occ(X102, X103))))), rewrite(((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102)) & (~leaf_occ(X102, X103))) <=> (occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))), ((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) <=> (occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103))))), (((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))))), rewrite(((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))), (((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))))),
% 1.53/1.23 inference(bind,[status(th)],[])).
% 1.53/1.23 tff(318,plain,
% 1.53/1.23 (![X102: $i, X103: $i] : ((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0))) <=> ![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))),
% 1.53/1.23 inference(quant_intro,[status(thm)],[317])).
% 1.53/1.23 tff(319,axiom,(![X102: $i, X103: $i] : ((((occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103)) & arboreal(X102)) & (~leaf_occ(X102, X103))) => ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_47')).
% 1.53/1.23 tff(320,plain,
% 1.53/1.23 (![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[319, 318])).
% 1.53/1.23 tff(321,plain,
% 1.53/1.23 (![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | ?[X104: $i] : (occurrence_of(X104, tptp1) & next_subocc(X102, X104, tptp0)))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[320, 316])).
% 1.53/1.23 tff(322,plain,(
% 1.53/1.23 ![X102: $i, X103: $i] : ((~(occurrence_of(X103, tptp0) & subactivity_occurrence(X102, X103) & arboreal(X102) & (~leaf_occ(X102, X103)))) | (occurrence_of(tptp_fun_X104_16(X102), tptp1) & next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))),
% 1.53/1.23 inference(skolemize,[status(sab)],[321])).
% 1.53/1.23 tff(323,plain,
% 1.53/1.23 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[322, 315])).
% 1.53/1.23 tff(324,plain,
% 1.53/1.23 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[323, 313])).
% 1.53/1.23 tff(325,plain,
% 1.53/1.23 (((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | ((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) <=> ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))),
% 1.53/1.23 inference(rewrite,[status(thm)],[])).
% 1.53/1.23 tff(326,plain,
% 1.53/1.23 ((leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))),
% 1.53/1.23 inference(rewrite,[status(thm)],[])).
% 1.53/1.23 tff(327,plain,
% 1.53/1.23 (((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) <=> ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | ((~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))))),
% 1.53/1.23 inference(monotonicity,[status(thm)],[326])).
% 1.53/1.23 tff(328,plain,
% 1.53/1.23 (((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))) <=> ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))),
% 1.53/1.23 inference(transitivity,[status(thm)],[327, 325])).
% 1.53/1.23 tff(329,plain,
% 1.53/1.23 ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))),
% 1.53/1.23 inference(quant_inst,[status(thm)],[])).
% 1.53/1.23 tff(330,plain,
% 1.53/1.23 ((~![X102: $i, X103: $i] : (leaf_occ(X102, X103) | (~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp0)) | (~arboreal(X102)) | (~((~occurrence_of(tptp_fun_X104_16(X102), tptp1)) | (~next_subocc(X102, tptp_fun_X104_16(X102), tptp0)))))) | (~occurrence_of(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)))) | leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))),
% 1.53/1.23 inference(modus_ponens,[status(thm)],[329, 328])).
% 1.53/1.23 tff(331,plain,
% 1.53/1.23 (leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))),
% 1.53/1.23 inference(unit_resolution,[status(thm)],[330, 324, 235, 311])).
% 1.53/1.23 tff(332,plain,
% 1.53/1.23 (leaf_occ(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17))) | (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))),
% 1.53/1.23 inference(unit_resolution,[status(thm)],[331, 309])).
% 1.53/1.23 tff(333,plain,
% 1.53/1.23 (~((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))),
% 1.53/1.23 inference(unit_resolution,[status(thm)],[332, 281])).
% 1.53/1.23 tff(334,plain,
% 1.53/1.23 (((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))) | next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)),
% 1.53/1.24 inference(tautology,[status(thm)],[])).
% 1.53/1.24 tff(335,plain,
% 1.53/1.24 (next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)),
% 1.53/1.24 inference(unit_resolution,[status(thm)],[334, 333])).
% 1.53/1.24 tff(336,plain,
% 1.53/1.24 ((~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))))) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))))),
% 1.53/1.24 inference(tautology,[status(thm)],[])).
% 1.53/1.24 tff(337,plain,
% 1.53/1.24 ((~((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))))) | (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))))),
% 1.53/1.24 inference(unit_resolution,[status(thm)],[336, 335])).
% 1.53/1.24 tff(338,plain,
% 1.53/1.24 (~((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))))),
% 1.53/1.24 inference(unit_resolution,[status(thm)],[337, 28])).
% 1.53/1.24 tff(339,plain,
% 1.53/1.24 (((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))))) | min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)),
% 1.53/1.24 inference(tautology,[status(thm)],[])).
% 1.53/1.24 tff(340,plain,
% 1.53/1.24 (min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)),
% 1.53/1.24 inference(unit_resolution,[status(thm)],[339, 338])).
% 1.53/1.24 tff(341,plain,
% 1.53/1.24 (^[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)))))))),
% 1.53/1.24 inference(bind,[status(th)],[])).
% 1.53/1.24 tff(342,plain,
% 1.53/1.24 (![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))))))),
% 1.53/1.24 inference(quant_intro,[status(thm)],[341])).
% 1.53/1.24 tff(343,plain,
% 1.53/1.24 (^[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)))))))),
% 1.53/1.24 inference(bind,[status(th)],[])).
% 1.53/1.24 tff(344,plain,
% 1.53/1.24 (![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))))))),
% 1.53/1.24 inference(quant_intro,[status(thm)],[343])).
% 1.53/1.24 tff(345,plain,
% 1.53/1.24 (![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)))),
% 1.53/1.24 inference(rewrite,[status(thm)],[])).
% 1.53/1.24 tff(346,plain,
% 1.53/1.24 (^[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)))))),
% 1.53/1.24 inference(bind,[status(th)],[])).
% 1.53/1.24 tff(347,plain,
% 1.53/1.24 (![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)))),
% 1.53/1.24 inference(quant_intro,[status(thm)],[346])).
% 1.53/1.24 tff(348,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')).
% 1.53/1.24 tff(349,plain,
% 1.53/1.24 (![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)))),
% 1.53/1.24 inference(modus_ponens,[status(thm)],[348, 347])).
% 1.53/1.24 tff(350,plain,
% 1.53/1.24 (![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)))),
% 1.53/1.24 inference(modus_ponens,[status(thm)],[349, 345])).
% 1.53/1.24 tff(351,plain,(
% 1.53/1.24 ![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))))),
% 1.53/1.24 inference(skolemize,[status(sab)],[350])).
% 1.53/1.24 tff(352,plain,
% 1.53/1.24 (![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))))))),
% 1.53/1.24 inference(modus_ponens,[status(thm)],[351, 344])).
% 1.53/1.24 tff(353,plain,
% 1.53/1.24 (![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))))))),
% 1.53/1.24 inference(modus_ponens,[status(thm)],[352, 342])).
% 1.53/1.24 tff(354,plain,
% 1.53/1.24 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))),
% 1.53/1.24 inference(rewrite,[status(thm)],[])).
% 1.53/1.24 tff(355,plain,
% 1.53/1.24 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))),
% 1.53/1.24 inference(quant_inst,[status(thm)],[])).
% 1.53/1.24 tff(356,plain,
% 1.53/1.24 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.53/1.24 inference(modus_ponens,[status(thm)],[355, 354])).
% 1.53/1.24 tff(357,plain,
% 1.53/1.24 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.53/1.24 inference(unit_resolution,[status(thm)],[356, 353, 340])).
% 1.53/1.24 tff(358,plain,
% 1.53/1.24 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)),
% 1.53/1.24 inference(tautology,[status(thm)],[])).
% 1.53/1.24 tff(359,plain,
% 1.53/1.24 (occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)),
% 1.53/1.24 inference(unit_resolution,[status(thm)],[358, 357])).
% 1.53/1.24 tff(360,plain,
% 1.53/1.24 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))),
% 1.55/1.24 inference(rewrite,[status(thm)],[])).
% 1.55/1.24 tff(361,plain,
% 1.55/1.24 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))),
% 1.55/1.24 inference(quant_inst,[status(thm)],[])).
% 1.55/1.24 tff(362,plain,
% 1.55/1.24 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.55/1.24 inference(modus_ponens,[status(thm)],[361, 360])).
% 1.55/1.24 tff(363,plain,
% 1.55/1.24 (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.24 inference(unit_resolution,[status(thm)],[362, 97, 359])).
% 1.55/1.24 tff(364,plain,
% 1.55/1.24 (((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | activity_occurrence(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.24 inference(tautology,[status(thm)],[])).
% 1.55/1.24 tff(365,plain,
% 1.55/1.24 (activity_occurrence(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.24 inference(unit_resolution,[status(thm)],[364, 363])).
% 1.55/1.24 tff(366,plain,
% 1.55/1.24 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), 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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))),
% 1.55/1.24 inference(rewrite,[status(thm)],[])).
% 1.55/1.24 tff(367,plain,
% 1.55/1.24 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))),
% 1.55/1.24 inference(quant_inst,[status(thm)],[])).
% 1.55/1.24 tff(368,plain,
% 1.55/1.24 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))),
% 1.55/1.24 inference(modus_ponens,[status(thm)],[367, 366])).
% 1.55/1.24 tff(369,plain,
% 1.55/1.24 (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.55/1.24 inference(unit_resolution,[status(thm)],[368, 116, 365])).
% 1.55/1.24 tff(370,plain,
% 1.55/1.24 (((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))),
% 1.55/1.24 inference(tautology,[status(thm)],[])).
% 1.55/1.24 tff(371,plain,
% 1.55/1.24 (occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))),
% 1.55/1.24 inference(unit_resolution,[status(thm)],[370, 369])).
% 1.55/1.24 tff(372,plain,
% 1.55/1.24 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), 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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0))),
% 1.55/1.24 inference(rewrite,[status(thm)],[])).
% 1.55/1.24 tff(373,plain,
% 1.55/1.24 (((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0))),
% 1.55/1.25 inference(rewrite,[status(thm)],[])).
% 1.55/1.25 tff(374,plain,
% 1.55/1.25 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0)))),
% 1.55/1.25 inference(monotonicity,[status(thm)],[373])).
% 1.55/1.25 tff(375,plain,
% 1.55/1.25 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0))),
% 1.55/1.25 inference(transitivity,[status(thm)],[374, 372])).
% 1.55/1.25 tff(376,plain,
% 1.55/1.25 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.55/1.25 inference(quant_inst,[status(thm)],[])).
% 1.55/1.25 tff(377,plain,
% 1.55/1.25 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0)),
% 1.55/1.25 inference(modus_ponens,[status(thm)],[376, 375])).
% 1.55/1.25 tff(378,plain,
% 1.55/1.25 (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp0),
% 1.55/1.25 inference(unit_resolution,[status(thm)],[377, 167, 359, 371])).
% 1.55/1.25 tff(379,plain,
% 1.55/1.25 (^[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))))))))),
% 1.55/1.25 inference(bind,[status(th)],[])).
% 1.55/1.25 tff(380,plain,
% 1.55/1.25 (![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)))))))),
% 1.55/1.25 inference(quant_intro,[status(thm)],[379])).
% 1.55/1.25 tff(381,plain,
% 1.55/1.25 (^[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))))))))),
% 1.55/1.25 inference(bind,[status(th)],[])).
% 1.55/1.25 tff(382,plain,
% 1.55/1.25 (![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)))))))),
% 1.55/1.25 inference(quant_intro,[status(thm)],[381])).
% 1.55/1.25 tff(383,plain,
% 1.55/1.25 (![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)))))))),
% 1.55/1.25 inference(transitivity,[status(thm)],[382, 380])).
% 1.55/1.25 tff(384,plain,
% 1.55/1.25 (^[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)))))))))),
% 1.55/1.25 inference(bind,[status(th)],[])).
% 1.55/1.25 tff(385,plain,
% 1.55/1.25 (![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)))))))),
% 1.55/1.25 inference(quant_intro,[status(thm)],[384])).
% 1.55/1.25 tff(386,plain,
% 1.55/1.25 (![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)))),
% 1.55/1.25 inference(rewrite,[status(thm)],[])).
% 1.55/1.25 tff(387,plain,
% 1.55/1.25 (^[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))))),
% 1.55/1.25 inference(bind,[status(th)],[])).
% 1.55/1.25 tff(388,plain,
% 1.55/1.25 (![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)))),
% 1.55/1.25 inference(quant_intro,[status(thm)],[387])).
% 1.55/1.25 tff(389,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')).
% 1.55/1.25 tff(390,plain,
% 1.55/1.25 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 1.55/1.25 inference(modus_ponens,[status(thm)],[389, 388])).
% 1.55/1.25 tff(391,plain,
% 1.55/1.25 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 1.55/1.25 inference(modus_ponens,[status(thm)],[390, 386])).
% 1.55/1.25 tff(392,plain,(
% 1.55/1.25 ![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)))))),
% 1.55/1.25 inference(skolemize,[status(sab)],[391])).
% 1.55/1.25 tff(393,plain,
% 1.55/1.25 (![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)))))))),
% 1.55/1.25 inference(modus_ponens,[status(thm)],[392, 385])).
% 1.55/1.25 tff(394,plain,
% 1.55/1.25 (![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)))))))),
% 1.55/1.25 inference(modus_ponens,[status(thm)],[393, 383])).
% 1.55/1.25 tff(395,plain,
% 1.55/1.25 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))))),
% 1.55/1.25 inference(rewrite,[status(thm)],[])).
% 1.55/1.25 tff(396,plain,
% 1.55/1.25 ((~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34))))))) <=> (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))),
% 1.55/1.26 inference(rewrite,[status(thm)],[])).
% 1.55/1.26 tff(397,plain,
% 1.55/1.26 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))))),
% 1.55/1.26 inference(monotonicity,[status(thm)],[396])).
% 1.55/1.26 tff(398,plain,
% 1.55/1.26 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))))),
% 1.55/1.26 inference(transitivity,[status(thm)],[397, 395])).
% 1.55/1.26 tff(399,plain,
% 1.55/1.26 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)))))))),
% 1.55/1.26 inference(quant_inst,[status(thm)],[])).
% 1.55/1.26 tff(400,plain,
% 1.55/1.26 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))),
% 1.55/1.26 inference(modus_ponens,[status(thm)],[399, 398])).
% 1.55/1.26 tff(401,plain,
% 1.55/1.26 (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))),
% 1.55/1.27 inference(unit_resolution,[status(thm)],[400, 394])).
% 1.55/1.27 tff(402,plain,
% 1.55/1.27 (((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), X34)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))) | ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))),
% 1.55/1.27 inference(tautology,[status(thm)],[])).
% 1.55/1.27 tff(403,plain,
% 1.55/1.27 ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))),
% 1.55/1.27 inference(unit_resolution,[status(thm)],[402, 401])).
% 1.55/1.27 tff(404,plain,
% 1.55/1.27 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0)))))),
% 1.55/1.27 inference(rewrite,[status(thm)],[])).
% 1.55/1.27 tff(405,plain,
% 1.55/1.27 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0)))))),
% 1.55/1.27 inference(rewrite,[status(thm)],[])).
% 1.55/1.27 tff(406,plain,
% 1.55/1.27 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0))))))),
% 1.55/1.27 inference(monotonicity,[status(thm)],[405])).
% 1.55/1.27 tff(407,plain,
% 1.55/1.27 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0)))))),
% 1.55/1.28 inference(transitivity,[status(thm)],[406, 404])).
% 1.55/1.28 tff(408,plain,
% 1.55/1.28 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0)))))),
% 1.55/1.28 inference(quant_inst,[status(thm)],[])).
% 1.55/1.28 tff(409,plain,
% 1.55/1.28 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0))))),
% 1.55/1.28 inference(modus_ponens,[status(thm)],[408, 407])).
% 1.55/1.28 tff(410,plain,
% 1.55/1.28 (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0)))),
% 1.55/1.28 inference(unit_resolution,[status(thm)],[409, 58, 359])).
% 1.55/1.28 tff(411,plain,
% 1.55/1.28 (((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.28 inference(tautology,[status(thm)],[])).
% 1.55/1.28 tff(412,plain,
% 1.55/1.28 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.28 inference(unit_resolution,[status(thm)],[411, 410])).
% 1.55/1.28 tff(413,plain,
% 1.55/1.28 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))),
% 1.55/1.28 inference(tautology,[status(thm)],[])).
% 1.55/1.28 tff(414,plain,
% 1.55/1.28 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))))),
% 1.55/1.28 inference(unit_resolution,[status(thm)],[413, 412])).
% 1.55/1.28 tff(415,plain,
% 1.55/1.28 (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))),
% 1.55/1.28 inference(unit_resolution,[status(thm)],[414, 403])).
% 1.55/1.28 tff(416,plain,
% 1.55/1.28 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.28 inference(tautology,[status(thm)],[])).
% 1.55/1.28 tff(417,plain,
% 1.55/1.28 (occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.28 inference(unit_resolution,[status(thm)],[416, 415])).
% 1.55/1.28 tff(418,plain,
% 1.55/1.28 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.55/1.29 inference(rewrite,[status(thm)],[])).
% 1.55/1.29 tff(419,plain,
% 1.55/1.29 (((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.55/1.29 inference(rewrite,[status(thm)],[])).
% 1.55/1.29 tff(420,plain,
% 1.55/1.29 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))))),
% 1.55/1.29 inference(monotonicity,[status(thm)],[419])).
% 1.55/1.29 tff(421,plain,
% 1.55/1.29 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.55/1.29 inference(transitivity,[status(thm)],[420, 418])).
% 1.55/1.29 tff(422,plain,
% 1.55/1.29 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.55/1.29 inference(quant_inst,[status(thm)],[])).
% 1.55/1.29 tff(423,plain,
% 1.55/1.29 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.29 inference(modus_ponens,[status(thm)],[422, 421])).
% 1.55/1.29 tff(424,plain,
% 1.55/1.29 (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))),
% 1.55/1.29 inference(unit_resolution,[status(thm)],[423, 167, 417, 371])).
% 1.55/1.29 tff(425,plain,
% 1.55/1.29 (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) = tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.29 inference(symmetry,[status(thm)],[424])).
% 1.55/1.29 tff(426,plain,
% 1.55/1.29 (tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) = tptp0),
% 1.55/1.29 inference(transitivity,[status(thm)],[425, 378])).
% 1.55/1.29 tff(427,assumption,(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))), introduced(assumption)).
% 1.55/1.29 tff(428,plain,
% 1.55/1.29 (occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3) <=> occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)),
% 1.55/1.29 inference(monotonicity,[status(thm)],[427])).
% 1.55/1.29 tff(429,plain,
% 1.55/1.29 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3) <=> occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)),
% 1.55/1.29 inference(symmetry,[status(thm)],[428])).
% 1.55/1.29 tff(430,plain,
% 1.55/1.29 (((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)),
% 1.55/1.29 inference(tautology,[status(thm)],[])).
% 1.55/1.29 tff(431,plain,
% 1.55/1.29 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)),
% 1.55/1.29 inference(unit_resolution,[status(thm)],[430, 410])).
% 1.55/1.29 tff(432,plain,
% 1.55/1.29 (occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)),
% 1.55/1.29 inference(modus_ponens,[status(thm)],[431, 429])).
% 1.55/1.29 tff(433,plain,
% 1.55/1.29 (((~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))) | occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)),
% 1.55/1.29 inference(tautology,[status(thm)],[])).
% 1.55/1.29 tff(434,plain,
% 1.55/1.29 (occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)),
% 1.55/1.29 inference(unit_resolution,[status(thm)],[433, 333])).
% 1.55/1.29 tff(435,plain,
% 1.55/1.29 ((~(tptp1 = tptp3)) <=> (~(tptp1 = tptp3))),
% 1.55/1.29 inference(rewrite,[status(thm)],[])).
% 1.55/1.29 tff(436,axiom,(~(tptp1 = tptp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_42')).
% 1.55/1.29 tff(437,plain,
% 1.55/1.29 (~(tptp1 = tptp3)),
% 1.55/1.29 inference(modus_ponens,[status(thm)],[436, 435])).
% 1.55/1.29 tff(438,plain,
% 1.55/1.29 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)))),
% 1.55/1.29 inference(rewrite,[status(thm)],[])).
% 1.55/1.29 tff(439,plain,
% 1.55/1.29 (((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1))) <=> ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)))),
% 1.55/1.29 inference(rewrite,[status(thm)],[])).
% 1.55/1.29 tff(440,plain,
% 1.55/1.29 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3))))),
% 1.55/1.29 inference(monotonicity,[status(thm)],[439])).
% 1.55/1.29 tff(441,plain,
% 1.55/1.29 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)))),
% 1.55/1.30 inference(transitivity,[status(thm)],[440, 438])).
% 1.55/1.30 tff(442,plain,
% 1.55/1.30 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)))),
% 1.55/1.30 inference(quant_inst,[status(thm)],[])).
% 1.55/1.30 tff(443,plain,
% 1.55/1.30 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp1)) | (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3))),
% 1.55/1.30 inference(modus_ponens,[status(thm)],[442, 441])).
% 1.55/1.30 tff(444,plain,
% 1.55/1.30 (~occurrence_of(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp3)),
% 1.55/1.30 inference(unit_resolution,[status(thm)],[443, 167, 437, 434])).
% 1.55/1.30 tff(445,plain,
% 1.55/1.30 ($false),
% 1.55/1.30 inference(unit_resolution,[status(thm)],[444, 432])).
% 1.55/1.30 tff(446,plain,(~(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 1.55/1.30 tff(447,assumption,(leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))), introduced(assumption)).
% 1.55/1.30 tff(448,plain,
% 1.55/1.30 (((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp4)) | (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp3)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.30 inference(tautology,[status(thm)],[])).
% 1.55/1.30 tff(449,plain,
% 1.55/1.30 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.30 inference(unit_resolution,[status(thm)],[448, 410])).
% 1.55/1.30 tff(450,plain,
% 1.55/1.30 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.30 inference(rewrite,[status(thm)],[])).
% 1.55/1.30 tff(451,plain,
% 1.55/1.30 (((tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.30 inference(rewrite,[status(thm)],[])).
% 1.55/1.30 tff(452,plain,
% 1.55/1.30 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.55/1.30 inference(monotonicity,[status(thm)],[451])).
% 1.55/1.30 tff(453,plain,
% 1.55/1.30 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.30 inference(transitivity,[status(thm)],[452, 450])).
% 1.55/1.30 tff(454,plain,
% 1.55/1.30 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.30 inference(quant_inst,[status(thm)],[])).
% 1.55/1.30 tff(455,plain,
% 1.55/1.30 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))),
% 1.55/1.30 inference(modus_ponens,[status(thm)],[454, 453])).
% 1.55/1.30 tff(456,plain,
% 1.55/1.30 ($false),
% 1.55/1.30 inference(unit_resolution,[status(thm)],[455, 273, 206, 359, 449, 447, 446])).
% 1.55/1.30 tff(457,plain,(~leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))), inference(lemma,lemma(discharge,[]))).
% 1.55/1.30 tff(458,plain,
% 1.55/1.30 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) | subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.30 inference(tautology,[status(thm)],[])).
% 1.55/1.30 tff(459,plain,
% 1.55/1.30 (subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.30 inference(unit_resolution,[status(thm)],[458, 357])).
% 1.55/1.30 tff(460,plain,
% 1.55/1.30 (^[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))))))),
% 1.55/1.30 inference(bind,[status(th)],[])).
% 1.55/1.30 tff(461,plain,
% 1.55/1.30 (![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)))))),
% 1.55/1.30 inference(quant_intro,[status(thm)],[460])).
% 1.55/1.30 tff(462,plain,
% 1.55/1.30 (^[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))))))),
% 1.55/1.30 inference(bind,[status(th)],[])).
% 1.55/1.30 tff(463,plain,
% 1.55/1.30 (![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)))))),
% 1.55/1.30 inference(quant_intro,[status(thm)],[462])).
% 1.55/1.30 tff(464,plain,
% 1.55/1.30 (![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)))),
% 1.55/1.30 inference(rewrite,[status(thm)],[])).
% 1.55/1.30 tff(465,plain,
% 1.55/1.30 (^[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))))),
% 1.55/1.30 inference(bind,[status(th)],[])).
% 1.55/1.30 tff(466,plain,
% 1.55/1.30 (![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)))),
% 1.55/1.30 inference(quant_intro,[status(thm)],[465])).
% 1.55/1.30 tff(467,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')).
% 1.55/1.30 tff(468,plain,
% 1.55/1.30 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 1.55/1.30 inference(modus_ponens,[status(thm)],[467, 466])).
% 1.55/1.30 tff(469,plain,
% 1.55/1.30 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 1.55/1.30 inference(modus_ponens,[status(thm)],[468, 464])).
% 1.55/1.30 tff(470,plain,(
% 1.55/1.30 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 1.55/1.30 inference(skolemize,[status(sab)],[469])).
% 1.55/1.30 tff(471,plain,
% 1.55/1.30 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 1.55/1.30 inference(modus_ponens,[status(thm)],[470, 463])).
% 1.55/1.30 tff(472,plain,
% 1.55/1.30 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 1.55/1.30 inference(modus_ponens,[status(thm)],[471, 461])).
% 1.55/1.30 tff(473,plain,
% 1.55/1.30 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))))))),
% 1.55/1.30 inference(rewrite,[status(thm)],[])).
% 1.55/1.30 tff(474,plain,
% 1.55/1.30 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))))))),
% 1.55/1.31 inference(quant_inst,[status(thm)],[])).
% 1.55/1.31 tff(475,plain,
% 1.55/1.31 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))))))),
% 1.55/1.31 inference(modus_ponens,[status(thm)],[474, 473])).
% 1.55/1.31 tff(476,plain,
% 1.55/1.31 (~((~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))))),
% 1.55/1.31 inference(unit_resolution,[status(thm)],[475, 472, 335])).
% 1.55/1.31 tff(477,plain,
% 1.55/1.31 (((~arboreal(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))))) | arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))),
% 1.55/1.31 inference(tautology,[status(thm)],[])).
% 1.55/1.31 tff(478,plain,
% 1.55/1.31 (arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))),
% 1.55/1.31 inference(unit_resolution,[status(thm)],[477, 476])).
% 1.55/1.31 tff(479,plain,
% 1.55/1.31 (^[X100: $i, X101: $i] : refl((leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) <=> (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))),
% 1.55/1.31 inference(bind,[status(th)],[])).
% 1.55/1.31 tff(480,plain,
% 1.55/1.31 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) <=> ![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))),
% 1.55/1.31 inference(quant_intro,[status(thm)],[479])).
% 1.55/1.31 tff(481,plain,
% 1.55/1.31 (^[X100: $i, X101: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) <=> (~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))), ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) <=> (~(~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))))), rewrite((~(~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))), ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))), (((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101)) <=> ((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) | root_occ(X100, X101)))), rewrite(((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) | root_occ(X100, X101)) <=> (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))), (((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101)) <=> (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))))),
% 1.55/1.31 inference(bind,[status(th)],[])).
% 1.55/1.31 tff(482,plain,
% 1.55/1.31 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101)) <=> ![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))),
% 1.55/1.31 inference(quant_intro,[status(thm)],[481])).
% 1.55/1.31 tff(483,plain,
% 1.55/1.31 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101)) <=> ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.55/1.31 inference(rewrite,[status(thm)],[])).
% 1.55/1.31 tff(484,plain,
% 1.55/1.31 (^[X100: $i, X101: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100))), ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> ((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100)) & (~leaf_occ(X100, X101))))), rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))), ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))))), (((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)) <=> ((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)))), rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)) <=> ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))), (((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)) <=> ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))))),
% 1.55/1.31 inference(bind,[status(th)],[])).
% 1.55/1.31 tff(485,plain,
% 1.55/1.31 (![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => root_occ(X100, X101)) <=> ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.55/1.31 inference(quant_intro,[status(thm)],[484])).
% 1.55/1.31 tff(486,axiom,(![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => root_occ(X100, X101))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_46')).
% 1.55/1.31 tff(487,plain,
% 1.55/1.31 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.55/1.31 inference(modus_ponens,[status(thm)],[486, 485])).
% 1.55/1.31 tff(488,plain,
% 1.55/1.31 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.55/1.31 inference(modus_ponens,[status(thm)],[487, 483])).
% 1.55/1.31 tff(489,plain,(
% 1.55/1.31 ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | root_occ(X100, X101))),
% 1.55/1.31 inference(skolemize,[status(sab)],[488])).
% 1.55/1.31 tff(490,plain,
% 1.55/1.31 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))),
% 1.55/1.31 inference(modus_ponens,[status(thm)],[489, 482])).
% 1.55/1.31 tff(491,plain,
% 1.55/1.31 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))),
% 1.55/1.31 inference(modus_ponens,[status(thm)],[490, 480])).
% 1.55/1.31 tff(492,plain,
% 1.55/1.31 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))),
% 1.55/1.31 inference(rewrite,[status(thm)],[])).
% 1.55/1.31 tff(493,plain,
% 1.55/1.31 ((leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))),
% 1.55/1.31 inference(rewrite,[status(thm)],[])).
% 1.55/1.31 tff(494,plain,
% 1.55/1.31 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.55/1.31 inference(monotonicity,[status(thm)],[493])).
% 1.55/1.31 tff(495,plain,
% 1.55/1.31 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))),
% 1.55/1.31 inference(transitivity,[status(thm)],[494, 492])).
% 1.55/1.31 tff(496,plain,
% 1.55/1.31 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))))),
% 1.55/1.31 inference(quant_inst,[status(thm)],[])).
% 1.55/1.31 tff(497,plain,
% 1.55/1.31 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | root_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)))) | (~subactivity_occurrence(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.31 inference(modus_ponens,[status(thm)],[496, 495])).
% 1.55/1.31 tff(498,plain,
% 1.55/1.31 (leaf_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) | root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.31 inference(unit_resolution,[status(thm)],[497, 491, 478, 359, 459])).
% 1.55/1.31 tff(499,plain,
% 1.55/1.31 (root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.55/1.31 inference(unit_resolution,[status(thm)],[498, 457])).
% 1.55/1.31 tff(500,plain,
% 1.55/1.31 (^[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))))),
% 1.55/1.31 inference(bind,[status(th)],[])).
% 1.55/1.31 tff(501,plain,
% 1.55/1.31 (![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)))),
% 1.55/1.31 inference(quant_intro,[status(thm)],[500])).
% 1.55/1.31 tff(502,plain,
% 1.55/1.31 (^[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)))))),
% 1.55/1.31 inference(bind,[status(th)],[])).
% 1.55/1.31 tff(503,plain,
% 1.55/1.31 (![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)))),
% 1.55/1.31 inference(quant_intro,[status(thm)],[502])).
% 1.55/1.31 tff(504,plain,
% 1.55/1.31 (![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))),
% 1.55/1.31 inference(rewrite,[status(thm)],[])).
% 1.55/1.31 tff(505,plain,
% 1.55/1.31 (^[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))))),
% 1.62/1.31 inference(bind,[status(th)],[])).
% 1.62/1.31 tff(506,plain,
% 1.62/1.31 (![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))),
% 1.62/1.31 inference(quant_intro,[status(thm)],[505])).
% 1.62/1.31 tff(507,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')).
% 1.62/1.31 tff(508,plain,
% 1.62/1.31 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 1.62/1.31 inference(modus_ponens,[status(thm)],[507, 506])).
% 1.62/1.31 tff(509,plain,
% 1.62/1.31 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 1.62/1.31 inference(modus_ponens,[status(thm)],[508, 504])).
% 1.62/1.31 tff(510,plain,(
% 1.62/1.31 ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 1.62/1.31 inference(skolemize,[status(sab)],[509])).
% 1.62/1.31 tff(511,plain,
% 1.62/1.31 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 1.62/1.31 inference(modus_ponens,[status(thm)],[510, 503])).
% 1.62/1.31 tff(512,plain,
% 1.62/1.31 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 1.62/1.31 inference(modus_ponens,[status(thm)],[511, 501])).
% 1.62/1.31 tff(513,plain,
% 1.62/1.31 (((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.62/1.31 inference(rewrite,[status(thm)],[])).
% 1.62/1.31 tff(514,plain,
% 1.62/1.31 (((tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.62/1.32 inference(rewrite,[status(thm)],[])).
% 1.62/1.32 tff(515,plain,
% 1.62/1.32 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.62/1.32 inference(monotonicity,[status(thm)],[514])).
% 1.62/1.32 tff(516,plain,
% 1.62/1.32 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.62/1.32 inference(transitivity,[status(thm)],[515, 513])).
% 1.62/1.32 tff(517,plain,
% 1.62/1.32 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.62/1.32 inference(quant_inst,[status(thm)],[])).
% 1.62/1.32 tff(518,plain,
% 1.62/1.32 ((~![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_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~root_occ(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))),
% 1.62/1.32 inference(modus_ponens,[status(thm)],[517, 516])).
% 1.62/1.32 tff(519,plain,
% 1.62/1.32 (tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))),
% 1.62/1.32 inference(unit_resolution,[status(thm)],[518, 512, 359, 412, 499])).
% 1.62/1.32 tff(520,plain,
% 1.62/1.32 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)) = tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0))),
% 1.62/1.32 inference(symmetry,[status(thm)],[519])).
% 1.62/1.32 tff(521,plain,
% 1.62/1.32 (root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))) <=> root(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)),
% 1.62/1.32 inference(monotonicity,[status(thm)],[520, 426])).
% 1.62/1.32 tff(522,plain,
% 1.62/1.32 (root(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0) <=> root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.62/1.32 inference(symmetry,[status(thm)],[521])).
% 1.62/1.32 tff(523,plain,
% 1.62/1.32 ((~root(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) <=> (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))),
% 1.62/1.32 inference(monotonicity,[status(thm)],[522])).
% 1.62/1.32 tff(524,plain,
% 1.62/1.32 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))),
% 1.62/1.32 inference(rewrite,[status(thm)],[])).
% 1.62/1.32 tff(525,plain,
% 1.62/1.32 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)))),
% 1.62/1.32 inference(quant_inst,[status(thm)],[])).
% 1.62/1.32 tff(526,plain,
% 1.62/1.32 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0))),
% 1.62/1.32 inference(modus_ponens,[status(thm)],[525, 524])).
% 1.62/1.32 tff(527,plain,
% 1.62/1.32 (~root(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp0)),
% 1.62/1.32 inference(unit_resolution,[status(thm)],[526, 79, 340])).
% 1.62/1.32 tff(528,plain,
% 1.62/1.32 (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.62/1.32 inference(modus_ponens,[status(thm)],[527, 523])).
% 1.62/1.32 tff(529,plain,
% 1.62/1.32 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)))))) | root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.62/1.32 inference(tautology,[status(thm)],[])).
% 1.62/1.32 tff(530,plain,
% 1.62/1.32 (root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X104_16(tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0)), tptp_fun_X93_13(tptp_fun_X69_7(tptp_fun_X37_2(X105!17, tptp_fun_X97_14(X105!17)), tptp_fun_X97_14(X105!17)), tptp0), tptp0))))),
% 1.62/1.33 inference(unit_resolution,[status(thm)],[529, 415])).
% 1.62/1.33 tff(531,plain,
% 1.62/1.33 ($false),
% 1.62/1.33 inference(unit_resolution,[status(thm)],[530, 528])).
% 1.62/1.33 % SZS output end Proof
%------------------------------------------------------------------------------