TSTP Solution File: PRO002+3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PRO002+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 13:52:17 EDT 2022
% Result : Theorem 153.92s 98.84s
% Output : Proof 154.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO002+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 17:48:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 153.92/98.84 % SZS status Theorem
% 153.92/98.84 % SZS output start Proof
% 153.92/98.84 tff(min_precedes_type, type, (
% 153.92/98.84 min_precedes: ( $i * $i * $i ) > $o)).
% 153.92/98.84 tff(tptp_fun_X3_0_type, type, (
% 153.92/98.84 tptp_fun_X3_0: $i > $i)).
% 153.92/98.84 tff(tptp_fun_X75_10_type, type, (
% 153.92/98.84 tptp_fun_X75_10: ( $i * $i ) > $i)).
% 153.92/98.84 tff(tptp0_type, type, (
% 153.92/98.84 tptp0: $i)).
% 153.92/98.84 tff(tptp_fun_X194_23_type, type, (
% 153.92/98.84 tptp_fun_X194_23: $i)).
% 153.92/98.84 tff(tptp_fun_X163_16_type, type, (
% 153.92/98.84 tptp_fun_X163_16: $i > $i)).
% 153.92/98.84 tff(tptp_fun_X72_9_type, type, (
% 153.92/98.84 tptp_fun_X72_9: ( $i * $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X162_17_type, type, (
% 153.92/98.84 tptp_fun_X162_17: $i > $i)).
% 153.92/98.84 tff(tptp_fun_X101_13_type, type, (
% 153.92/98.84 tptp_fun_X101_13: ( $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X78_11_type, type, (
% 153.92/98.84 tptp_fun_X78_11: ( $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X195_22_type, type, (
% 153.92/98.84 tptp_fun_X195_22: $i)).
% 153.92/98.84 tff(tptp_fun_X193_24_type, type, (
% 153.92/98.84 tptp_fun_X193_24: $i)).
% 153.92/98.84 tff(root_occ_type, type, (
% 153.92/98.84 root_occ: ( $i * $i ) > $o)).
% 153.92/98.84 tff(occurrence_of_type, type, (
% 153.92/98.84 occurrence_of: ( $i * $i ) > $o)).
% 153.92/98.84 tff(tptp4_type, type, (
% 153.92/98.84 tptp4: $i)).
% 153.92/98.84 tff(leaf_occ_type, type, (
% 153.92/98.84 leaf_occ: ( $i * $i ) > $o)).
% 153.92/98.84 tff(next_subocc_type, type, (
% 153.92/98.84 next_subocc: ( $i * $i * $i ) > $o)).
% 153.92/98.84 tff(tptp3_type, type, (
% 153.92/98.84 tptp3: $i)).
% 153.92/98.84 tff(tptp2_type, type, (
% 153.92/98.84 tptp2: $i)).
% 153.92/98.84 tff(activity_type, type, (
% 153.92/98.84 activity: $i > $o)).
% 153.92/98.84 tff(activity_occurrence_type, type, (
% 153.92/98.84 activity_occurrence: $i > $o)).
% 153.92/98.84 tff(subactivity_occurrence_type, type, (
% 153.92/98.84 subactivity_occurrence: ( $i * $i ) > $o)).
% 153.92/98.84 tff(root_type, type, (
% 153.92/98.84 root: ( $i * $i ) > $o)).
% 153.92/98.84 tff(atomic_type, type, (
% 153.92/98.84 atomic: $i > $o)).
% 153.92/98.84 tff(tptp1_type, type, (
% 153.92/98.84 tptp1: ( $i * $i * $i ) > $o)).
% 153.92/98.84 tff(send_message_type, type, (
% 153.92/98.84 send_message: ( $i * $i * $i * $i * $i ) > $o)).
% 153.92/98.84 tff(tptp_fun_X189_19_type, type, (
% 153.92/98.84 tptp_fun_X189_19: ( $i * $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X188_20_type, type, (
% 153.92/98.84 tptp_fun_X188_20: ( $i * $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X187_21_type, type, (
% 153.92/98.84 tptp_fun_X187_21: ( $i * $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X34_4_type, type, (
% 153.92/98.84 tptp_fun_X34_4: ( $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X147_15_type, type, (
% 153.92/98.84 tptp_fun_X147_15: ( $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X104_14_type, type, (
% 153.92/98.84 tptp_fun_X104_14: ( $i * $i ) > $i)).
% 153.92/98.84 tff(leaf_type, type, (
% 153.92/98.84 leaf: ( $i * $i ) > $o)).
% 153.92/98.84 tff(arboreal_type, type, (
% 153.92/98.84 arboreal: $i > $o)).
% 153.92/98.84 tff(tptp_fun_X63_7_type, type, (
% 153.92/98.84 tptp_fun_X63_7: ( $i * $i * $i ) > $i)).
% 153.92/98.84 tff(tptp_fun_X190_18_type, type, (
% 153.92/98.84 tptp_fun_X190_18: ( $i * $i * $i ) > $i)).
% 153.92/98.84 tff(legal_type, type, (
% 153.92/98.84 legal: $i > $o)).
% 153.92/98.84 tff(1,plain,
% 153.92/98.84 (?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193)) <=> ?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(2,plain,
% 153.92/98.84 ((~(~?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193)))) <=> ?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(3,plain,
% 153.92/98.84 ((~?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193))) <=> (~?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193)))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(4,plain,
% 153.92/98.84 ((~(~?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193)))) <=> (~(~?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193))))),
% 153.92/98.84 inference(monotonicity,[status(thm)],[3])).
% 153.92/98.84 tff(5,plain,
% 153.92/98.84 ((~(~?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193)))) <=> ?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193))),
% 153.92/98.84 inference(transitivity,[status(thm)],[4, 2])).
% 153.92/98.84 tff(6,axiom,(~(~?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 153.92/98.84 tff(7,plain,
% 153.92/98.84 (?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[6, 5])).
% 153.92/98.84 tff(8,plain,
% 153.92/98.84 (?[X193: $i, X194: $i, X195: $i] : (tptp1(X193, tptp0, X194) & occurrence_of(X195, X193))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[7, 1])).
% 153.92/98.84 tff(9,plain,(
% 153.92/98.84 tptp1(X193!24, tptp0, X194!23) & occurrence_of(X195!22, X193!24)),
% 153.92/98.84 inference(skolemize,[status(sab)],[8])).
% 153.92/98.84 tff(10,plain,
% 153.92/98.84 (tptp1(X193!24, tptp0, X194!23)),
% 153.92/98.84 inference(and_elim,[status(thm)],[9])).
% 153.92/98.84 tff(11,plain,
% 153.92/98.84 (^[X180: $i, X181: $i, X182: $i] : refl(((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180))))) <=> ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180))))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(12,plain,
% 153.92/98.84 (![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180))))) <=> ![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[11])).
% 153.92/98.84 tff(13,plain,
% 153.92/98.84 (^[X180: $i, X181: $i, X182: $i] : rewrite(((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181))) <=> ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180))))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(14,plain,
% 153.92/98.84 (![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181))) <=> ![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[13])).
% 153.92/98.84 tff(15,plain,
% 153.92/98.84 (![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181))) <=> ![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181)))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(16,plain,
% 153.92/98.84 (^[X180: $i, X181: $i, X182: $i] : trans(monotonicity(trans(monotonicity(rewrite(((activity(X180) & (~atomic(X180))) & (~atomic(X181))) <=> (activity(X180) & (~atomic(X180)) & (~atomic(X181)))), ((((activity(X180) & (~atomic(X180))) & (~atomic(X181))) & root(X182, X181)) <=> ((activity(X180) & (~atomic(X180)) & (~atomic(X181))) & root(X182, X181)))), rewrite(((activity(X180) & (~atomic(X180)) & (~atomic(X181))) & root(X182, X181)) <=> (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181))), ((((activity(X180) & (~atomic(X180))) & (~atomic(X181))) & root(X182, X181)) <=> (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181)))), ((tptp1(X180, X181, X182) => (((activity(X180) & (~atomic(X180))) & (~atomic(X181))) & root(X182, X181))) <=> (tptp1(X180, X181, X182) => (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181))))), rewrite((tptp1(X180, X181, X182) => (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181))) <=> ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181)))), ((tptp1(X180, X181, X182) => (((activity(X180) & (~atomic(X180))) & (~atomic(X181))) & root(X182, X181))) <=> ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181)))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(17,plain,
% 153.92/98.84 (![X180: $i, X181: $i, X182: $i] : (tptp1(X180, X181, X182) => (((activity(X180) & (~atomic(X180))) & (~atomic(X181))) & root(X182, X181))) <=> ![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181)))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[16])).
% 153.92/98.84 tff(18,axiom,(![X180: $i, X181: $i, X182: $i] : (tptp1(X180, X181, X182) => (((activity(X180) & (~atomic(X180))) & (~atomic(X181))) & root(X182, X181)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_65')).
% 153.92/98.84 tff(19,plain,
% 153.92/98.84 (![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181)))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[18, 17])).
% 153.92/98.84 tff(20,plain,
% 153.92/98.84 (![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181)))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[19, 15])).
% 153.92/98.84 tff(21,plain,(
% 153.92/98.84 ![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (activity(X180) & (~atomic(X180)) & (~atomic(X181)) & root(X182, X181)))),
% 153.92/98.84 inference(skolemize,[status(sab)],[20])).
% 153.92/98.84 tff(22,plain,
% 153.92/98.84 (![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[21, 14])).
% 153.92/98.84 tff(23,plain,
% 153.92/98.84 (![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[22, 12])).
% 153.92/98.84 tff(24,plain,
% 153.92/98.84 (((~![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))) | ((~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0)))))) <=> ((~![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))) | (~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0)))))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(25,plain,
% 153.92/98.84 (((~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~root(X194!23, tptp0)) | (~activity(X193!24))))) <=> ((~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0)))))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(26,plain,
% 153.92/98.84 (((~![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))) | ((~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~root(X194!23, tptp0)) | (~activity(X193!24)))))) <=> ((~![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))) | ((~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0))))))),
% 153.92/98.84 inference(monotonicity,[status(thm)],[25])).
% 153.92/98.84 tff(27,plain,
% 153.92/98.84 (((~![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))) | ((~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~root(X194!23, tptp0)) | (~activity(X193!24)))))) <=> ((~![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))) | (~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0)))))),
% 153.92/98.84 inference(transitivity,[status(thm)],[26, 24])).
% 153.92/98.84 tff(28,plain,
% 153.92/98.84 ((~![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))) | ((~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~root(X194!23, tptp0)) | (~activity(X193!24)))))),
% 153.92/98.84 inference(quant_inst,[status(thm)],[])).
% 153.92/98.84 tff(29,plain,
% 153.92/98.84 ((~![X180: $i, X181: $i, X182: $i] : ((~tptp1(X180, X181, X182)) | (~(atomic(X181) | atomic(X180) | (~root(X182, X181)) | (~activity(X180)))))) | (~tptp1(X193!24, tptp0, X194!23)) | (~(atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[28, 27])).
% 153.92/98.84 tff(30,plain,
% 153.92/98.84 (~(atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0)))),
% 153.92/98.84 inference(unit_resolution,[status(thm)],[29, 23, 10])).
% 153.92/98.84 tff(31,plain,
% 153.92/98.84 ((atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0))) | root(X194!23, tptp0)),
% 153.92/98.84 inference(tautology,[status(thm)],[])).
% 153.92/98.84 tff(32,plain,
% 153.92/98.84 (root(X194!23, tptp0)),
% 153.92/98.84 inference(unit_resolution,[status(thm)],[31, 30])).
% 153.92/98.84 tff(33,plain,
% 153.92/98.84 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(34,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_51')).
% 153.92/98.84 tff(35,plain,
% 153.92/98.84 (~atomic(tptp0)),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[34, 33])).
% 153.92/98.84 tff(36,plain,
% 153.92/98.84 (^[X73: $i, X74: $i] : refl((atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))))) <=> (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(37,plain,
% 153.92/98.84 (![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))))) <=> ![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[36])).
% 153.92/98.84 tff(38,plain,
% 153.92/98.84 (^[X73: $i, X74: $i] : trans(monotonicity(trans(monotonicity(rewrite((root(X74, X73) & (~atomic(X73))) <=> (~(atomic(X73) | (~root(X74, X73))))), ((~(root(X74, X73) & (~atomic(X73)))) <=> (~(~(atomic(X73) | (~root(X74, X73))))))), rewrite((~(~(atomic(X73) | (~root(X74, X73))))) <=> (atomic(X73) | (~root(X74, X73)))), ((~(root(X74, X73) & (~atomic(X73)))) <=> (atomic(X73) | (~root(X74, X73))))), rewrite((occurrence_of(tptp_fun_X75_10(X74, X73), X73) & subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))) <=> (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))))), (((~(root(X74, X73) & (~atomic(X73)))) | (occurrence_of(tptp_fun_X75_10(X74, X73), X73) & subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))) <=> ((atomic(X73) | (~root(X74, X73))) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))))))), rewrite(((atomic(X73) | (~root(X74, X73))) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))))) <=> (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))), (((~(root(X74, X73) & (~atomic(X73)))) | (occurrence_of(tptp_fun_X75_10(X74, X73), X73) & subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))) <=> (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(39,plain,
% 153.92/98.84 (![X73: $i, X74: $i] : ((~(root(X74, X73) & (~atomic(X73)))) | (occurrence_of(tptp_fun_X75_10(X74, X73), X73) & subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73)))) <=> ![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[38])).
% 153.92/98.84 tff(40,plain,
% 153.92/98.84 (![X73: $i, X74: $i] : ((~(root(X74, X73) & (~atomic(X73)))) | ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75))) <=> ![X73: $i, X74: $i] : ((~(root(X74, X73) & (~atomic(X73)))) | ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75)))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(41,plain,
% 153.92/98.84 (^[X73: $i, X74: $i] : rewrite(((root(X74, X73) & (~atomic(X73))) => ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75))) <=> ((~(root(X74, X73) & (~atomic(X73)))) | ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(42,plain,
% 153.92/98.84 (![X73: $i, X74: $i] : ((root(X74, X73) & (~atomic(X73))) => ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75))) <=> ![X73: $i, X74: $i] : ((~(root(X74, X73) & (~atomic(X73)))) | ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75)))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[41])).
% 153.92/98.84 tff(43,axiom,(![X73: $i, X74: $i] : ((root(X74, X73) & (~atomic(X73))) => ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_26')).
% 153.92/98.84 tff(44,plain,
% 153.92/98.84 (![X73: $i, X74: $i] : ((~(root(X74, X73) & (~atomic(X73)))) | ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75)))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[43, 42])).
% 153.92/98.84 tff(45,plain,
% 153.92/98.84 (![X73: $i, X74: $i] : ((~(root(X74, X73) & (~atomic(X73)))) | ?[X75: $i] : (occurrence_of(X75, X73) & subactivity_occurrence(X74, X75)))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[44, 40])).
% 153.92/98.84 tff(46,plain,(
% 153.92/98.84 ![X73: $i, X74: $i] : ((~(root(X74, X73) & (~atomic(X73)))) | (occurrence_of(tptp_fun_X75_10(X74, X73), X73) & subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))),
% 153.92/98.84 inference(skolemize,[status(sab)],[45])).
% 153.92/98.84 tff(47,plain,
% 153.92/98.84 (![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[46, 39])).
% 153.92/98.84 tff(48,plain,
% 153.92/98.84 (![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[47, 37])).
% 153.92/98.84 tff(49,plain,
% 153.92/98.84 (((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(tptp0) | (~root(X194!23, tptp0)) | (~((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(tptp0) | (~root(X194!23, tptp0)) | (~((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(50,plain,
% 153.92/98.84 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(tptp0) | (~root(X194!23, tptp0)) | (~((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.84 inference(quant_inst,[status(thm)],[])).
% 153.92/98.84 tff(51,plain,
% 153.92/98.84 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(tptp0) | (~root(X194!23, tptp0)) | (~((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[50, 49])).
% 153.92/98.84 tff(52,plain,
% 153.92/98.84 (~((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.84 inference(unit_resolution,[status(thm)],[51, 48, 35, 32])).
% 153.92/98.84 tff(53,plain,
% 153.92/98.84 (((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0)))) | occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)),
% 153.92/98.84 inference(tautology,[status(thm)],[])).
% 153.92/98.84 tff(54,plain,
% 153.92/98.84 (occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)),
% 153.92/98.84 inference(unit_resolution,[status(thm)],[53, 52])).
% 153.92/98.84 tff(55,plain,
% 153.92/98.84 (^[X0: $i, X1: $i] : refl(((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1))))) <=> ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1))))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(56,plain,
% 153.92/98.84 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1))))) <=> ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[55])).
% 153.92/98.84 tff(57,plain,
% 153.92/98.84 (^[X0: $i, X1: $i] : rewrite(((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1))) <=> ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1))))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(58,plain,
% 153.92/98.84 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1))) <=> ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[57])).
% 153.92/98.84 tff(59,plain,
% 153.92/98.84 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1))) <=> ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(60,plain,
% 153.92/98.84 (^[X0: $i, X1: $i] : rewrite((occurrence_of(X1, X0) => (activity(X0) & activity_occurrence(X1))) <=> ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(61,plain,
% 153.92/98.84 (![X0: $i, X1: $i] : (occurrence_of(X1, X0) => (activity(X0) & activity_occurrence(X1))) <=> ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[60])).
% 153.92/98.84 tff(62,axiom,(![X0: $i, X1: $i] : (occurrence_of(X1, X0) => (activity(X0) & activity_occurrence(X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos')).
% 153.92/98.84 tff(63,plain,
% 153.92/98.84 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[62, 61])).
% 153.92/98.84 tff(64,plain,
% 153.92/98.84 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[63, 59])).
% 153.92/98.84 tff(65,plain,(
% 153.92/98.84 ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 153.92/98.84 inference(skolemize,[status(sab)],[64])).
% 153.92/98.84 tff(66,plain,
% 153.92/98.84 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[65, 58])).
% 153.92/98.84 tff(67,plain,
% 153.92/98.84 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[66, 56])).
% 153.92/98.84 tff(68,plain,
% 153.92/98.84 (((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(69,plain,
% 153.92/98.84 ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.84 inference(quant_inst,[status(thm)],[])).
% 153.92/98.84 tff(70,plain,
% 153.92/98.84 ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[69, 68])).
% 153.92/98.84 tff(71,plain,
% 153.92/98.84 (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.84 inference(unit_resolution,[status(thm)],[70, 67, 54])).
% 153.92/98.84 tff(72,plain,
% 153.92/98.84 (((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0)))) | activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))),
% 153.92/98.84 inference(tautology,[status(thm)],[])).
% 153.92/98.84 tff(73,plain,
% 153.92/98.84 (activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))),
% 153.92/98.84 inference(unit_resolution,[status(thm)],[72, 71])).
% 153.92/98.84 tff(74,plain,
% 153.92/98.84 (^[X2: $i] : refl(((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2)))))) <=> ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2)))))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(75,plain,
% 153.92/98.84 (![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2)))))) <=> ![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[74])).
% 153.92/98.84 tff(76,plain,
% 153.92/98.84 (^[X2: $i] : rewrite(((~activity_occurrence(X2)) | (activity(tptp_fun_X3_0(X2)) & occurrence_of(X2, tptp_fun_X3_0(X2)))) <=> ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2)))))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(77,plain,
% 153.92/98.84 (![X2: $i] : ((~activity_occurrence(X2)) | (activity(tptp_fun_X3_0(X2)) & occurrence_of(X2, tptp_fun_X3_0(X2)))) <=> ![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[76])).
% 153.92/98.84 tff(78,plain,
% 153.92/98.84 (![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3))) <=> ![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(79,plain,
% 153.92/98.84 (^[X2: $i] : rewrite((activity_occurrence(X2) => ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3))) <=> ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(80,plain,
% 153.92/98.84 (![X2: $i] : (activity_occurrence(X2) => ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3))) <=> ![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[79])).
% 153.92/98.84 tff(81,axiom,(![X2: $i] : (activity_occurrence(X2) => ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_01')).
% 153.92/98.84 tff(82,plain,
% 153.92/98.84 (![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[81, 80])).
% 153.92/98.84 tff(83,plain,
% 153.92/98.84 (![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[82, 78])).
% 153.92/98.84 tff(84,plain,(
% 153.92/98.84 ![X2: $i] : ((~activity_occurrence(X2)) | (activity(tptp_fun_X3_0(X2)) & occurrence_of(X2, tptp_fun_X3_0(X2))))),
% 153.92/98.84 inference(skolemize,[status(sab)],[83])).
% 153.92/98.84 tff(85,plain,
% 153.92/98.84 (![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[84, 77])).
% 153.92/98.84 tff(86,plain,
% 153.92/98.84 (![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[85, 75])).
% 153.92/98.84 tff(87,plain,
% 153.92/98.84 (((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) <=> ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(88,plain,
% 153.92/98.84 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.84 inference(quant_inst,[status(thm)],[])).
% 153.92/98.84 tff(89,plain,
% 153.92/98.84 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(tptp_fun_X75_10(X194!23, tptp0))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[88, 87])).
% 153.92/98.84 tff(90,plain,
% 153.92/98.84 (~((~activity(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.84 inference(unit_resolution,[status(thm)],[89, 86, 73])).
% 153.92/98.84 tff(91,plain,
% 153.92/98.84 (((~activity(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.84 inference(tautology,[status(thm)],[])).
% 153.92/98.84 tff(92,plain,
% 153.92/98.84 (occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.84 inference(unit_resolution,[status(thm)],[91, 90])).
% 153.92/98.84 tff(93,plain,
% 153.92/98.84 (^[X4: $i, X5: $i, X6: $i] : refl(((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))) <=> ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(94,plain,
% 153.92/98.84 (![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))) <=> ![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[93])).
% 153.92/98.84 tff(95,plain,
% 153.92/98.84 (^[X4: $i, X5: $i, X6: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X4, X5) & occurrence_of(X4, X6)) <=> (~((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))), ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) <=> (~(~((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))))), rewrite((~(~((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))) <=> ((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))), ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) <=> ((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))), (((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)) <=> (((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))) | (X5 = X6)))), rewrite((((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))) | (X5 = X6)) <=> ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))), (((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)) <=> ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(96,plain,
% 153.92/98.84 (![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)) <=> ![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[95])).
% 153.92/98.84 tff(97,plain,
% 153.92/98.84 (![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)) <=> ![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 153.92/98.84 inference(rewrite,[status(thm)],[])).
% 153.92/98.84 tff(98,plain,
% 153.92/98.84 (^[X4: $i, X5: $i, X6: $i] : rewrite(((occurrence_of(X4, X5) & occurrence_of(X4, X6)) => (X5 = X6)) <=> ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)))),
% 153.92/98.84 inference(bind,[status(th)],[])).
% 153.92/98.84 tff(99,plain,
% 153.92/98.84 (![X4: $i, X5: $i, X6: $i] : ((occurrence_of(X4, X5) & occurrence_of(X4, X6)) => (X5 = X6)) <=> ![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 153.92/98.84 inference(quant_intro,[status(thm)],[98])).
% 153.92/98.84 tff(100,axiom,(![X4: $i, X5: $i, X6: $i] : ((occurrence_of(X4, X5) & occurrence_of(X4, X6)) => (X5 = X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_02')).
% 153.92/98.84 tff(101,plain,
% 153.92/98.84 (![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 153.92/98.84 inference(modus_ponens,[status(thm)],[100, 99])).
% 153.92/98.85 tff(102,plain,
% 153.92/98.85 (![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[101, 97])).
% 153.92/98.85 tff(103,plain,(
% 153.92/98.85 ![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 153.92/98.85 inference(skolemize,[status(sab)],[102])).
% 153.92/98.85 tff(104,plain,
% 153.92/98.85 (![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[103, 96])).
% 153.92/98.85 tff(105,plain,
% 153.92/98.85 (![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[104, 94])).
% 153.92/98.85 tff(106,plain,
% 153.92/98.85 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.85 inference(rewrite,[status(thm)],[])).
% 153.92/98.85 tff(107,plain,
% 153.92/98.85 (((tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.85 inference(rewrite,[status(thm)],[])).
% 153.92/98.85 tff(108,plain,
% 153.92/98.85 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.85 inference(monotonicity,[status(thm)],[107])).
% 153.92/98.85 tff(109,plain,
% 153.92/98.85 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.85 inference(transitivity,[status(thm)],[108, 106])).
% 153.92/98.85 tff(110,plain,
% 153.92/98.85 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.85 inference(quant_inst,[status(thm)],[])).
% 153.92/98.85 tff(111,plain,
% 153.92/98.85 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[110, 109])).
% 153.92/98.85 tff(112,plain,
% 153.92/98.85 (tptp0 = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))),
% 153.92/98.85 inference(unit_resolution,[status(thm)],[111, 105, 54, 92])).
% 153.92/98.85 tff(113,plain,
% 153.92/98.85 (occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0) <=> occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.85 inference(monotonicity,[status(thm)],[112])).
% 153.92/98.85 tff(114,plain,
% 153.92/98.85 (occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 153.92/98.85 inference(symmetry,[status(thm)],[113])).
% 153.92/98.85 tff(115,plain,
% 153.92/98.85 (^[X102: $i, X103: $i] : refl((~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))))),
% 153.92/98.85 inference(bind,[status(th)],[])).
% 153.92/98.85 tff(116,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> ![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 153.92/98.85 inference(quant_intro,[status(thm)],[115])).
% 153.92/98.85 tff(117,plain,
% 153.92/98.85 (^[X102: $i, X103: $i] : rewrite((~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))))),
% 153.92/98.85 inference(bind,[status(th)],[])).
% 153.92/98.85 tff(118,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> ![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 153.92/98.85 inference(quant_intro,[status(thm)],[117])).
% 153.92/98.85 tff(119,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> ![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 153.92/98.85 inference(transitivity,[status(thm)],[118, 116])).
% 153.92/98.85 tff(120,plain,
% 153.92/98.85 (^[X102: $i, X103: $i] : trans(monotonicity(rewrite(((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) <=> ((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))), rewrite((leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))) <=> (leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))), ((((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) & (leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))))) <=> (((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102)))))) & (leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))), rewrite((((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102)))))) & (leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))) <=> (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))), ((((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) & (leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))))) <=> (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))))),
% 153.92/98.85 inference(bind,[status(th)],[])).
% 153.92/98.85 tff(121,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) & (leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))))) <=> ![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 153.92/98.85 inference(quant_intro,[status(thm)],[120])).
% 153.92/98.85 tff(122,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))) <=> ![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))),
% 153.92/98.85 inference(rewrite,[status(thm)],[])).
% 153.92/98.85 tff(123,plain,
% 153.92/98.85 (^[X102: $i, X103: $i] : rewrite((leaf_occ(X102, X103) <=> ?[X104: $i] : ((occurrence_of(X103, X104) & subactivity_occurrence(X102, X103)) & leaf(X102, X104))) <=> (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))))),
% 153.92/98.85 inference(bind,[status(th)],[])).
% 153.92/98.85 tff(124,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : ((occurrence_of(X103, X104) & subactivity_occurrence(X102, X103)) & leaf(X102, X104))) <=> ![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))),
% 153.92/98.85 inference(quant_intro,[status(thm)],[123])).
% 153.92/98.85 tff(125,axiom,(![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : ((occurrence_of(X103, X104) & subactivity_occurrence(X102, X103)) & leaf(X102, X104)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_34')).
% 153.92/98.85 tff(126,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[125, 124])).
% 153.92/98.85 tff(127,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[126, 122])).
% 153.92/98.85 tff(128,plain,(
% 153.92/98.85 ![X102: $i, X103: $i] : (((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) & (leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))))),
% 153.92/98.85 inference(skolemize,[status(sab)],[127])).
% 153.92/98.85 tff(129,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[128, 121])).
% 153.92/98.85 tff(130,plain,
% 153.92/98.85 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[129, 119])).
% 153.92/98.85 tff(131,plain,
% 153.92/98.85 ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~(leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0)) | ![X104: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X104)) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), X104)))))))),
% 153.92/98.85 inference(quant_inst,[status(thm)],[])).
% 153.92/98.85 tff(132,plain,
% 153.92/98.85 (~((~((~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~(leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0)) | ![X104: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X104)) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), X104))))))),
% 153.92/98.85 inference(unit_resolution,[status(thm)],[131, 130])).
% 153.92/98.85 tff(133,plain,
% 153.92/98.85 (((~((~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~(leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0)) | ![X104: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X104)) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), X104)))))) | ((~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 153.92/98.85 inference(tautology,[status(thm)],[])).
% 153.92/98.85 tff(134,plain,
% 153.92/98.85 ((~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.85 inference(unit_resolution,[status(thm)],[133, 132])).
% 153.92/98.85 tff(135,plain,
% 153.92/98.85 (^[X161: $i] : refl(((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0))))) <=> ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0))))))),
% 153.92/98.85 inference(bind,[status(th)],[])).
% 153.92/98.85 tff(136,plain,
% 153.92/98.85 (![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0))))) <=> ![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))),
% 153.92/98.85 inference(quant_intro,[status(thm)],[135])).
% 153.92/98.85 tff(137,plain,
% 153.92/98.85 (^[X161: $i] : rewrite(((~occurrence_of(X161, tptp0)) | (occurrence_of(tptp_fun_X162_17(X161), tptp4) & root_occ(tptp_fun_X162_17(X161), X161) & (occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3)) & leaf_occ(tptp_fun_X163_16(X161), X161) & next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0))) <=> ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0))))))),
% 153.92/98.85 inference(bind,[status(th)],[])).
% 153.92/98.85 tff(138,plain,
% 153.92/98.85 (![X161: $i] : ((~occurrence_of(X161, tptp0)) | (occurrence_of(tptp_fun_X162_17(X161), tptp4) & root_occ(tptp_fun_X162_17(X161), X161) & (occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3)) & leaf_occ(tptp_fun_X163_16(X161), X161) & next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0))) <=> ![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))),
% 153.92/98.85 inference(quant_intro,[status(thm)],[137])).
% 153.92/98.85 tff(139,plain,
% 153.92/98.85 (![X161: $i] : ((~occurrence_of(X161, tptp0)) | ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0))) <=> ![X161: $i] : ((~occurrence_of(X161, tptp0)) | ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0)))),
% 153.92/98.85 inference(rewrite,[status(thm)],[])).
% 153.92/98.85 tff(140,plain,
% 153.92/98.85 (^[X161: $i] : trans(monotonicity(quant_intro(proof_bind(^[X162: $i, X163: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2)) <=> (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3))), (((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) <=> ((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3))))), rewrite(((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3))) <=> (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)))), (((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) <=> (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3))))), ((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) <=> ((occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3))) & leaf_occ(X163, X161)))), rewrite(((occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3))) & leaf_occ(X163, X161)) <=> (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161))), ((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) <=> (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161)))), (((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0)) <=> ((occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0)))), rewrite(((occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0)) <=> (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0))), (((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0)) <=> (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0))))), (?[X162: $i, X163: $i] : ((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0)) <=> ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0)))), ((occurrence_of(X161, tptp0) => ?[X162: $i, X163: $i] : ((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0))) <=> (occurrence_of(X161, tptp0) => ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0))))), rewrite((occurrence_of(X161, tptp0) => ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0))) <=> ((~occurrence_of(X161, tptp0)) | ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0)))), ((occurrence_of(X161, tptp0) => ?[X162: $i, X163: $i] : ((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0))) <=> ((~occurrence_of(X161, tptp0)) | ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0)))))),
% 153.92/98.85 inference(bind,[status(th)],[])).
% 153.92/98.85 tff(141,plain,
% 153.92/98.85 (![X161: $i] : (occurrence_of(X161, tptp0) => ?[X162: $i, X163: $i] : ((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0))) <=> ![X161: $i] : ((~occurrence_of(X161, tptp0)) | ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0)))),
% 153.92/98.85 inference(quant_intro,[status(thm)],[140])).
% 153.92/98.85 tff(142,axiom,(![X161: $i] : (occurrence_of(X161, tptp0) => ?[X162: $i, X163: $i] : ((((occurrence_of(X162, tptp4) & root_occ(X162, X161)) & (occurrence_of(X163, tptp3) | occurrence_of(X163, tptp2))) & leaf_occ(X163, X161)) & next_subocc(X162, X163, tptp0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_49')).
% 153.92/98.85 tff(143,plain,
% 153.92/98.85 (![X161: $i] : ((~occurrence_of(X161, tptp0)) | ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0)))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[142, 141])).
% 153.92/98.85 tff(144,plain,
% 153.92/98.85 (![X161: $i] : ((~occurrence_of(X161, tptp0)) | ?[X162: $i, X163: $i] : (occurrence_of(X162, tptp4) & root_occ(X162, X161) & (occurrence_of(X163, tptp2) | occurrence_of(X163, tptp3)) & leaf_occ(X163, X161) & next_subocc(X162, X163, tptp0)))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[143, 139])).
% 153.92/98.85 tff(145,plain,(
% 153.92/98.85 ![X161: $i] : ((~occurrence_of(X161, tptp0)) | (occurrence_of(tptp_fun_X162_17(X161), tptp4) & root_occ(tptp_fun_X162_17(X161), X161) & (occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3)) & leaf_occ(tptp_fun_X163_16(X161), X161) & next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))),
% 153.92/98.85 inference(skolemize,[status(sab)],[144])).
% 153.92/98.85 tff(146,plain,
% 153.92/98.85 (![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[145, 138])).
% 153.92/98.85 tff(147,plain,
% 153.92/98.85 (![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[146, 136])).
% 153.92/98.85 tff(148,plain,
% 153.92/98.85 (((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))) <=> ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))),
% 153.92/98.85 inference(rewrite,[status(thm)],[])).
% 153.92/98.85 tff(149,plain,
% 153.92/98.85 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))),
% 153.92/98.85 inference(quant_inst,[status(thm)],[])).
% 153.92/98.85 tff(150,plain,
% 153.92/98.85 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0))))),
% 153.92/98.85 inference(modus_ponens,[status(thm)],[149, 148])).
% 153.92/98.85 tff(151,plain,
% 153.92/98.85 (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))),
% 153.92/98.85 inference(unit_resolution,[status(thm)],[150, 147, 54])).
% 153.92/98.85 tff(152,plain,
% 153.92/98.85 (((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0))) | leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))),
% 153.92/98.85 inference(tautology,[status(thm)],[])).
% 153.92/98.85 tff(153,plain,
% 153.92/98.85 (leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))),
% 153.92/98.85 inference(unit_resolution,[status(thm)],[152, 151])).
% 153.92/98.85 tff(154,plain,
% 153.92/98.85 ((~((~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.85 inference(tautology,[status(thm)],[])).
% 153.92/98.85 tff(155,plain,
% 153.92/98.85 ((~((~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.85 inference(unit_resolution,[status(thm)],[154, 153])).
% 153.92/98.85 tff(156,plain,
% 153.92/98.85 (~((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.85 inference(unit_resolution,[status(thm)],[155, 134])).
% 153.92/98.85 tff(157,plain,
% 153.92/98.85 (((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.85 inference(tautology,[status(thm)],[])).
% 153.92/98.85 tff(158,plain,
% 153.92/98.85 (occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.85 inference(unit_resolution,[status(thm)],[157, 156])).
% 153.92/98.85 tff(159,plain,
% 153.92/98.85 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.85 inference(rewrite,[status(thm)],[])).
% 153.92/98.85 tff(160,plain,
% 153.92/98.85 (((tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.85 inference(rewrite,[status(thm)],[])).
% 153.92/98.85 tff(161,plain,
% 153.92/98.85 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.85 inference(monotonicity,[status(thm)],[160])).
% 153.92/98.85 tff(162,plain,
% 153.92/98.85 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(transitivity,[status(thm)],[161, 159])).
% 153.92/98.86 tff(163,plain,
% 153.92/98.86 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.86 inference(quant_inst,[status(thm)],[])).
% 153.92/98.86 tff(164,plain,
% 153.92/98.86 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[163, 162])).
% 153.92/98.86 tff(165,plain,
% 153.92/98.86 (tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[164, 105, 158, 92])).
% 153.92/98.86 tff(166,plain,
% 153.92/98.86 (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.86 inference(symmetry,[status(thm)],[165])).
% 153.92/98.86 tff(167,plain,
% 153.92/98.86 (occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(monotonicity,[status(thm)],[166])).
% 153.92/98.86 tff(168,plain,
% 153.92/98.86 (occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) <=> occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.86 inference(symmetry,[status(thm)],[167])).
% 153.92/98.86 tff(169,plain,
% 153.92/98.86 (^[X16: $i, X17: $i] : refl(((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))) <=> ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))))),
% 153.92/98.86 inference(bind,[status(th)],[])).
% 153.92/98.86 tff(170,plain,
% 153.92/98.86 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))) <=> ![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 153.92/98.86 inference(quant_intro,[status(thm)],[169])).
% 153.92/98.86 tff(171,plain,
% 153.92/98.86 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))) <=> ![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 153.92/98.86 inference(rewrite,[status(thm)],[])).
% 153.92/98.86 tff(172,plain,
% 153.92/98.86 (^[X16: $i, X17: $i] : rewrite((occurrence_of(X16, X17) => (arboreal(X16) <=> atomic(X17))) <=> ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))))),
% 153.92/98.86 inference(bind,[status(th)],[])).
% 153.92/98.86 tff(173,plain,
% 153.92/98.86 (![X16: $i, X17: $i] : (occurrence_of(X16, X17) => (arboreal(X16) <=> atomic(X17))) <=> ![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 153.92/98.86 inference(quant_intro,[status(thm)],[172])).
% 153.92/98.86 tff(174,axiom,(![X16: $i, X17: $i] : (occurrence_of(X16, X17) => (arboreal(X16) <=> atomic(X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_07')).
% 153.92/98.86 tff(175,plain,
% 153.92/98.86 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[174, 173])).
% 153.92/98.86 tff(176,plain,
% 153.92/98.86 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[175, 171])).
% 153.92/98.86 tff(177,plain,(
% 153.92/98.86 ![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 153.92/98.86 inference(skolemize,[status(sab)],[176])).
% 153.92/98.86 tff(178,plain,
% 153.92/98.86 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[177, 170])).
% 153.92/98.86 tff(179,plain,
% 153.92/98.86 (((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.86 inference(rewrite,[status(thm)],[])).
% 153.92/98.86 tff(180,plain,
% 153.92/98.86 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.86 inference(quant_inst,[status(thm)],[])).
% 153.92/98.86 tff(181,plain,
% 153.92/98.86 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[180, 179])).
% 153.92/98.86 tff(182,plain,
% 153.92/98.86 (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[181, 178, 158])).
% 153.92/98.86 tff(183,plain,
% 153.92/98.86 (((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp0)))) <=> ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp0)))),
% 153.92/98.86 inference(rewrite,[status(thm)],[])).
% 153.92/98.86 tff(184,plain,
% 153.92/98.86 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp0)))),
% 153.92/98.86 inference(quant_inst,[status(thm)],[])).
% 153.92/98.86 tff(185,plain,
% 153.92/98.86 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp0))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[184, 183])).
% 153.92/98.86 tff(186,plain,
% 153.92/98.86 (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp0)),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[185, 178, 54])).
% 153.92/98.86 tff(187,plain,
% 153.92/98.86 ((~(arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp0))) | (~arboreal(tptp_fun_X75_10(X194!23, tptp0))) | atomic(tptp0)),
% 153.92/98.86 inference(tautology,[status(thm)],[])).
% 153.92/98.86 tff(188,plain,
% 153.92/98.86 ((~(arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp0))) | (~arboreal(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[187, 35])).
% 153.92/98.86 tff(189,plain,
% 153.92/98.86 (~arboreal(tptp_fun_X75_10(X194!23, tptp0))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[188, 186])).
% 153.92/98.86 tff(190,plain,
% 153.92/98.86 ((~(arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | arboreal(tptp_fun_X75_10(X194!23, tptp0)) | (~atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.86 inference(tautology,[status(thm)],[])).
% 153.92/98.86 tff(191,plain,
% 153.92/98.86 ((~(arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[190, 189])).
% 153.92/98.86 tff(192,plain,
% 153.92/98.86 (~atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[191, 182])).
% 153.92/98.86 tff(193,plain,
% 153.92/98.86 (((~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(tautology,[status(thm)],[])).
% 153.92/98.86 tff(194,plain,
% 153.92/98.86 (leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[193, 156])).
% 153.92/98.86 tff(195,plain,
% 153.92/98.86 (^[X145: $i, X146: $i] : refl((atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145)))))) <=> (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145)))))))),
% 153.92/98.86 inference(bind,[status(th)],[])).
% 153.92/98.86 tff(196,plain,
% 153.92/98.86 (![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145)))))) <=> ![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))),
% 153.92/98.86 inference(quant_intro,[status(thm)],[195])).
% 153.92/98.86 tff(197,plain,
% 153.92/98.86 (^[X145: $i, X146: $i] : trans(monotonicity(trans(monotonicity(rewrite((leaf(X145, X146) & (~atomic(X146))) <=> (~(atomic(X146) | (~leaf(X145, X146))))), ((~(leaf(X145, X146) & (~atomic(X146)))) <=> (~(~(atomic(X146) | (~leaf(X145, X146))))))), rewrite((~(~(atomic(X146) | (~leaf(X145, X146))))) <=> (atomic(X146) | (~leaf(X145, X146)))), ((~(leaf(X145, X146) & (~atomic(X146)))) <=> (atomic(X146) | (~leaf(X145, X146))))), rewrite((occurrence_of(tptp_fun_X147_15(X146, X145), X146) & leaf_occ(X145, tptp_fun_X147_15(X146, X145))) <=> (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145)))))), (((~(leaf(X145, X146) & (~atomic(X146)))) | (occurrence_of(tptp_fun_X147_15(X146, X145), X146) & leaf_occ(X145, tptp_fun_X147_15(X146, X145)))) <=> ((atomic(X146) | (~leaf(X145, X146))) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145)))))))), rewrite(((atomic(X146) | (~leaf(X145, X146))) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145)))))) <=> (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))), (((~(leaf(X145, X146) & (~atomic(X146)))) | (occurrence_of(tptp_fun_X147_15(X146, X145), X146) & leaf_occ(X145, tptp_fun_X147_15(X146, X145)))) <=> (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))))),
% 153.92/98.86 inference(bind,[status(th)],[])).
% 153.92/98.86 tff(198,plain,
% 153.92/98.86 (![X145: $i, X146: $i] : ((~(leaf(X145, X146) & (~atomic(X146)))) | (occurrence_of(tptp_fun_X147_15(X146, X145), X146) & leaf_occ(X145, tptp_fun_X147_15(X146, X145)))) <=> ![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))),
% 153.92/98.86 inference(quant_intro,[status(thm)],[197])).
% 153.92/98.86 tff(199,plain,
% 153.92/98.86 (![X145: $i, X146: $i] : ((~(leaf(X145, X146) & (~atomic(X146)))) | ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147))) <=> ![X145: $i, X146: $i] : ((~(leaf(X145, X146) & (~atomic(X146)))) | ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147)))),
% 153.92/98.86 inference(rewrite,[status(thm)],[])).
% 153.92/98.86 tff(200,plain,
% 153.92/98.86 (^[X145: $i, X146: $i] : rewrite(((leaf(X145, X146) & (~atomic(X146))) => ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147))) <=> ((~(leaf(X145, X146) & (~atomic(X146)))) | ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147))))),
% 153.92/98.86 inference(bind,[status(th)],[])).
% 153.92/98.86 tff(201,plain,
% 153.92/98.86 (![X145: $i, X146: $i] : ((leaf(X145, X146) & (~atomic(X146))) => ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147))) <=> ![X145: $i, X146: $i] : ((~(leaf(X145, X146) & (~atomic(X146)))) | ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147)))),
% 153.92/98.86 inference(quant_intro,[status(thm)],[200])).
% 153.92/98.86 tff(202,axiom,(![X145: $i, X146: $i] : ((leaf(X145, X146) & (~atomic(X146))) => ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_45')).
% 153.92/98.86 tff(203,plain,
% 153.92/98.86 (![X145: $i, X146: $i] : ((~(leaf(X145, X146) & (~atomic(X146)))) | ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147)))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[202, 201])).
% 153.92/98.86 tff(204,plain,
% 153.92/98.86 (![X145: $i, X146: $i] : ((~(leaf(X145, X146) & (~atomic(X146)))) | ?[X147: $i] : (occurrence_of(X147, X146) & leaf_occ(X145, X147)))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[203, 199])).
% 153.92/98.86 tff(205,plain,(
% 153.92/98.86 ![X145: $i, X146: $i] : ((~(leaf(X145, X146) & (~atomic(X146)))) | (occurrence_of(tptp_fun_X147_15(X146, X145), X146) & leaf_occ(X145, tptp_fun_X147_15(X146, X145))))),
% 153.92/98.86 inference(skolemize,[status(sab)],[204])).
% 153.92/98.86 tff(206,plain,
% 153.92/98.86 (![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[205, 198])).
% 153.92/98.86 tff(207,plain,
% 153.92/98.86 (![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[206, 196])).
% 153.92/98.86 tff(208,plain,
% 153.92/98.86 (((~![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))) | (atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))) <=> ((~![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))) | atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 153.92/98.86 inference(rewrite,[status(thm)],[])).
% 153.92/98.86 tff(209,plain,
% 153.92/98.86 ((~![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))) | (atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 153.92/98.86 inference(quant_inst,[status(thm)],[])).
% 153.92/98.86 tff(210,plain,
% 153.92/98.86 ((~![X145: $i, X146: $i] : (atomic(X146) | (~leaf(X145, X146)) | (~((~occurrence_of(tptp_fun_X147_15(X146, X145), X146)) | (~leaf_occ(X145, tptp_fun_X147_15(X146, X145))))))) | atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[209, 208])).
% 153.92/98.86 tff(211,plain,
% 153.92/98.86 (atomic(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[210, 207, 194])).
% 153.92/98.86 tff(212,plain,
% 153.92/98.86 (~((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[211, 192])).
% 153.92/98.86 tff(213,plain,
% 153.92/98.86 (((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(tautology,[status(thm)],[])).
% 153.92/98.86 tff(214,plain,
% 153.92/98.86 (occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[213, 212])).
% 153.92/98.86 tff(215,plain,
% 153.92/98.86 (occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[214, 168])).
% 153.92/98.86 tff(216,plain,
% 153.92/98.86 (tptp0 = tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.86 inference(transitivity,[status(thm)],[112, 166])).
% 153.92/98.86 tff(217,plain,
% 153.92/98.86 (occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0) <=> occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(monotonicity,[status(thm)],[216])).
% 153.92/98.86 tff(218,plain,
% 153.92/98.86 (occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) <=> occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 153.92/98.86 inference(symmetry,[status(thm)],[217])).
% 153.92/98.86 tff(219,plain,
% 153.92/98.86 (occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[214, 218])).
% 153.92/98.86 tff(220,plain,
% 153.92/98.86 (((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))) <=> ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))),
% 153.92/98.86 inference(rewrite,[status(thm)],[])).
% 153.92/98.86 tff(221,plain,
% 153.92/98.86 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))),
% 153.92/98.86 inference(quant_inst,[status(thm)],[])).
% 153.92/98.86 tff(222,plain,
% 153.92/98.86 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))))),
% 153.92/98.86 inference(modus_ponens,[status(thm)],[221, 220])).
% 153.92/98.86 tff(223,plain,
% 153.92/98.86 ((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[222, 147])).
% 153.92/98.86 tff(224,plain,
% 153.92/98.86 (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[223, 219])).
% 153.92/98.86 tff(225,plain,
% 153.92/98.86 (((~occurrence_of(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))) | leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(tautology,[status(thm)],[])).
% 153.92/98.86 tff(226,plain,
% 153.92/98.86 (leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.86 inference(unit_resolution,[status(thm)],[225, 224])).
% 153.92/98.86 tff(227,plain,
% 153.92/98.86 (((~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.87 inference(tautology,[status(thm)],[])).
% 153.92/98.87 tff(228,plain,
% 153.92/98.87 (leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.87 inference(unit_resolution,[status(thm)],[227, 212])).
% 153.92/98.87 tff(229,plain,
% 153.92/98.87 (((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.87 inference(rewrite,[status(thm)],[])).
% 153.92/98.87 tff(230,plain,
% 153.92/98.87 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.87 inference(quant_inst,[status(thm)],[])).
% 153.92/98.87 tff(231,plain,
% 153.92/98.87 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[230, 229])).
% 153.92/98.87 tff(232,plain,
% 153.92/98.87 (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.87 inference(unit_resolution,[status(thm)],[231, 178, 92])).
% 153.92/98.87 tff(233,plain,
% 153.92/98.87 ((~(arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | arboreal(tptp_fun_X75_10(X194!23, tptp0)) | (~atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.87 inference(tautology,[status(thm)],[])).
% 153.92/98.87 tff(234,plain,
% 153.92/98.87 ((~(arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.87 inference(unit_resolution,[status(thm)],[233, 189])).
% 153.92/98.87 tff(235,plain,
% 153.92/98.87 (~atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.87 inference(unit_resolution,[status(thm)],[234, 232])).
% 153.92/98.87 tff(236,plain,
% 153.92/98.87 (^[X109: $i, X110: $i, X111: $i, X112: $i] : refl((atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))) <=> (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))),
% 153.92/98.87 inference(bind,[status(th)],[])).
% 153.92/98.87 tff(237,plain,
% 153.92/98.87 (![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))),
% 153.92/98.87 inference(quant_intro,[status(thm)],[236])).
% 153.92/98.87 tff(238,plain,
% 153.92/98.87 (^[X109: $i, X110: $i, X111: $i, X112: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111)) <=> (~(atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))), ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) <=> (~(~(atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))))), rewrite((~(~(atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))) <=> (atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))), ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) <=> (atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))), (((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110)) <=> ((atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))) | (X109 = X110)))), rewrite(((atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))) | (X109 = X110)) <=> (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))), (((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110)) <=> (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))))),
% 153.92/98.87 inference(bind,[status(th)],[])).
% 153.92/98.87 tff(239,plain,
% 153.92/98.87 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110)) <=> ![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))),
% 153.92/98.87 inference(quant_intro,[status(thm)],[238])).
% 153.92/98.87 tff(240,plain,
% 153.92/98.87 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110)) <=> ![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 153.92/98.87 inference(rewrite,[status(thm)],[])).
% 153.92/98.87 tff(241,plain,
% 153.92/98.87 (^[X109: $i, X110: $i, X111: $i, X112: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) <=> (occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111))), ((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) <=> ((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)))), rewrite(((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) <=> (occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))), ((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) <=> (occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111)))), (((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) => (X109 = X110)) <=> ((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111)) => (X109 = X110)))), rewrite(((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111)) => (X109 = X110)) <=> ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))), (((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) => (X109 = X110)) <=> ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))))),
% 153.92/98.87 inference(bind,[status(th)],[])).
% 153.92/98.87 tff(242,plain,
% 153.92/98.87 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) => (X109 = X110)) <=> ![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 153.92/98.87 inference(quant_intro,[status(thm)],[241])).
% 153.92/98.87 tff(243,axiom,(![X109: $i, X110: $i, X111: $i, X112: $i] : ((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) => (X109 = X110))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_36')).
% 153.92/98.87 tff(244,plain,
% 153.92/98.87 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[243, 242])).
% 153.92/98.87 tff(245,plain,
% 153.92/98.87 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[244, 240])).
% 153.92/98.87 tff(246,plain,(
% 153.92/98.87 ![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 153.92/98.87 inference(skolemize,[status(sab)],[245])).
% 153.92/98.87 tff(247,plain,
% 153.92/98.87 (![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[246, 239])).
% 153.92/98.87 tff(248,plain,
% 153.92/98.87 (![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[247, 237])).
% 153.92/98.87 tff(249,plain,
% 153.92/98.87 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.87 inference(rewrite,[status(thm)],[])).
% 153.92/98.87 tff(250,plain,
% 153.92/98.87 ((atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) <=> (atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.87 inference(rewrite,[status(thm)],[])).
% 153.92/98.87 tff(251,plain,
% 153.92/98.87 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.87 inference(monotonicity,[status(thm)],[250])).
% 153.92/98.87 tff(252,plain,
% 153.92/98.87 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.87 inference(transitivity,[status(thm)],[251, 249])).
% 153.92/98.87 tff(253,plain,
% 153.92/98.87 ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.87 inference(quant_inst,[status(thm)],[])).
% 153.92/98.87 tff(254,plain,
% 153.92/98.87 ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[253, 252])).
% 153.92/98.87 tff(255,plain,
% 153.92/98.87 (tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.87 inference(unit_resolution,[status(thm)],[254, 248, 235, 228, 226, 215])).
% 153.92/98.87 tff(256,plain,
% 153.92/98.87 (tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))),
% 153.92/98.87 inference(symmetry,[status(thm)],[255])).
% 153.92/98.87 tff(257,plain,
% 153.92/98.87 (next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.87 inference(monotonicity,[status(thm)],[256])).
% 153.92/98.87 tff(258,plain,
% 153.92/98.87 (next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.87 inference(symmetry,[status(thm)],[257])).
% 153.92/98.87 tff(259,plain,
% 153.92/98.87 (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp0),
% 153.92/98.87 inference(symmetry,[status(thm)],[112])).
% 153.92/98.87 tff(260,assumption,(![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))), introduced(assumption)).
% 153.92/98.87 tff(261,plain,
% 153.92/98.87 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 153.92/98.87 inference(monotonicity,[status(thm)],[259])).
% 153.92/98.87 tff(262,plain,
% 153.92/98.87 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0) <=> min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.87 inference(symmetry,[status(thm)],[261])).
% 153.92/98.87 tff(263,plain,
% 153.92/98.87 (^[X60: $i, X61: $i, X62: $i] : rewrite((~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))))))),
% 153.92/98.87 inference(bind,[status(th)],[])).
% 153.92/98.87 tff(264,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))),
% 153.92/98.87 inference(quant_intro,[status(thm)],[263])).
% 153.92/98.87 tff(265,plain,
% 153.92/98.87 (^[X60: $i, X61: $i, X62: $i] : refl((~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))))),
% 153.92/98.87 inference(bind,[status(th)],[])).
% 153.92/98.87 tff(266,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 153.92/98.87 inference(quant_intro,[status(thm)],[265])).
% 153.92/98.87 tff(267,plain,
% 153.92/98.87 (^[X60: $i, X61: $i, X62: $i] : rewrite((~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))))),
% 153.92/98.87 inference(bind,[status(th)],[])).
% 153.92/98.87 tff(268,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 153.92/98.87 inference(quant_intro,[status(thm)],[267])).
% 153.92/98.87 tff(269,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 153.92/98.87 inference(transitivity,[status(thm)],[268, 266])).
% 153.92/98.87 tff(270,plain,
% 153.92/98.87 (^[X60: $i, X61: $i, X62: $i] : trans(monotonicity(rewrite(((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) <=> ((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))), trans(monotonicity(rewrite((min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)) <=> (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))), ((next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))) <=> (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))), rewrite((next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))) <=> (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))), ((next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))) <=> (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))), ((((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))) <=> (((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))), rewrite((((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) <=> (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))), ((((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))) <=> (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))))),
% 153.92/98.87 inference(bind,[status(th)],[])).
% 153.92/98.87 tff(271,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 153.92/98.87 inference(quant_intro,[status(thm)],[270])).
% 153.92/98.87 tff(272,plain,
% 153.92/98.87 (^[X60: $i, X61: $i, X62: $i] : rewrite((((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | ((~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))) <=> (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))),
% 153.92/98.87 inference(bind,[status(th)],[])).
% 153.92/98.87 tff(273,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | ((~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))) <=> ![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))),
% 153.92/98.87 inference(quant_intro,[status(thm)],[272])).
% 153.92/98.87 tff(274,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (next_subocc(X60, X61, X62) <=> (min_precedes(X60, X61, X62) & (~?[X63: $i] : (min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) <=> ![X60: $i, X61: $i, X62: $i] : (next_subocc(X60, X61, X62) <=> (min_precedes(X60, X61, X62) & (~?[X63: $i] : (min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62)))))),
% 153.92/98.87 inference(rewrite,[status(thm)],[])).
% 153.92/98.87 tff(275,axiom,(![X60: $i, X61: $i, X62: $i] : (next_subocc(X60, X61, X62) <=> (min_precedes(X60, X61, X62) & (~?[X63: $i] : (min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_22')).
% 153.92/98.87 tff(276,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (next_subocc(X60, X61, X62) <=> (min_precedes(X60, X61, X62) & (~?[X63: $i] : (min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62)))))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[275, 274])).
% 153.92/98.87 tff(277,plain,(
% 153.92/98.87 ![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | ((~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))),
% 153.92/98.87 inference(skolemize,[status(sab)],[276])).
% 153.92/98.87 tff(278,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[277, 273])).
% 153.92/98.87 tff(279,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[278, 271])).
% 153.92/98.87 tff(280,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[279, 269])).
% 153.92/98.87 tff(281,plain,
% 153.92/98.87 (![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))),
% 153.92/98.87 inference(modus_ponens,[status(thm)],[280, 264])).
% 153.92/98.87 tff(282,plain,
% 153.92/98.87 ((~![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))) | (~((~(next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X63_7(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0))))))))))),
% 153.92/98.87 inference(quant_inst,[status(thm)],[])).
% 153.92/98.87 tff(283,plain,
% 153.92/98.87 (~((~(next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X63_7(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0)))))))))),
% 153.92/98.87 inference(unit_resolution,[status(thm)],[282, 281])).
% 153.92/98.87 tff(284,plain,
% 153.92/98.87 (((~(next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X63_7(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0))))))))) | ((~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0)))))))),
% 153.92/98.88 inference(tautology,[status(thm)],[])).
% 153.92/98.88 tff(285,plain,
% 153.92/98.88 ((~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0))))))),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[284, 283])).
% 153.92/98.88 tff(286,plain,
% 153.92/98.88 (((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0))) | next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 153.92/98.88 inference(tautology,[status(thm)],[])).
% 153.92/98.88 tff(287,plain,
% 153.92/98.88 (next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[286, 151])).
% 153.92/98.88 tff(288,plain,
% 153.92/98.88 ((~((~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0)))))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0))))))),
% 153.92/98.88 inference(tautology,[status(thm)],[])).
% 153.92/98.88 tff(289,plain,
% 153.92/98.88 ((~((~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0)))))))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0))))))),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[288, 287])).
% 153.92/98.88 tff(290,plain,
% 153.92/98.88 (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0)))))),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[289, 285])).
% 153.92/98.88 tff(291,plain,
% 153.92/98.88 (((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X63, tptp0))))) | min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 153.92/98.88 inference(tautology,[status(thm)],[])).
% 153.92/98.88 tff(292,plain,
% 153.92/98.88 (min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[291, 290])).
% 153.92/98.88 tff(293,plain,
% 153.92/98.88 (^[X31: $i, X32: $i, X33: $i] : refl(((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))))) <=> ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))))))),
% 153.92/98.88 inference(bind,[status(th)],[])).
% 153.92/98.88 tff(294,plain,
% 153.92/98.88 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))))) <=> ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))),
% 153.92/98.88 inference(quant_intro,[status(thm)],[293])).
% 153.92/98.88 tff(295,plain,
% 153.92/98.88 (^[X31: $i, X32: $i, X33: $i] : rewrite(((~min_precedes(X31, X32, X33)) | (root(tptp_fun_X34_4(X33, X32), X33) & min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))) <=> ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))))))),
% 153.92/98.88 inference(bind,[status(th)],[])).
% 153.92/98.88 tff(296,plain,
% 153.92/98.88 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (root(tptp_fun_X34_4(X33, X32), X33) & min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))) <=> ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))),
% 153.92/98.88 inference(quant_intro,[status(thm)],[295])).
% 153.92/98.88 tff(297,plain,
% 153.92/98.88 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33))) <=> ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))),
% 153.92/98.88 inference(rewrite,[status(thm)],[])).
% 153.92/98.88 tff(298,plain,
% 153.92/98.88 (^[X31: $i, X32: $i, X33: $i] : rewrite((min_precedes(X31, X32, X33) => ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33))) <=> ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33))))),
% 153.92/98.88 inference(bind,[status(th)],[])).
% 153.92/98.88 tff(299,plain,
% 153.92/98.88 (![X31: $i, X32: $i, X33: $i] : (min_precedes(X31, X32, X33) => ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33))) <=> ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))),
% 153.92/98.88 inference(quant_intro,[status(thm)],[298])).
% 153.92/98.88 tff(300,axiom,(![X31: $i, X32: $i, X33: $i] : (min_precedes(X31, X32, X33) => ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_13')).
% 153.92/98.88 tff(301,plain,
% 153.92/98.88 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[300, 299])).
% 153.92/98.88 tff(302,plain,
% 153.92/98.88 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[301, 297])).
% 153.92/98.88 tff(303,plain,(
% 153.92/98.88 ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (root(tptp_fun_X34_4(X33, X32), X33) & min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))),
% 153.92/98.88 inference(skolemize,[status(sab)],[302])).
% 153.92/98.88 tff(304,plain,
% 153.92/98.88 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[303, 296])).
% 153.92/98.88 tff(305,plain,
% 153.92/98.88 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[304, 294])).
% 153.92/98.88 tff(306,plain,
% 153.92/98.88 (((~![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))) | ((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))) <=> ((~![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))),
% 153.92/98.88 inference(rewrite,[status(thm)],[])).
% 153.92/98.88 tff(307,plain,
% 153.92/98.88 ((~![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))) | ((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))))),
% 153.92/98.88 inference(quant_inst,[status(thm)],[])).
% 153.92/98.88 tff(308,plain,
% 153.92/98.88 ((~![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)) | (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0))))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[307, 306])).
% 153.92/98.88 tff(309,plain,
% 153.92/98.88 (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)))),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[308, 305, 292])).
% 153.92/98.88 tff(310,plain,
% 153.92/98.88 (((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0))) | min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 153.92/98.88 inference(tautology,[status(thm)],[])).
% 153.92/98.88 tff(311,plain,
% 153.92/98.88 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[310, 309])).
% 153.92/98.88 tff(312,plain,
% 153.92/98.88 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[311, 262])).
% 153.92/98.88 tff(313,plain,
% 153.92/98.88 (^[X69: $i, X70: $i, X71: $i] : refl(((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69)))))) <=> ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69)))))))),
% 153.92/98.88 inference(bind,[status(th)],[])).
% 153.92/98.88 tff(314,plain,
% 153.92/98.88 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69)))))) <=> ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))),
% 153.92/98.88 inference(quant_intro,[status(thm)],[313])).
% 153.92/98.88 tff(315,plain,
% 153.92/98.88 (^[X69: $i, X70: $i, X71: $i] : rewrite(((~min_precedes(X70, X71, X69)) | (occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69) & subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69)) & subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69)))) <=> ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69)))))))),
% 153.92/98.88 inference(bind,[status(th)],[])).
% 153.92/98.88 tff(316,plain,
% 153.92/98.88 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69) & subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69)) & subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69)))) <=> ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))),
% 153.92/98.88 inference(quant_intro,[status(thm)],[315])).
% 153.92/98.88 tff(317,plain,
% 153.92/98.88 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72))) <=> ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))),
% 153.92/98.88 inference(rewrite,[status(thm)],[])).
% 153.92/98.88 tff(318,plain,
% 153.92/98.88 (^[X69: $i, X70: $i, X71: $i] : trans(monotonicity(quant_intro(proof_bind(^[X72: $i] : rewrite(((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72)) <=> (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))), (?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72)) <=> ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))), ((min_precedes(X70, X71, X69) => ?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72))) <=> (min_precedes(X70, X71, X69) => ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72))))), rewrite((min_precedes(X70, X71, X69) => ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72))) <=> ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))), ((min_precedes(X70, X71, X69) => ?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72))) <=> ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))))),
% 153.92/98.88 inference(bind,[status(th)],[])).
% 153.92/98.88 tff(319,plain,
% 153.92/98.88 (![X69: $i, X70: $i, X71: $i] : (min_precedes(X70, X71, X69) => ?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72))) <=> ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))),
% 153.92/98.88 inference(quant_intro,[status(thm)],[318])).
% 153.92/98.88 tff(320,axiom,(![X69: $i, X70: $i, X71: $i] : (min_precedes(X70, X71, X69) => ?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_25')).
% 153.92/98.88 tff(321,plain,
% 153.92/98.88 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[320, 319])).
% 153.92/98.88 tff(322,plain,
% 153.92/98.88 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[321, 317])).
% 153.92/98.88 tff(323,plain,(
% 153.92/98.88 ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69) & subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69)) & subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))),
% 153.92/98.88 inference(skolemize,[status(sab)],[322])).
% 153.92/98.88 tff(324,plain,
% 153.92/98.88 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[323, 316])).
% 153.92/98.88 tff(325,plain,
% 153.92/98.88 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[324, 314])).
% 153.92/98.88 tff(326,plain,
% 153.92/98.88 (((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))) | ((~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))) <=> ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 153.92/98.88 inference(rewrite,[status(thm)],[])).
% 153.92/98.88 tff(327,plain,
% 153.92/98.88 ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))) | ((~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 153.92/98.88 inference(quant_inst,[status(thm)],[])).
% 153.92/98.88 tff(328,plain,
% 153.92/98.88 ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.88 inference(modus_ponens,[status(thm)],[327, 326])).
% 153.92/98.88 tff(329,plain,
% 153.92/98.88 ((~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[328, 325])).
% 153.92/98.88 tff(330,plain,
% 153.92/98.88 (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[329, 312])).
% 153.92/98.88 tff(331,plain,
% 153.92/98.88 (((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.88 inference(tautology,[status(thm)],[])).
% 153.92/98.88 tff(332,plain,
% 153.92/98.88 (subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 153.92/98.88 inference(unit_resolution,[status(thm)],[331, 330])).
% 153.92/98.88 tff(333,plain,
% 153.92/98.88 (((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.88 inference(tautology,[status(thm)],[])).
% 154.03/98.88 tff(334,plain,
% 154.03/98.88 (occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.88 inference(unit_resolution,[status(thm)],[333, 330])).
% 154.03/98.88 tff(335,plain,
% 154.03/98.88 (root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 154.03/98.88 inference(monotonicity,[status(thm)],[259])).
% 154.03/98.88 tff(336,plain,
% 154.03/98.88 (root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0) <=> root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.88 inference(symmetry,[status(thm)],[335])).
% 154.03/98.88 tff(337,plain,
% 154.03/98.88 (((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0))) | root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 154.03/98.88 inference(tautology,[status(thm)],[])).
% 154.03/98.88 tff(338,plain,
% 154.03/98.88 (root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 154.03/98.88 inference(unit_resolution,[status(thm)],[337, 309])).
% 154.03/98.88 tff(339,plain,
% 154.03/98.88 (root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.88 inference(modus_ponens,[status(thm)],[338, 336])).
% 154.03/98.88 tff(340,plain,
% 154.03/98.88 (((~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.88 inference(rewrite,[status(thm)],[])).
% 154.03/98.88 tff(341,plain,
% 154.03/98.88 (((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.88 inference(rewrite,[status(thm)],[])).
% 154.03/98.88 tff(342,plain,
% 154.03/98.88 (((~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.88 inference(monotonicity,[status(thm)],[341])).
% 154.03/98.88 tff(343,plain,
% 154.03/98.88 (((~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.88 inference(transitivity,[status(thm)],[342, 340])).
% 154.03/98.88 tff(344,plain,
% 154.03/98.88 ((~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.89 inference(quant_inst,[status(thm)],[])).
% 154.03/98.89 tff(345,plain,
% 154.03/98.89 ((~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.89 inference(modus_ponens,[status(thm)],[344, 343])).
% 154.03/98.89 tff(346,plain,
% 154.03/98.89 ($false),
% 154.03/98.89 inference(unit_resolution,[status(thm)],[345, 339, 334, 332, 260])).
% 154.03/98.89 tff(347,plain,(~![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))), inference(lemma,lemma(discharge,[]))).
% 154.03/98.89 tff(348,plain,
% 154.03/98.89 (^[X99: $i, X100: $i] : refl((~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))))) <=> (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))))))),
% 154.03/98.89 inference(bind,[status(th)],[])).
% 154.03/98.89 tff(349,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))))) <=> ![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))),
% 154.03/98.89 inference(quant_intro,[status(thm)],[348])).
% 154.03/98.89 tff(350,plain,
% 154.03/98.89 (^[X99: $i, X100: $i] : rewrite((~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))))) <=> (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))))))),
% 154.03/98.89 inference(bind,[status(th)],[])).
% 154.03/98.89 tff(351,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))))) <=> ![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))),
% 154.03/98.89 inference(quant_intro,[status(thm)],[350])).
% 154.03/98.89 tff(352,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))))) <=> ![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))),
% 154.03/98.89 inference(transitivity,[status(thm)],[351, 349])).
% 154.03/98.89 tff(353,plain,
% 154.03/98.89 (^[X99: $i, X100: $i] : trans(monotonicity(rewrite(((~root_occ(X99, X100)) | (occurrence_of(X100, tptp_fun_X101_13(X100, X99)) & subactivity_occurrence(X99, X100) & root(X99, tptp_fun_X101_13(X100, X99)))) <=> ((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))), rewrite((root_occ(X99, X100) | ![X101: $i] : (~(occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101)))) <=> (root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))), ((((~root_occ(X99, X100)) | (occurrence_of(X100, tptp_fun_X101_13(X100, X99)) & subactivity_occurrence(X99, X100) & root(X99, tptp_fun_X101_13(X100, X99)))) & (root_occ(X99, X100) | ![X101: $i] : (~(occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101))))) <=> (((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99)))))) & (root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))))), rewrite((((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99)))))) & (root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101))))) <=> (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))), ((((~root_occ(X99, X100)) | (occurrence_of(X100, tptp_fun_X101_13(X100, X99)) & subactivity_occurrence(X99, X100) & root(X99, tptp_fun_X101_13(X100, X99)))) & (root_occ(X99, X100) | ![X101: $i] : (~(occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101))))) <=> (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))))),
% 154.03/98.89 inference(bind,[status(th)],[])).
% 154.03/98.89 tff(354,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (((~root_occ(X99, X100)) | (occurrence_of(X100, tptp_fun_X101_13(X100, X99)) & subactivity_occurrence(X99, X100) & root(X99, tptp_fun_X101_13(X100, X99)))) & (root_occ(X99, X100) | ![X101: $i] : (~(occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101))))) <=> ![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))),
% 154.03/98.89 inference(quant_intro,[status(thm)],[353])).
% 154.03/98.89 tff(355,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (root_occ(X99, X100) <=> ?[X101: $i] : (occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101))) <=> ![X99: $i, X100: $i] : (root_occ(X99, X100) <=> ?[X101: $i] : (occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101)))),
% 154.03/98.89 inference(rewrite,[status(thm)],[])).
% 154.03/98.89 tff(356,plain,
% 154.03/98.89 (^[X99: $i, X100: $i] : rewrite((root_occ(X99, X100) <=> ?[X101: $i] : ((occurrence_of(X100, X101) & subactivity_occurrence(X99, X100)) & root(X99, X101))) <=> (root_occ(X99, X100) <=> ?[X101: $i] : (occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101))))),
% 154.03/98.89 inference(bind,[status(th)],[])).
% 154.03/98.89 tff(357,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (root_occ(X99, X100) <=> ?[X101: $i] : ((occurrence_of(X100, X101) & subactivity_occurrence(X99, X100)) & root(X99, X101))) <=> ![X99: $i, X100: $i] : (root_occ(X99, X100) <=> ?[X101: $i] : (occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101)))),
% 154.03/98.89 inference(quant_intro,[status(thm)],[356])).
% 154.03/98.89 tff(358,axiom,(![X99: $i, X100: $i] : (root_occ(X99, X100) <=> ?[X101: $i] : ((occurrence_of(X100, X101) & subactivity_occurrence(X99, X100)) & root(X99, X101)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_33')).
% 154.03/98.89 tff(359,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (root_occ(X99, X100) <=> ?[X101: $i] : (occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101)))),
% 154.03/98.89 inference(modus_ponens,[status(thm)],[358, 357])).
% 154.03/98.89 tff(360,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (root_occ(X99, X100) <=> ?[X101: $i] : (occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101)))),
% 154.03/98.89 inference(modus_ponens,[status(thm)],[359, 355])).
% 154.03/98.89 tff(361,plain,(
% 154.03/98.89 ![X99: $i, X100: $i] : (((~root_occ(X99, X100)) | (occurrence_of(X100, tptp_fun_X101_13(X100, X99)) & subactivity_occurrence(X99, X100) & root(X99, tptp_fun_X101_13(X100, X99)))) & (root_occ(X99, X100) | ![X101: $i] : (~(occurrence_of(X100, X101) & subactivity_occurrence(X99, X100) & root(X99, X101)))))),
% 154.03/98.89 inference(skolemize,[status(sab)],[360])).
% 154.03/98.89 tff(362,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))),
% 154.03/98.89 inference(modus_ponens,[status(thm)],[361, 354])).
% 154.03/98.89 tff(363,plain,
% 154.03/98.89 (![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))),
% 154.03/98.89 inference(modus_ponens,[status(thm)],[362, 352])).
% 154.03/98.89 tff(364,plain,
% 154.03/98.89 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))))))),
% 154.03/98.89 inference(rewrite,[status(thm)],[])).
% 154.03/98.89 tff(365,plain,
% 154.03/98.89 ((~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101))))))) <=> (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))),
% 154.03/98.89 inference(rewrite,[status(thm)],[])).
% 154.03/98.89 tff(366,plain,
% 154.03/98.89 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))))))),
% 154.03/98.89 inference(monotonicity,[status(thm)],[365])).
% 154.03/98.89 tff(367,plain,
% 154.03/98.89 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))))))),
% 154.03/98.89 inference(transitivity,[status(thm)],[366, 364])).
% 154.03/98.89 tff(368,plain,
% 154.03/98.89 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))),
% 154.03/98.89 inference(quant_inst,[status(thm)],[])).
% 154.03/98.89 tff(369,plain,
% 154.03/98.89 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))),
% 154.03/98.89 inference(modus_ponens,[status(thm)],[368, 367])).
% 154.03/98.89 tff(370,plain,
% 154.03/98.89 (~((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))))),
% 154.03/98.89 inference(unit_resolution,[status(thm)],[369, 363])).
% 154.03/98.89 tff(371,plain,
% 154.03/98.90 (((~((~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))))) | (root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))),
% 154.03/98.90 inference(tautology,[status(thm)],[])).
% 154.03/98.90 tff(372,plain,
% 154.03/98.90 (root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))),
% 154.03/98.90 inference(unit_resolution,[status(thm)],[371, 370])).
% 154.03/98.90 tff(373,plain,
% 154.03/98.90 ((~(root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))) | root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))),
% 154.03/98.90 inference(tautology,[status(thm)],[])).
% 154.03/98.90 tff(374,plain,
% 154.03/98.90 (root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))),
% 154.03/98.90 inference(unit_resolution,[status(thm)],[373, 372])).
% 154.03/98.90 tff(375,plain,
% 154.03/98.90 (root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.90 inference(unit_resolution,[status(thm)],[374, 347])).
% 154.03/98.90 tff(376,plain,
% 154.03/98.90 (occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0) <=> occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.90 inference(monotonicity,[status(thm)],[112])).
% 154.03/98.90 tff(377,plain,
% 154.03/98.90 (occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 154.03/98.90 inference(symmetry,[status(thm)],[376])).
% 154.03/98.90 tff(378,plain,
% 154.03/98.90 (occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 154.03/98.90 inference(modus_ponens,[status(thm)],[334, 377])).
% 154.03/98.90 tff(379,plain,
% 154.03/98.90 (((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))) <=> ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))),
% 154.03/98.90 inference(rewrite,[status(thm)],[])).
% 154.03/98.90 tff(380,plain,
% 154.03/98.90 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))),
% 154.03/98.90 inference(quant_inst,[status(thm)],[])).
% 154.03/98.90 tff(381,plain,
% 154.03/98.90 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))))),
% 154.03/98.90 inference(modus_ponens,[status(thm)],[380, 379])).
% 154.03/98.90 tff(382,plain,
% 154.03/98.90 ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))))),
% 154.03/98.90 inference(unit_resolution,[status(thm)],[381, 147])).
% 154.03/98.90 tff(383,plain,
% 154.03/98.90 (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))),
% 154.03/98.90 inference(unit_resolution,[status(thm)],[382, 378])).
% 154.03/98.90 tff(384,plain,
% 154.03/98.90 (((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))) | root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.90 inference(tautology,[status(thm)],[])).
% 154.03/98.90 tff(385,plain,
% 154.03/98.90 (root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.90 inference(unit_resolution,[status(thm)],[384, 383])).
% 154.03/98.90 tff(386,plain,
% 154.03/98.90 (^[X105: $i, X106: $i, X107: $i, X108: $i] : refl(((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))) <=> ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))))),
% 154.03/98.90 inference(bind,[status(th)],[])).
% 154.03/98.90 tff(387,plain,
% 154.03/98.90 (![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))) <=> ![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))),
% 154.03/98.90 inference(quant_intro,[status(thm)],[386])).
% 154.03/98.90 tff(388,plain,
% 154.03/98.90 (^[X105: $i, X106: $i, X107: $i, X108: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107)) <=> (~((~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))))), ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) <=> (~(~((~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))))))), rewrite((~(~((~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))))) <=> ((~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))), ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) <=> ((~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))))), (((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106)) <=> (((~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))) | (X105 = X106)))), rewrite((((~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107))) | (X105 = X106)) <=> ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))), (((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106)) <=> ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))))),
% 154.03/98.90 inference(bind,[status(th)],[])).
% 154.03/98.90 tff(389,plain,
% 154.03/98.90 (![X105: $i, X106: $i, X107: $i, X108: $i] : ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106)) <=> ![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))),
% 154.03/98.90 inference(quant_intro,[status(thm)],[388])).
% 154.03/98.90 tff(390,plain,
% 154.03/98.90 (![X105: $i, X106: $i, X107: $i, X108: $i] : ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106)) <=> ![X105: $i, X106: $i, X107: $i, X108: $i] : ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106))),
% 154.03/98.90 inference(rewrite,[status(thm)],[])).
% 154.03/98.90 tff(391,plain,
% 154.03/98.90 (^[X105: $i, X106: $i, X107: $i, X108: $i] : trans(monotonicity(rewrite(((occurrence_of(X107, X108) & root_occ(X105, X107)) & root_occ(X106, X107)) <=> (occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))), ((((occurrence_of(X107, X108) & root_occ(X105, X107)) & root_occ(X106, X107)) => (X105 = X106)) <=> ((occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107)) => (X105 = X106)))), rewrite(((occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107)) => (X105 = X106)) <=> ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106))), ((((occurrence_of(X107, X108) & root_occ(X105, X107)) & root_occ(X106, X107)) => (X105 = X106)) <=> ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106))))),
% 154.03/98.90 inference(bind,[status(th)],[])).
% 154.03/98.90 tff(392,plain,
% 154.03/98.90 (![X105: $i, X106: $i, X107: $i, X108: $i] : (((occurrence_of(X107, X108) & root_occ(X105, X107)) & root_occ(X106, X107)) => (X105 = X106)) <=> ![X105: $i, X106: $i, X107: $i, X108: $i] : ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106))),
% 154.03/98.90 inference(quant_intro,[status(thm)],[391])).
% 154.03/98.90 tff(393,axiom,(![X105: $i, X106: $i, X107: $i, X108: $i] : (((occurrence_of(X107, X108) & root_occ(X105, X107)) & root_occ(X106, X107)) => (X105 = X106))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_35')).
% 154.03/98.90 tff(394,plain,
% 154.03/98.90 (![X105: $i, X106: $i, X107: $i, X108: $i] : ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106))),
% 154.03/98.90 inference(modus_ponens,[status(thm)],[393, 392])).
% 154.03/98.90 tff(395,plain,
% 154.03/98.90 (![X105: $i, X106: $i, X107: $i, X108: $i] : ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106))),
% 154.03/98.90 inference(modus_ponens,[status(thm)],[394, 390])).
% 154.03/98.90 tff(396,plain,(
% 154.03/98.90 ![X105: $i, X106: $i, X107: $i, X108: $i] : ((~(occurrence_of(X107, X108) & root_occ(X105, X107) & root_occ(X106, X107))) | (X105 = X106))),
% 154.03/98.90 inference(skolemize,[status(sab)],[395])).
% 154.03/98.90 tff(397,plain,
% 154.03/98.90 (![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))),
% 154.03/98.90 inference(modus_ponens,[status(thm)],[396, 389])).
% 154.03/98.90 tff(398,plain,
% 154.03/98.90 (![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))),
% 154.03/98.90 inference(modus_ponens,[status(thm)],[397, 387])).
% 154.03/98.90 tff(399,plain,
% 154.03/98.90 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.90 inference(rewrite,[status(thm)],[])).
% 154.03/98.90 tff(400,plain,
% 154.03/98.90 (((tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.91 inference(rewrite,[status(thm)],[])).
% 154.03/98.91 tff(401,plain,
% 154.03/98.91 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.91 inference(monotonicity,[status(thm)],[400])).
% 154.03/98.91 tff(402,plain,
% 154.03/98.91 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.91 inference(transitivity,[status(thm)],[401, 399])).
% 154.03/98.91 tff(403,plain,
% 154.03/98.91 ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.91 inference(quant_inst,[status(thm)],[])).
% 154.03/98.91 tff(404,plain,
% 154.03/98.91 ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.91 inference(modus_ponens,[status(thm)],[403, 402])).
% 154.03/98.91 tff(405,plain,
% 154.03/98.91 (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.91 inference(unit_resolution,[status(thm)],[404, 398, 334, 385, 375])).
% 154.03/98.91 tff(406,plain,
% 154.03/98.91 (min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 154.03/98.91 inference(monotonicity,[status(thm)],[405, 256, 259])).
% 154.03/98.91 tff(407,plain,
% 154.03/98.91 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0) <=> min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.91 inference(symmetry,[status(thm)],[406])).
% 154.03/98.91 tff(408,plain,
% 154.03/98.91 (min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.91 inference(modus_ponens,[status(thm)],[311, 407])).
% 154.03/98.91 tff(409,plain,
% 154.03/98.91 ((~![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))) | (~((~(next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))))))),
% 154.03/98.91 inference(quant_inst,[status(thm)],[])).
% 154.03/98.91 tff(410,plain,
% 154.03/98.91 (~((~(next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))))),
% 154.03/98.91 inference(unit_resolution,[status(thm)],[409, 281])).
% 154.03/98.91 tff(411,plain,
% 154.03/98.91 (((~(next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))))) | ((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.03/98.91 inference(tautology,[status(thm)],[])).
% 154.03/98.91 tff(412,plain,
% 154.03/98.91 ((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.03/98.91 inference(unit_resolution,[status(thm)],[411, 410])).
% 154.03/98.91 tff(413,plain,
% 154.03/98.91 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)),
% 154.03/98.91 inference(monotonicity,[status(thm)],[259])).
% 154.03/98.91 tff(414,plain,
% 154.03/98.91 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0) <=> next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.91 inference(symmetry,[status(thm)],[413])).
% 154.03/98.91 tff(415,plain,
% 154.03/98.91 (((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))) | next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)),
% 154.03/98.91 inference(tautology,[status(thm)],[])).
% 154.03/98.91 tff(416,plain,
% 154.03/98.91 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)),
% 154.03/98.91 inference(unit_resolution,[status(thm)],[415, 383])).
% 154.03/98.91 tff(417,plain,
% 154.03/98.91 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.91 inference(modus_ponens,[status(thm)],[416, 414])).
% 154.03/98.91 tff(418,plain,
% 154.03/98.91 ((~((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.03/98.91 inference(tautology,[status(thm)],[])).
% 154.03/98.91 tff(419,plain,
% 154.03/98.91 (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.91 inference(unit_resolution,[status(thm)],[418, 417, 412])).
% 154.03/98.91 tff(420,plain,
% 154.03/98.91 (((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) | ![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.92 inference(tautology,[status(thm)],[])).
% 154.03/98.92 tff(421,plain,
% 154.03/98.92 (![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.92 inference(unit_resolution,[status(thm)],[420, 419])).
% 154.03/98.92 tff(422,plain,
% 154.03/98.92 (((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | ((~min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.92 inference(rewrite,[status(thm)],[])).
% 154.03/98.92 tff(423,plain,
% 154.03/98.92 ((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | ((~min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.92 inference(quant_inst,[status(thm)],[])).
% 154.03/98.92 tff(424,plain,
% 154.03/98.92 ((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(modus_ponens,[status(thm)],[423, 422])).
% 154.03/98.92 tff(425,plain,
% 154.03/98.92 ((~min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(unit_resolution,[status(thm)],[424, 421])).
% 154.03/98.92 tff(426,plain,
% 154.03/98.92 (~min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.92 inference(unit_resolution,[status(thm)],[425, 408])).
% 154.03/98.92 tff(427,plain,
% 154.03/98.92 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 154.03/98.92 inference(monotonicity,[status(thm)],[256, 259])).
% 154.03/98.92 tff(428,plain,
% 154.03/98.92 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0) <=> min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.92 inference(symmetry,[status(thm)],[427])).
% 154.03/98.92 tff(429,plain,
% 154.03/98.92 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.92 inference(modus_ponens,[status(thm)],[311, 428])).
% 154.03/98.92 tff(430,plain,
% 154.03/98.92 (subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) <=> subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(monotonicity,[status(thm)],[256])).
% 154.03/98.92 tff(431,plain,
% 154.03/98.92 (subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) <=> subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(symmetry,[status(thm)],[430])).
% 154.03/98.92 tff(432,plain,
% 154.03/98.92 (((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(tautology,[status(thm)],[])).
% 154.03/98.92 tff(433,plain,
% 154.03/98.92 (subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(unit_resolution,[status(thm)],[432, 330])).
% 154.03/98.92 tff(434,plain,
% 154.03/98.92 (subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(modus_ponens,[status(thm)],[433, 431])).
% 154.03/98.92 tff(435,plain,
% 154.03/98.92 (((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))) | leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(tautology,[status(thm)],[])).
% 154.03/98.92 tff(436,plain,
% 154.03/98.92 (leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.92 inference(unit_resolution,[status(thm)],[435, 383])).
% 154.03/98.92 tff(437,plain,
% 154.03/98.92 (^[X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : refl(((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))) <=> ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))))),
% 154.03/98.92 inference(bind,[status(th)],[])).
% 154.03/98.92 tff(438,plain,
% 154.03/98.92 (![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))) <=> ![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))),
% 154.03/98.92 inference(quant_intro,[status(thm)],[437])).
% 154.03/98.92 tff(439,plain,
% 154.03/98.92 (^[X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160))) <=> (~((X158 = X160) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))))), ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) <=> (~(~((X158 = X160) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))))))), rewrite((~(~((X158 = X160) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))))) <=> ((X158 = X160) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))), ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) <=> ((X158 = X160) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))))), (((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156)) <=> (((X158 = X160) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))) | min_precedes(X158, X160, X156)))), rewrite((((X158 = X160) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156))) | min_precedes(X158, X160, X156)) <=> ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))), (((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156)) <=> ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))))),
% 154.03/98.92 inference(bind,[status(th)],[])).
% 154.03/98.92 tff(440,plain,
% 154.03/98.92 (![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156)) <=> ![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))),
% 154.03/98.92 inference(quant_intro,[status(thm)],[439])).
% 154.03/98.92 tff(441,plain,
% 154.03/98.92 (![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156)) <=> ![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156))),
% 154.03/98.92 inference(rewrite,[status(thm)],[])).
% 154.03/98.92 tff(442,plain,
% 154.03/98.92 (^[X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) <=> (occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157))), ((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) <=> ((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)))), rewrite(((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) <=> (occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157))), ((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) <=> (occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157)))), (((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) <=> ((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)))), rewrite(((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) <=> (occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156))), (((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) <=> (occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156)))), ((((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) & (~(X158 = X160))) <=> ((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156)) & (~(X158 = X160))))), rewrite(((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156)) & (~(X158 = X160))) <=> (occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))), ((((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) & (~(X158 = X160))) <=> (occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160))))), (((((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) & (~(X158 = X160))) => min_precedes(X158, X160, X156)) <=> ((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160))) => min_precedes(X158, X160, X156)))), rewrite(((occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160))) => min_precedes(X158, X160, X156)) <=> ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156))), (((((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) & (~(X158 = X160))) => min_precedes(X158, X160, X156)) <=> ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156))))),
% 154.03/98.92 inference(bind,[status(th)],[])).
% 154.03/98.92 tff(443,plain,
% 154.03/98.92 (![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) & (~(X158 = X160))) => min_precedes(X158, X160, X156)) <=> ![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156))),
% 154.03/98.92 inference(quant_intro,[status(thm)],[442])).
% 154.03/98.92 tff(444,axiom,(![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((((((occurrence_of(X157, X156) & root_occ(X159, X157)) & leaf_occ(X160, X157)) & subactivity_occurrence(X158, X157)) & min_precedes(X159, X158, X156)) & (~(X158 = X160))) => min_precedes(X158, X160, X156))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_48')).
% 154.03/98.92 tff(445,plain,
% 154.03/98.92 (![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156))),
% 154.03/98.92 inference(modus_ponens,[status(thm)],[444, 443])).
% 154.03/98.92 tff(446,plain,
% 154.03/98.92 (![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156))),
% 154.03/98.92 inference(modus_ponens,[status(thm)],[445, 441])).
% 154.03/98.92 tff(447,plain,(
% 154.03/98.92 ![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((~(occurrence_of(X157, X156) & root_occ(X159, X157) & leaf_occ(X160, X157) & subactivity_occurrence(X158, X157) & min_precedes(X159, X158, X156) & (~(X158 = X160)))) | min_precedes(X158, X160, X156))),
% 154.03/98.92 inference(skolemize,[status(sab)],[446])).
% 154.03/98.92 tff(448,plain,
% 154.03/98.92 (![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))),
% 154.03/98.92 inference(modus_ponens,[status(thm)],[447, 440])).
% 154.03/98.92 tff(449,plain,
% 154.03/98.92 (![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))),
% 154.03/98.92 inference(modus_ponens,[status(thm)],[448, 438])).
% 154.03/98.92 tff(450,plain,
% 154.03/98.92 (((~![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.92 inference(rewrite,[status(thm)],[])).
% 154.03/98.92 tff(451,plain,
% 154.03/98.92 (((tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.92 inference(rewrite,[status(thm)],[])).
% 154.03/98.92 tff(452,plain,
% 154.03/98.92 (((~![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))) | ((tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.93 inference(monotonicity,[status(thm)],[451])).
% 154.03/98.93 tff(453,plain,
% 154.03/98.93 (((~![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))) | ((tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.93 inference(transitivity,[status(thm)],[452, 450])).
% 154.03/98.93 tff(454,plain,
% 154.03/98.93 ((~![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))) | ((tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.93 inference(quant_inst,[status(thm)],[])).
% 154.03/98.93 tff(455,plain,
% 154.03/98.93 ((~![X156: $i, X157: $i, X158: $i, X159: $i, X160: $i] : ((X158 = X160) | min_precedes(X158, X160, X156) | (~root_occ(X159, X157)) | (~occurrence_of(X157, X156)) | (~leaf_occ(X160, X157)) | (~subactivity_occurrence(X158, X157)) | (~min_precedes(X159, X158, X156)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[454, 453])).
% 154.03/98.93 tff(456,plain,
% 154.03/98.93 (tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.93 inference(unit_resolution,[status(thm)],[455, 449, 334, 436, 375, 434, 429, 426])).
% 154.03/98.93 tff(457,plain,
% 154.03/98.93 (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.93 inference(symmetry,[status(thm)],[456])).
% 154.03/98.93 tff(458,plain,
% 154.03/98.93 (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.93 inference(transitivity,[status(thm)],[457, 256])).
% 154.03/98.93 tff(459,plain,
% 154.03/98.93 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0) <=> next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.93 inference(monotonicity,[status(thm)],[405, 458, 112])).
% 154.03/98.93 tff(460,plain,
% 154.03/98.93 (next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[416, 459])).
% 154.03/98.93 tff(461,plain,
% 154.03/98.93 (next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[460, 258])).
% 154.03/98.93 tff(462,plain,
% 154.03/98.93 (next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0)),
% 154.03/98.93 inference(monotonicity,[status(thm)],[256, 259])).
% 154.03/98.93 tff(463,plain,
% 154.03/98.93 (next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0) <=> next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.93 inference(symmetry,[status(thm)],[462])).
% 154.03/98.93 tff(464,plain,
% 154.03/98.93 (next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[287, 463])).
% 154.03/98.93 tff(465,plain,
% 154.03/98.93 (^[X126: $i, X127: $i, X128: $i, X129: $i] : refl(((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))) <=> ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))),
% 154.03/98.93 inference(bind,[status(th)],[])).
% 154.03/98.93 tff(466,plain,
% 154.03/98.93 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))) <=> ![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))),
% 154.03/98.93 inference(quant_intro,[status(thm)],[465])).
% 154.03/98.93 tff(467,plain,
% 154.03/98.93 (^[X126: $i, X127: $i, X128: $i, X129: $i] : trans(monotonicity(trans(monotonicity(rewrite((next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129)) <=> (~((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))), ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) <=> (~(~((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))))), rewrite((~(~((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))) <=> ((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))), ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) <=> ((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))), (((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)) <=> (((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))) | (X127 = X128)))), rewrite((((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))) | (X127 = X128)) <=> ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))), (((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)) <=> ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))))),
% 154.03/98.93 inference(bind,[status(th)],[])).
% 154.03/98.93 tff(468,plain,
% 154.03/98.93 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)) <=> ![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))),
% 154.03/98.93 inference(quant_intro,[status(thm)],[467])).
% 154.03/98.93 tff(469,plain,
% 154.03/98.93 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)) <=> ![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 154.03/98.93 inference(rewrite,[status(thm)],[])).
% 154.03/98.93 tff(470,plain,
% 154.03/98.93 (^[X126: $i, X127: $i, X128: $i, X129: $i] : rewrite(((next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129)) => (X127 = X128)) <=> ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)))),
% 154.03/98.93 inference(bind,[status(th)],[])).
% 154.03/98.93 tff(471,plain,
% 154.03/98.93 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129)) => (X127 = X128)) <=> ![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 154.03/98.93 inference(quant_intro,[status(thm)],[470])).
% 154.03/98.93 tff(472,axiom,(![X126: $i, X127: $i, X128: $i, X129: $i] : ((next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129)) => (X127 = X128))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_40')).
% 154.03/98.93 tff(473,plain,
% 154.03/98.93 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[472, 471])).
% 154.03/98.93 tff(474,plain,
% 154.03/98.93 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[473, 469])).
% 154.03/98.93 tff(475,plain,(
% 154.03/98.93 ![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 154.03/98.93 inference(skolemize,[status(sab)],[474])).
% 154.03/98.93 tff(476,plain,
% 154.03/98.93 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[475, 468])).
% 154.03/98.93 tff(477,plain,
% 154.03/98.93 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[476, 466])).
% 154.03/98.93 tff(478,plain,
% 154.03/98.93 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.93 inference(rewrite,[status(thm)],[])).
% 154.03/98.93 tff(479,plain,
% 154.03/98.93 ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.93 inference(quant_inst,[status(thm)],[])).
% 154.03/98.93 tff(480,plain,
% 154.03/98.93 ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[479, 478])).
% 154.03/98.93 tff(481,plain,
% 154.03/98.93 ((tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))) | (~next_subocc(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X147_15(tptp_fun_X104_14(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.93 inference(unit_resolution,[status(thm)],[480, 477, 464])).
% 154.03/98.93 tff(482,plain,
% 154.03/98.93 (tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.93 inference(unit_resolution,[status(thm)],[481, 461])).
% 154.03/98.93 tff(483,plain,
% 154.03/98.93 (root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0)) <=> root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.93 inference(monotonicity,[status(thm)],[482])).
% 154.03/98.93 tff(484,plain,
% 154.03/98.93 (((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)), tptp0))) | root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.93 inference(tautology,[status(thm)],[])).
% 154.03/98.93 tff(485,plain,
% 154.03/98.93 (root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.93 inference(unit_resolution,[status(thm)],[484, 151])).
% 154.03/98.93 tff(486,plain,
% 154.03/98.93 (root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[485, 483])).
% 154.03/98.93 tff(487,plain,
% 154.03/98.93 (root(X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> root(X194!23, tptp0)),
% 154.03/98.93 inference(monotonicity,[status(thm)],[259])).
% 154.03/98.93 tff(488,plain,
% 154.03/98.93 (root(X194!23, tptp0) <=> root(X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.93 inference(symmetry,[status(thm)],[487])).
% 154.03/98.93 tff(489,plain,
% 154.03/98.93 (root(X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[32, 488])).
% 154.03/98.93 tff(490,assumption,(![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))), introduced(assumption)).
% 154.03/98.93 tff(491,plain,
% 154.03/98.93 (((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp0)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0)))) | subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.93 inference(tautology,[status(thm)],[])).
% 154.03/98.93 tff(492,plain,
% 154.03/98.93 (subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.93 inference(unit_resolution,[status(thm)],[491, 52])).
% 154.03/98.93 tff(493,plain,
% 154.03/98.93 (((~![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))) | ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root(X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root(X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.93 inference(rewrite,[status(thm)],[])).
% 154.03/98.93 tff(494,plain,
% 154.03/98.93 ((~![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))) | ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root(X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.93 inference(quant_inst,[status(thm)],[])).
% 154.03/98.93 tff(495,plain,
% 154.03/98.93 ((~![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root(X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.93 inference(modus_ponens,[status(thm)],[494, 493])).
% 154.03/98.93 tff(496,plain,
% 154.03/98.93 ($false),
% 154.03/98.93 inference(unit_resolution,[status(thm)],[495, 492, 490, 92, 489])).
% 154.03/98.93 tff(497,plain,(~![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))), inference(lemma,lemma(discharge,[]))).
% 154.03/98.93 tff(498,plain,
% 154.03/98.93 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101))))))))),
% 154.03/98.93 inference(rewrite,[status(thm)],[])).
% 154.03/98.93 tff(499,plain,
% 154.03/98.93 ((~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~root(X194!23, X101))))))) <=> (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))))))),
% 154.03/98.93 inference(rewrite,[status(thm)],[])).
% 154.03/98.93 tff(500,plain,
% 154.03/98.93 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~root(X194!23, X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101))))))))),
% 154.03/98.93 inference(monotonicity,[status(thm)],[499])).
% 154.03/98.93 tff(501,plain,
% 154.03/98.93 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~root(X194!23, X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101))))))))),
% 154.03/98.94 inference(transitivity,[status(thm)],[500, 498])).
% 154.03/98.94 tff(502,plain,
% 154.03/98.94 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~root(X194!23, X101)))))))),
% 154.03/98.94 inference(quant_inst,[status(thm)],[])).
% 154.03/98.94 tff(503,plain,
% 154.03/98.94 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))))))),
% 154.03/98.94 inference(modus_ponens,[status(thm)],[502, 501])).
% 154.03/98.94 tff(504,plain,
% 154.03/98.94 (~((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101))))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[503, 363])).
% 154.03/98.94 tff(505,plain,
% 154.03/98.94 (((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))))) | (root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101))))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(506,plain,
% 154.03/98.94 (root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[505, 504])).
% 154.03/98.94 tff(507,plain,
% 154.03/98.94 ((~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101))))) | root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(508,plain,
% 154.03/98.94 (root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[507, 506])).
% 154.03/98.94 tff(509,plain,
% 154.03/98.94 (root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[508, 497])).
% 154.03/98.94 tff(510,plain,
% 154.03/98.94 (((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~(root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~root(X194!23, X101)))))) | ((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(511,plain,
% 154.03/98.94 ((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23)))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[510, 504])).
% 154.03/98.94 tff(512,plain,
% 154.03/98.94 ((~((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))))) | (~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23)))))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(513,plain,
% 154.03/98.94 ((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23)))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[512, 511])).
% 154.03/98.94 tff(514,plain,
% 154.03/98.94 (~((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[513, 509])).
% 154.03/98.94 tff(515,plain,
% 154.03/98.94 (((~subactivity_occurrence(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root(X194!23, tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23)))) | occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(516,plain,
% 154.03/98.94 (occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[515, 514])).
% 154.03/98.94 tff(517,plain,
% 154.03/98.94 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23))),
% 154.03/98.94 inference(rewrite,[status(thm)],[])).
% 154.03/98.94 tff(518,plain,
% 154.03/98.94 (((tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0)))) <=> ((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23))),
% 154.03/98.94 inference(rewrite,[status(thm)],[])).
% 154.03/98.94 tff(519,plain,
% 154.03/98.94 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23)))),
% 154.03/98.94 inference(monotonicity,[status(thm)],[518])).
% 154.03/98.94 tff(520,plain,
% 154.03/98.94 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23))),
% 154.03/98.94 inference(transitivity,[status(thm)],[519, 517])).
% 154.03/98.94 tff(521,plain,
% 154.03/98.94 ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(quant_inst,[status(thm)],[])).
% 154.03/98.94 tff(522,plain,
% 154.03/98.94 ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~root_occ(X194!23, tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), X194!23))) | (~root_occ(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23)),
% 154.03/98.94 inference(modus_ponens,[status(thm)],[521, 520])).
% 154.03/98.94 tff(523,plain,
% 154.03/98.94 (tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))) = X194!23),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[522, 398, 509, 516, 486])).
% 154.03/98.94 tff(524,plain,
% 154.03/98.94 (X194!23 = tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.94 inference(symmetry,[status(thm)],[523])).
% 154.03/98.94 tff(525,plain,
% 154.03/98.94 (tptp_fun_X75_10(X194!23, tptp0) = tptp_fun_X75_10(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.94 inference(monotonicity,[status(thm)],[524, 112])).
% 154.03/98.94 tff(526,plain,
% 154.03/98.94 (tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(monotonicity,[status(thm)],[525])).
% 154.03/98.94 tff(527,plain,
% 154.03/98.94 (tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.94 inference(symmetry,[status(thm)],[526])).
% 154.03/98.94 tff(528,plain,
% 154.03/98.94 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X101)))))))),
% 154.03/98.94 inference(quant_inst,[status(thm)],[])).
% 154.03/98.94 tff(529,plain,
% 154.03/98.94 (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X101))))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[528, 363])).
% 154.03/98.94 tff(530,plain,
% 154.03/98.94 (((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0)) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), X101)))))) | ((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(531,plain,
% 154.03/98.94 ((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[530, 529])).
% 154.03/98.94 tff(532,plain,
% 154.03/98.94 ((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(533,plain,
% 154.03/98.94 ((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[532, 485])).
% 154.03/98.94 tff(534,plain,
% 154.03/98.94 (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[533, 531])).
% 154.03/98.94 tff(535,plain,
% 154.03/98.94 (((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(536,plain,
% 154.03/98.94 (occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[535, 534])).
% 154.03/98.94 tff(537,plain,
% 154.03/98.94 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(rewrite,[status(thm)],[])).
% 154.03/98.94 tff(538,plain,
% 154.03/98.94 (((tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(rewrite,[status(thm)],[])).
% 154.03/98.94 tff(539,plain,
% 154.03/98.94 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.94 inference(monotonicity,[status(thm)],[538])).
% 154.03/98.94 tff(540,plain,
% 154.03/98.94 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(transitivity,[status(thm)],[539, 537])).
% 154.03/98.94 tff(541,plain,
% 154.03/98.94 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.94 inference(quant_inst,[status(thm)],[])).
% 154.03/98.94 tff(542,plain,
% 154.03/98.94 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.94 inference(modus_ponens,[status(thm)],[541, 540])).
% 154.03/98.94 tff(543,plain,
% 154.03/98.94 (tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[542, 105, 536, 92])).
% 154.03/98.94 tff(544,plain,
% 154.03/98.94 (tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X75_10(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.94 inference(monotonicity,[status(thm)],[482, 543])).
% 154.03/98.94 tff(545,plain,
% 154.03/98.94 (tptp_fun_X75_10(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(symmetry,[status(thm)],[544])).
% 154.03/98.94 tff(546,plain,
% 154.03/98.94 (tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.94 inference(monotonicity,[status(thm)],[545])).
% 154.03/98.94 tff(547,plain,
% 154.03/98.94 (tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X34_4(tptp0, tptp_fun_X163_16(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.94 inference(symmetry,[status(thm)],[546])).
% 154.03/98.94 tff(548,plain,
% 154.03/98.94 (tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) = X194!23),
% 154.03/98.94 inference(transitivity,[status(thm)],[547, 527, 482, 523])).
% 154.03/98.94 tff(549,plain,
% 154.03/98.94 (occurrence_of(X195!22, X193!24)),
% 154.03/98.94 inference(and_elim,[status(thm)],[9])).
% 154.03/98.94 tff(550,plain,
% 154.03/98.94 (((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | ((~occurrence_of(X195!22, X193!24)) | (~((~activity(X193!24)) | (~activity_occurrence(X195!22)))))) <=> ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | (~occurrence_of(X195!22, X193!24)) | (~((~activity(X193!24)) | (~activity_occurrence(X195!22)))))),
% 154.03/98.94 inference(rewrite,[status(thm)],[])).
% 154.03/98.94 tff(551,plain,
% 154.03/98.94 ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | ((~occurrence_of(X195!22, X193!24)) | (~((~activity(X193!24)) | (~activity_occurrence(X195!22)))))),
% 154.03/98.94 inference(quant_inst,[status(thm)],[])).
% 154.03/98.94 tff(552,plain,
% 154.03/98.94 ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | (~occurrence_of(X195!22, X193!24)) | (~((~activity(X193!24)) | (~activity_occurrence(X195!22))))),
% 154.03/98.94 inference(modus_ponens,[status(thm)],[551, 550])).
% 154.03/98.94 tff(553,plain,
% 154.03/98.94 (~((~activity(X193!24)) | (~activity_occurrence(X195!22)))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[552, 67, 549])).
% 154.03/98.94 tff(554,plain,
% 154.03/98.94 (((~activity(X193!24)) | (~activity_occurrence(X195!22))) | activity_occurrence(X195!22)),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(555,plain,
% 154.03/98.94 (activity_occurrence(X195!22)),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[554, 553])).
% 154.03/98.94 tff(556,plain,
% 154.03/98.94 (((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(X195!22)) | (~((~activity(tptp_fun_X3_0(X195!22))) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))))))) <=> ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(X195!22)) | (~((~activity(tptp_fun_X3_0(X195!22))) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))))))),
% 154.03/98.94 inference(rewrite,[status(thm)],[])).
% 154.03/98.94 tff(557,plain,
% 154.03/98.94 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(X195!22)) | (~((~activity(tptp_fun_X3_0(X195!22))) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))))))),
% 154.03/98.94 inference(quant_inst,[status(thm)],[])).
% 154.03/98.94 tff(558,plain,
% 154.03/98.94 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(X195!22)) | (~((~activity(tptp_fun_X3_0(X195!22))) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22)))))),
% 154.03/98.94 inference(modus_ponens,[status(thm)],[557, 556])).
% 154.03/98.94 tff(559,plain,
% 154.03/98.94 (~((~activity(tptp_fun_X3_0(X195!22))) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[558, 86, 555])).
% 154.03/98.94 tff(560,plain,
% 154.03/98.94 (((~activity(tptp_fun_X3_0(X195!22))) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22)))) | occurrence_of(X195!22, tptp_fun_X3_0(X195!22))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(561,plain,
% 154.03/98.94 (occurrence_of(X195!22, tptp_fun_X3_0(X195!22))),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[560, 559])).
% 154.03/98.94 tff(562,plain,
% 154.03/98.94 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (X193!24 = tptp_fun_X3_0(X195!22)))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (X193!24 = tptp_fun_X3_0(X195!22)))),
% 154.03/98.94 inference(rewrite,[status(thm)],[])).
% 154.03/98.94 tff(563,plain,
% 154.03/98.94 (((X193!24 = tptp_fun_X3_0(X195!22)) | (~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22)))) <=> ((~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (X193!24 = tptp_fun_X3_0(X195!22)))),
% 154.03/98.94 inference(rewrite,[status(thm)],[])).
% 154.03/98.94 tff(564,plain,
% 154.03/98.94 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((X193!24 = tptp_fun_X3_0(X195!22)) | (~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (X193!24 = tptp_fun_X3_0(X195!22))))),
% 154.03/98.94 inference(monotonicity,[status(thm)],[563])).
% 154.03/98.94 tff(565,plain,
% 154.03/98.94 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((X193!24 = tptp_fun_X3_0(X195!22)) | (~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (X193!24 = tptp_fun_X3_0(X195!22)))),
% 154.03/98.94 inference(transitivity,[status(thm)],[564, 562])).
% 154.03/98.94 tff(566,plain,
% 154.03/98.94 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((X193!24 = tptp_fun_X3_0(X195!22)) | (~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))))),
% 154.03/98.94 inference(quant_inst,[status(thm)],[])).
% 154.03/98.94 tff(567,plain,
% 154.03/98.94 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(X195!22, X193!24)) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (X193!24 = tptp_fun_X3_0(X195!22))),
% 154.03/98.94 inference(modus_ponens,[status(thm)],[566, 565])).
% 154.03/98.94 tff(568,plain,
% 154.03/98.94 (X193!24 = tptp_fun_X3_0(X195!22)),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[567, 105, 549, 561])).
% 154.03/98.94 tff(569,plain,
% 154.03/98.94 (tptp_fun_X3_0(X195!22) = X193!24),
% 154.03/98.94 inference(symmetry,[status(thm)],[568])).
% 154.03/98.94 tff(570,plain,
% 154.03/98.94 (root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)) <=> root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)),
% 154.03/98.94 inference(monotonicity,[status(thm)],[569])).
% 154.03/98.94 tff(571,plain,
% 154.03/98.94 (root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24) <=> root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))),
% 154.03/98.94 inference(symmetry,[status(thm)],[570])).
% 154.03/98.94 tff(572,plain,
% 154.03/98.94 ((atomic(tptp0) | atomic(X193!24) | (~activity(X193!24)) | (~root(X194!23, tptp0))) | (~atomic(X193!24))),
% 154.03/98.94 inference(tautology,[status(thm)],[])).
% 154.03/98.94 tff(573,plain,
% 154.03/98.94 (~atomic(X193!24)),
% 154.03/98.94 inference(unit_resolution,[status(thm)],[572, 30])).
% 154.03/98.95 tff(574,plain,
% 154.03/98.95 (^[X76: $i, X77: $i] : refl((atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))) <=> (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))))),
% 154.03/98.95 inference(bind,[status(th)],[])).
% 154.03/98.95 tff(575,plain,
% 154.03/98.95 (![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))) <=> ![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))),
% 154.03/98.95 inference(quant_intro,[status(thm)],[574])).
% 154.03/98.95 tff(576,plain,
% 154.03/98.95 (^[X76: $i, X77: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X77, X76) & (~atomic(X76))) <=> (~(atomic(X76) | (~occurrence_of(X77, X76))))), ((~(occurrence_of(X77, X76) & (~atomic(X76)))) <=> (~(~(atomic(X76) | (~occurrence_of(X77, X76))))))), rewrite((~(~(atomic(X76) | (~occurrence_of(X77, X76))))) <=> (atomic(X76) | (~occurrence_of(X77, X76)))), ((~(occurrence_of(X77, X76) & (~atomic(X76)))) <=> (atomic(X76) | (~occurrence_of(X77, X76))))), rewrite((root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)) <=> (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))), (((~(occurrence_of(X77, X76) & (~atomic(X76)))) | (root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))) <=> ((atomic(X76) | (~occurrence_of(X77, X76))) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))))), rewrite(((atomic(X76) | (~occurrence_of(X77, X76))) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))) <=> (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))), (((~(occurrence_of(X77, X76) & (~atomic(X76)))) | (root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))) <=> (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))))),
% 154.03/98.95 inference(bind,[status(th)],[])).
% 154.03/98.95 tff(577,plain,
% 154.03/98.95 (![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | (root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))) <=> ![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))),
% 154.03/98.95 inference(quant_intro,[status(thm)],[576])).
% 154.03/98.95 tff(578,plain,
% 154.03/98.95 (![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77))) <=> ![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(579,plain,
% 154.03/98.95 (^[X76: $i, X77: $i] : rewrite(((occurrence_of(X77, X76) & (~atomic(X76))) => ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77))) <=> ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77))))),
% 154.03/98.95 inference(bind,[status(th)],[])).
% 154.03/98.95 tff(580,plain,
% 154.03/98.95 (![X76: $i, X77: $i] : ((occurrence_of(X77, X76) & (~atomic(X76))) => ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77))) <=> ![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))),
% 154.03/98.95 inference(quant_intro,[status(thm)],[579])).
% 154.03/98.95 tff(581,axiom,(![X76: $i, X77: $i] : ((occurrence_of(X77, X76) & (~atomic(X76))) => ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_27')).
% 154.03/98.95 tff(582,plain,
% 154.03/98.95 (![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[581, 580])).
% 154.03/98.95 tff(583,plain,
% 154.03/98.95 (![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[582, 578])).
% 154.03/98.95 tff(584,plain,(
% 154.03/98.95 ![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | (root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))),
% 154.03/98.95 inference(skolemize,[status(sab)],[583])).
% 154.03/98.95 tff(585,plain,
% 154.03/98.95 (![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[584, 577])).
% 154.03/98.95 tff(586,plain,
% 154.03/98.95 (![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[585, 575])).
% 154.03/98.95 tff(587,plain,
% 154.03/98.95 (((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | (atomic(X193!24) | (~occurrence_of(X195!22, X193!24)) | (~((~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), X195!22)))))) <=> ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | atomic(X193!24) | (~occurrence_of(X195!22, X193!24)) | (~((~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), X195!22)))))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(588,plain,
% 154.03/98.95 ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | (atomic(X193!24) | (~occurrence_of(X195!22, X193!24)) | (~((~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), X195!22)))))),
% 154.03/98.95 inference(quant_inst,[status(thm)],[])).
% 154.03/98.95 tff(589,plain,
% 154.03/98.95 ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | atomic(X193!24) | (~occurrence_of(X195!22, X193!24)) | (~((~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), X195!22))))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[588, 587])).
% 154.03/98.95 tff(590,plain,
% 154.03/98.95 (atomic(X193!24) | (~((~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), X195!22))))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[589, 586, 549])).
% 154.03/98.95 tff(591,plain,
% 154.03/98.95 (~((~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), X195!22)))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[590, 573])).
% 154.03/98.95 tff(592,plain,
% 154.03/98.95 (((~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), X195!22))) | root(tptp_fun_X78_11(X195!22, X193!24), X193!24)),
% 154.03/98.95 inference(tautology,[status(thm)],[])).
% 154.03/98.95 tff(593,plain,
% 154.03/98.95 (root(tptp_fun_X78_11(X195!22, X193!24), X193!24)),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[592, 591])).
% 154.03/98.95 tff(594,plain,
% 154.03/98.95 (((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(X193!24) | (~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24))))))) <=> ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(X193!24) | (~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24))))))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(595,plain,
% 154.03/98.95 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(X193!24) | (~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24))))))),
% 154.03/98.95 inference(quant_inst,[status(thm)],[])).
% 154.03/98.95 tff(596,plain,
% 154.03/98.95 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(X193!24) | (~root(tptp_fun_X78_11(X195!22, X193!24), X193!24)) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24)))))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[595, 594])).
% 154.03/98.95 tff(597,plain,
% 154.03/98.95 (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24))))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[596, 48, 573, 593])).
% 154.03/98.95 tff(598,plain,
% 154.03/98.95 (((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(X195!22, X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24)))) | occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)),
% 154.03/98.95 inference(tautology,[status(thm)],[])).
% 154.03/98.95 tff(599,plain,
% 154.03/98.95 (occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[598, 597])).
% 154.03/98.95 tff(600,plain,
% 154.03/98.95 (((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | (atomic(X193!24) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24))))))) <=> ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | atomic(X193!24) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24))))))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(601,plain,
% 154.03/98.95 ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | (atomic(X193!24) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24))))))),
% 154.03/98.95 inference(quant_inst,[status(thm)],[])).
% 154.03/98.95 tff(602,plain,
% 154.03/98.95 ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | atomic(X193!24) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24)) | (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24)))))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[601, 600])).
% 154.03/98.95 tff(603,plain,
% 154.03/98.95 (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24))))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[602, 586, 573, 599])).
% 154.03/98.95 tff(604,plain,
% 154.03/98.95 (((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24)))) | root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)),
% 154.03/98.95 inference(tautology,[status(thm)],[])).
% 154.03/98.95 tff(605,plain,
% 154.03/98.95 (root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), X193!24)),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[604, 603])).
% 154.03/98.95 tff(606,plain,
% 154.03/98.95 (root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[605, 571])).
% 154.03/98.95 tff(607,plain,
% 154.03/98.95 (((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (arboreal(X195!22) <=> atomic(tptp_fun_X3_0(X195!22))))) <=> ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (arboreal(X195!22) <=> atomic(tptp_fun_X3_0(X195!22))))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(608,plain,
% 154.03/98.95 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (arboreal(X195!22) <=> atomic(tptp_fun_X3_0(X195!22))))),
% 154.03/98.95 inference(quant_inst,[status(thm)],[])).
% 154.03/98.95 tff(609,plain,
% 154.03/98.95 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(X195!22, tptp_fun_X3_0(X195!22))) | (arboreal(X195!22) <=> atomic(tptp_fun_X3_0(X195!22)))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[608, 607])).
% 154.03/98.95 tff(610,plain,
% 154.03/98.95 (arboreal(X195!22) <=> atomic(tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[609, 178, 561])).
% 154.03/98.95 tff(611,plain,
% 154.03/98.95 (((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(X195!22, X193!24)) | (arboreal(X195!22) <=> atomic(X193!24)))) <=> ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(X195!22, X193!24)) | (arboreal(X195!22) <=> atomic(X193!24)))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(612,plain,
% 154.03/98.95 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(X195!22, X193!24)) | (arboreal(X195!22) <=> atomic(X193!24)))),
% 154.03/98.95 inference(quant_inst,[status(thm)],[])).
% 154.03/98.95 tff(613,plain,
% 154.03/98.95 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(X195!22, X193!24)) | (arboreal(X195!22) <=> atomic(X193!24))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[612, 611])).
% 154.03/98.95 tff(614,plain,
% 154.03/98.95 (arboreal(X195!22) <=> atomic(X193!24)),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[613, 178, 549])).
% 154.03/98.95 tff(615,plain,
% 154.03/98.95 ((~(arboreal(X195!22) <=> atomic(X193!24))) | (~arboreal(X195!22)) | atomic(X193!24)),
% 154.03/98.95 inference(tautology,[status(thm)],[])).
% 154.03/98.95 tff(616,plain,
% 154.03/98.95 (~arboreal(X195!22)),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[615, 573, 614])).
% 154.03/98.95 tff(617,plain,
% 154.03/98.95 ((~(arboreal(X195!22) <=> atomic(tptp_fun_X3_0(X195!22)))) | arboreal(X195!22) | (~atomic(tptp_fun_X3_0(X195!22)))),
% 154.03/98.95 inference(tautology,[status(thm)],[])).
% 154.03/98.95 tff(618,plain,
% 154.03/98.95 ((~(arboreal(X195!22) <=> atomic(tptp_fun_X3_0(X195!22)))) | (~atomic(tptp_fun_X3_0(X195!22)))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[617, 616])).
% 154.03/98.95 tff(619,plain,
% 154.03/98.95 (~atomic(tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[618, 610])).
% 154.03/98.95 tff(620,plain,
% 154.03/98.95 (((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(tptp_fun_X3_0(X195!22)) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))))))) <=> ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(tptp_fun_X3_0(X195!22)) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))))))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(621,plain,
% 154.03/98.95 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(tptp_fun_X3_0(X195!22)) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))))))),
% 154.03/98.95 inference(quant_inst,[status(thm)],[])).
% 154.03/98.95 tff(622,plain,
% 154.03/98.95 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(tptp_fun_X3_0(X195!22)) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))))))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[621, 620])).
% 154.03/98.95 tff(623,plain,
% 154.03/98.95 ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))))))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[622, 48, 619])).
% 154.03/98.95 tff(624,plain,
% 154.03/98.95 (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[623, 606])).
% 154.03/98.95 tff(625,plain,
% 154.03/98.95 (((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))))) | occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(tautology,[status(thm)],[])).
% 154.03/98.95 tff(626,plain,
% 154.03/98.95 (occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[625, 624])).
% 154.03/98.95 tff(627,plain,
% 154.03/98.95 (((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | (atomic(tptp_fun_X3_0(X195!22)) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))))))) <=> ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | atomic(tptp_fun_X3_0(X195!22)) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))))))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(628,plain,
% 154.03/98.95 ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | (atomic(tptp_fun_X3_0(X195!22)) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))))))),
% 154.03/98.95 inference(quant_inst,[status(thm)],[])).
% 154.03/98.95 tff(629,plain,
% 154.03/98.95 ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | atomic(tptp_fun_X3_0(X195!22)) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))))))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[628, 627])).
% 154.03/98.95 tff(630,plain,
% 154.03/98.95 (~((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[629, 586, 619, 626])).
% 154.03/98.95 tff(631,plain,
% 154.03/98.95 (((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))))) | root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(tautology,[status(thm)],[])).
% 154.03/98.95 tff(632,plain,
% 154.03/98.95 (root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[631, 630])).
% 154.03/98.95 tff(633,plain,
% 154.03/98.95 (((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(tptp_fun_X3_0(X195!22)) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))) <=> ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(tptp_fun_X3_0(X195!22)) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(634,plain,
% 154.03/98.95 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(tptp_fun_X3_0(X195!22)) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))),
% 154.03/98.95 inference(quant_inst,[status(thm)],[])).
% 154.03/98.95 tff(635,plain,
% 154.03/98.95 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(tptp_fun_X3_0(X195!22)) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[634, 633])).
% 154.03/98.95 tff(636,plain,
% 154.03/98.95 (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[635, 48, 619, 632])).
% 154.03/98.95 tff(637,plain,
% 154.03/98.95 (((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(tautology,[status(thm)],[])).
% 154.03/98.95 tff(638,plain,
% 154.03/98.95 (occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))),
% 154.03/98.95 inference(unit_resolution,[status(thm)],[637, 636])).
% 154.03/98.95 tff(639,plain,
% 154.03/98.95 (tptp1(tptp_fun_X3_0(X195!22), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), X194!23) <=> tptp1(X193!24, tptp0, X194!23)),
% 154.03/98.95 inference(monotonicity,[status(thm)],[569, 259])).
% 154.03/98.95 tff(640,plain,
% 154.03/98.95 (tptp1(X193!24, tptp0, X194!23) <=> tptp1(tptp_fun_X3_0(X195!22), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), X194!23)),
% 154.03/98.95 inference(symmetry,[status(thm)],[639])).
% 154.03/98.95 tff(641,plain,
% 154.03/98.95 (tptp1(tptp_fun_X3_0(X195!22), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), X194!23)),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[10, 640])).
% 154.03/98.95 tff(642,plain,
% 154.03/98.95 (^[X183: $i, X184: $i, X185: $i, X186: $i] : refl(((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186))))) <=> ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186))))))),
% 154.03/98.95 inference(bind,[status(th)],[])).
% 154.03/98.95 tff(643,plain,
% 154.03/98.95 (![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186))))) <=> ![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))),
% 154.03/98.95 inference(quant_intro,[status(thm)],[642])).
% 154.03/98.95 tff(644,plain,
% 154.03/98.95 (^[X183: $i, X184: $i, X185: $i, X186: $i] : trans(monotonicity(trans(monotonicity(rewrite((tptp1(X183, X184, X185) & occurrence_of(X186, X183)) <=> (~((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183))))), ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) <=> (~(~((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183))))))), rewrite((~(~((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183))))) <=> ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)))), ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) <=> ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183))))), rewrite((send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184) & occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184)) & root_occ(tptp_fun_X190_18(X186, X185, X184), X186)) <=> (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186))))), (((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | (send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184) & occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184)) & root_occ(tptp_fun_X190_18(X186, X185, X184), X186))) <=> (((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183))) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186))))))), rewrite((((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183))) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186))))) <=> ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))), (((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | (send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184) & occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184)) & root_occ(tptp_fun_X190_18(X186, X185, X184), X186))) <=> ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))))),
% 154.03/98.95 inference(bind,[status(th)],[])).
% 154.03/98.95 tff(645,plain,
% 154.03/98.95 (![X183: $i, X184: $i, X185: $i, X186: $i] : ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | (send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184) & occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184)) & root_occ(tptp_fun_X190_18(X186, X185, X184), X186))) <=> ![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))),
% 154.03/98.95 inference(quant_intro,[status(thm)],[644])).
% 154.03/98.95 tff(646,plain,
% 154.03/98.95 (![X183: $i, X184: $i, X185: $i, X186: $i] : ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186))) <=> ![X183: $i, X184: $i, X185: $i, X186: $i] : ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186)))),
% 154.03/98.95 inference(rewrite,[status(thm)],[])).
% 154.03/98.95 tff(647,plain,
% 154.03/98.95 (^[X183: $i, X184: $i, X185: $i, X186: $i] : trans(monotonicity(quant_intro(proof_bind(^[X187: $i, X188: $i, X189: $i, X190: $i] : rewrite(((send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187)) & root_occ(X190, X186)) <=> (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186)))), (?[X187: $i, X188: $i, X189: $i, X190: $i] : ((send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187)) & root_occ(X190, X186)) <=> ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186)))), (((tptp1(X183, X184, X185) & occurrence_of(X186, X183)) => ?[X187: $i, X188: $i, X189: $i, X190: $i] : ((send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187)) & root_occ(X190, X186))) <=> ((tptp1(X183, X184, X185) & occurrence_of(X186, X183)) => ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186))))), rewrite(((tptp1(X183, X184, X185) & occurrence_of(X186, X183)) => ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186))) <=> ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186)))), (((tptp1(X183, X184, X185) & occurrence_of(X186, X183)) => ?[X187: $i, X188: $i, X189: $i, X190: $i] : ((send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187)) & root_occ(X190, X186))) <=> ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186)))))),
% 154.03/98.95 inference(bind,[status(th)],[])).
% 154.03/98.95 tff(648,plain,
% 154.03/98.95 (![X183: $i, X184: $i, X185: $i, X186: $i] : ((tptp1(X183, X184, X185) & occurrence_of(X186, X183)) => ?[X187: $i, X188: $i, X189: $i, X190: $i] : ((send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187)) & root_occ(X190, X186))) <=> ![X183: $i, X184: $i, X185: $i, X186: $i] : ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186)))),
% 154.03/98.95 inference(quant_intro,[status(thm)],[647])).
% 154.03/98.95 tff(649,axiom,(![X183: $i, X184: $i, X185: $i, X186: $i] : ((tptp1(X183, X184, X185) & occurrence_of(X186, X183)) => ?[X187: $i, X188: $i, X189: $i, X190: $i] : ((send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187)) & root_occ(X190, X186)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_66')).
% 154.03/98.95 tff(650,plain,
% 154.03/98.95 (![X183: $i, X184: $i, X185: $i, X186: $i] : ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186)))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[649, 648])).
% 154.03/98.95 tff(651,plain,
% 154.03/98.95 (![X183: $i, X184: $i, X185: $i, X186: $i] : ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | ?[X187: $i, X188: $i, X189: $i, X190: $i] : (send_message(X187, X188, X189, X185, X184) & occurrence_of(X190, X187) & root_occ(X190, X186)))),
% 154.03/98.95 inference(modus_ponens,[status(thm)],[650, 646])).
% 154.03/98.96 tff(652,plain,(
% 154.03/98.96 ![X183: $i, X184: $i, X185: $i, X186: $i] : ((~(tptp1(X183, X184, X185) & occurrence_of(X186, X183))) | (send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184) & occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184)) & root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))),
% 154.03/98.96 inference(skolemize,[status(sab)],[651])).
% 154.03/98.96 tff(653,plain,
% 154.03/98.96 (![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))),
% 154.03/98.96 inference(modus_ponens,[status(thm)],[652, 645])).
% 154.03/98.96 tff(654,plain,
% 154.03/98.96 (![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))),
% 154.03/98.96 inference(modus_ponens,[status(thm)],[653, 643])).
% 154.03/98.96 tff(655,plain,
% 154.03/98.96 (((~![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))) | ((~tptp1(tptp_fun_X3_0(X195!22), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), X194!23)) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))) <=> ((~![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))) | (~tptp1(tptp_fun_X3_0(X195!22), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), X194!23)) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))),
% 154.03/98.96 inference(rewrite,[status(thm)],[])).
% 154.03/98.96 tff(656,plain,
% 154.03/98.96 ((~![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))) | ((~tptp1(tptp_fun_X3_0(X195!22), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), X194!23)) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))),
% 154.03/98.96 inference(quant_inst,[status(thm)],[])).
% 154.03/98.96 tff(657,plain,
% 154.03/98.96 ((~![X183: $i, X184: $i, X185: $i, X186: $i] : ((~tptp1(X183, X184, X185)) | (~occurrence_of(X186, X183)) | (~((~send_message(tptp_fun_X187_21(X186, X185, X184), tptp_fun_X188_20(X186, X185, X184), tptp_fun_X189_19(X186, X185, X184), X185, X184)) | (~occurrence_of(tptp_fun_X190_18(X186, X185, X184), tptp_fun_X187_21(X186, X185, X184))) | (~root_occ(tptp_fun_X190_18(X186, X185, X184), X186)))))) | (~tptp1(tptp_fun_X3_0(X195!22), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), X194!23)) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))),
% 154.03/98.96 inference(modus_ponens,[status(thm)],[656, 655])).
% 154.03/98.96 tff(658,plain,
% 154.03/98.96 (~((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.03/98.96 inference(unit_resolution,[status(thm)],[657, 654, 641, 638])).
% 154.03/98.96 tff(659,plain,
% 154.03/98.96 (((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.96 inference(tautology,[status(thm)],[])).
% 154.03/98.96 tff(660,plain,
% 154.03/98.96 (occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.96 inference(unit_resolution,[status(thm)],[659, 658])).
% 154.03/98.96 tff(661,plain,
% 154.03/98.96 (((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | ((~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~activity(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))) <=> ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~activity(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.03/98.96 inference(rewrite,[status(thm)],[])).
% 154.03/98.96 tff(662,plain,
% 154.03/98.96 ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | ((~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~activity(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.03/98.96 inference(quant_inst,[status(thm)],[])).
% 154.03/98.96 tff(663,plain,
% 154.03/98.96 ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~activity(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.96 inference(modus_ponens,[status(thm)],[662, 661])).
% 154.03/98.96 tff(664,plain,
% 154.03/98.96 (~((~activity(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.96 inference(unit_resolution,[status(thm)],[663, 67, 660])).
% 154.03/98.96 tff(665,plain,
% 154.03/98.96 (((~activity(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.96 inference(tautology,[status(thm)],[])).
% 154.03/98.96 tff(666,plain,
% 154.03/98.96 (activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.96 inference(unit_resolution,[status(thm)],[665, 664])).
% 154.03/98.96 tff(667,plain,
% 154.03/98.96 (((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))) <=> ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.03/98.96 inference(rewrite,[status(thm)],[])).
% 154.03/98.96 tff(668,plain,
% 154.03/98.96 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.03/98.96 inference(quant_inst,[status(thm)],[])).
% 154.03/98.96 tff(669,plain,
% 154.03/98.96 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.03/98.96 inference(modus_ponens,[status(thm)],[668, 667])).
% 154.03/98.96 tff(670,plain,
% 154.03/98.96 (~((~activity(tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.96 inference(unit_resolution,[status(thm)],[669, 86, 666])).
% 154.03/98.96 tff(671,plain,
% 154.03/98.96 (((~activity(tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) | occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.96 inference(tautology,[status(thm)],[])).
% 154.03/98.96 tff(672,plain,
% 154.03/98.96 (occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.96 inference(unit_resolution,[status(thm)],[671, 670])).
% 154.03/98.96 tff(673,plain,
% 154.03/98.96 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.97 inference(rewrite,[status(thm)],[])).
% 154.03/98.97 tff(674,plain,
% 154.03/98.97 (((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.97 inference(rewrite,[status(thm)],[])).
% 154.03/98.97 tff(675,plain,
% 154.03/98.97 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.97 inference(monotonicity,[status(thm)],[674])).
% 154.03/98.97 tff(676,plain,
% 154.03/98.97 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.03/98.97 inference(transitivity,[status(thm)],[675, 673])).
% 154.03/98.97 tff(677,plain,
% 154.03/98.97 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.03/98.97 inference(quant_inst,[status(thm)],[])).
% 154.03/98.97 tff(678,plain,
% 154.03/98.97 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.03/98.97 inference(modus_ponens,[status(thm)],[677, 676])).
% 154.03/98.97 tff(679,plain,
% 154.03/98.97 (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.03/98.97 inference(unit_resolution,[status(thm)],[678, 105, 660, 672])).
% 154.03/98.97 tff(680,plain,
% 154.03/98.97 (tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.03/98.97 inference(symmetry,[status(thm)],[679])).
% 154.03/98.97 tff(681,assumption,(![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))), introduced(assumption)).
% 154.03/98.97 tff(682,plain,
% 154.03/98.97 (((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.03/98.97 inference(tautology,[status(thm)],[])).
% 154.03/98.97 tff(683,plain,
% 154.03/98.97 (subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.03/98.97 inference(unit_resolution,[status(thm)],[682, 636])).
% 154.03/98.97 tff(684,plain,
% 154.03/98.97 (((~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))) | ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))) <=> ((~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.03/98.97 inference(rewrite,[status(thm)],[])).
% 154.03/98.97 tff(685,plain,
% 154.03/98.97 (((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) <=> ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.03/98.97 inference(rewrite,[status(thm)],[])).
% 154.03/98.97 tff(686,plain,
% 154.03/98.97 (((~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))) | ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) <=> ((~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))) | ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))),
% 154.03/98.97 inference(monotonicity,[status(thm)],[685])).
% 154.03/98.97 tff(687,plain,
% 154.03/98.97 (((~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))) | ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) <=> ((~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.03/98.97 inference(transitivity,[status(thm)],[686, 684])).
% 154.03/98.97 tff(688,plain,
% 154.03/98.97 ((~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))) | ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.03/98.97 inference(quant_inst,[status(thm)],[])).
% 154.03/98.97 tff(689,plain,
% 154.03/98.97 ((~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.03/98.97 inference(modus_ponens,[status(thm)],[688, 687])).
% 154.03/98.97 tff(690,plain,
% 154.03/98.97 ($false),
% 154.03/98.97 inference(unit_resolution,[status(thm)],[689, 632, 638, 683, 681])).
% 154.03/98.97 tff(691,plain,(~![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))), inference(lemma,lemma(discharge,[]))).
% 154.03/98.97 tff(692,plain,
% 154.03/98.97 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101))))))))),
% 154.03/98.98 inference(rewrite,[status(thm)],[])).
% 154.03/98.98 tff(693,plain,
% 154.03/98.98 ((~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101))))))) <=> (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))))))),
% 154.03/98.98 inference(rewrite,[status(thm)],[])).
% 154.03/98.98 tff(694,plain,
% 154.03/98.98 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101))))))))),
% 154.03/98.98 inference(monotonicity,[status(thm)],[693])).
% 154.03/98.98 tff(695,plain,
% 154.03/98.98 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101))))))))),
% 154.13/98.98 inference(transitivity,[status(thm)],[694, 692])).
% 154.13/98.98 tff(696,plain,
% 154.13/98.98 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))))))),
% 154.13/98.98 inference(quant_inst,[status(thm)],[])).
% 154.13/98.98 tff(697,plain,
% 154.13/98.98 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))))))),
% 154.13/98.98 inference(modus_ponens,[status(thm)],[696, 695])).
% 154.13/98.98 tff(698,plain,
% 154.13/98.98 (~((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101))))))),
% 154.13/98.98 inference(unit_resolution,[status(thm)],[697, 363])).
% 154.13/98.98 tff(699,plain,
% 154.13/98.98 (((~((~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) | (~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))))) | (root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101))))),
% 154.13/98.99 inference(tautology,[status(thm)],[])).
% 154.13/98.99 tff(700,plain,
% 154.13/98.99 (root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))),
% 154.13/98.99 inference(unit_resolution,[status(thm)],[699, 698])).
% 154.13/98.99 tff(701,plain,
% 154.13/98.99 ((~(root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101))))) | root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))),
% 154.13/98.99 inference(tautology,[status(thm)],[])).
% 154.13/98.99 tff(702,plain,
% 154.13/98.99 (root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | ![X101: $i] : ((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X101)))),
% 154.13/98.99 inference(unit_resolution,[status(thm)],[701, 700])).
% 154.13/98.99 tff(703,plain,
% 154.13/98.99 (root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.13/98.99 inference(unit_resolution,[status(thm)],[702, 691])).
% 154.13/98.99 tff(704,plain,
% 154.13/98.99 (((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.13/98.99 inference(tautology,[status(thm)],[])).
% 154.13/98.99 tff(705,plain,
% 154.13/98.99 (root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.13/98.99 inference(unit_resolution,[status(thm)],[704, 658])).
% 154.13/98.99 tff(706,plain,
% 154.13/98.99 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.13/98.99 inference(rewrite,[status(thm)],[])).
% 154.13/98.99 tff(707,plain,
% 154.13/98.99 (((tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) <=> ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.13/98.99 inference(rewrite,[status(thm)],[])).
% 154.13/98.99 tff(708,plain,
% 154.13/98.99 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.13/98.99 inference(monotonicity,[status(thm)],[707])).
% 154.13/98.99 tff(709,plain,
% 154.13/98.99 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.13/98.99 inference(transitivity,[status(thm)],[708, 706])).
% 154.13/98.99 tff(710,plain,
% 154.13/98.99 ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.13/98.99 inference(quant_inst,[status(thm)],[])).
% 154.13/98.99 tff(711,plain,
% 154.13/98.99 ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~root_occ(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.13/98.99 inference(modus_ponens,[status(thm)],[710, 709])).
% 154.13/98.99 tff(712,plain,
% 154.13/98.99 (tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))),
% 154.13/98.99 inference(unit_resolution,[status(thm)],[711, 398, 638, 705, 703])).
% 154.13/98.99 tff(713,plain,
% 154.13/98.99 (tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.13/98.99 inference(monotonicity,[status(thm)],[712])).
% 154.13/98.99 tff(714,plain,
% 154.13/98.99 (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp_fun_X3_0(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.13/98.99 inference(symmetry,[status(thm)],[713])).
% 154.13/98.99 tff(715,plain,
% 154.13/98.99 (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.13/98.99 inference(transitivity,[status(thm)],[714, 680])).
% 154.13/98.99 tff(716,plain,
% 154.13/98.99 (send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.13/99.00 inference(monotonicity,[status(thm)],[715, 548])).
% 154.13/99.00 tff(717,plain,
% 154.13/99.00 (send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.13/99.00 inference(symmetry,[status(thm)],[716])).
% 154.13/99.00 tff(718,plain,
% 154.13/99.00 (((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X190_18(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.14/99.00 inference(tautology,[status(thm)],[])).
% 154.14/99.00 tff(719,plain,
% 154.14/99.00 (send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.14/99.00 inference(unit_resolution,[status(thm)],[718, 658])).
% 154.14/99.00 tff(720,plain,
% 154.14/99.00 (send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[719, 717])).
% 154.14/99.00 tff(721,plain,
% 154.14/99.00 (((~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22))))) | subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))),
% 154.14/99.00 inference(tautology,[status(thm)],[])).
% 154.14/99.00 tff(722,plain,
% 154.14/99.00 (subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))),
% 154.14/99.00 inference(unit_resolution,[status(thm)],[721, 630])).
% 154.14/99.00 tff(723,plain,
% 154.14/99.00 (^[X67: $i, X68: $i] : refl(((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67))))) <=> ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67))))))),
% 154.14/99.00 inference(bind,[status(th)],[])).
% 154.14/99.00 tff(724,plain,
% 154.14/99.00 (![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67))))) <=> ![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67)))))),
% 154.14/99.00 inference(quant_intro,[status(thm)],[723])).
% 154.14/99.00 tff(725,plain,
% 154.14/99.00 (^[X67: $i, X68: $i] : rewrite(((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68))) <=> ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67))))))),
% 154.14/99.00 inference(bind,[status(th)],[])).
% 154.14/99.00 tff(726,plain,
% 154.14/99.00 (![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68))) <=> ![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67)))))),
% 154.14/99.00 inference(quant_intro,[status(thm)],[725])).
% 154.14/99.00 tff(727,plain,
% 154.14/99.00 (![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68))) <=> ![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68)))),
% 154.14/99.00 inference(rewrite,[status(thm)],[])).
% 154.14/99.00 tff(728,plain,
% 154.14/99.00 (^[X67: $i, X68: $i] : rewrite((subactivity_occurrence(X67, X68) => (activity_occurrence(X67) & activity_occurrence(X68))) <=> ((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68))))),
% 154.14/99.00 inference(bind,[status(th)],[])).
% 154.14/99.00 tff(729,plain,
% 154.14/99.00 (![X67: $i, X68: $i] : (subactivity_occurrence(X67, X68) => (activity_occurrence(X67) & activity_occurrence(X68))) <=> ![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68)))),
% 154.14/99.00 inference(quant_intro,[status(thm)],[728])).
% 154.14/99.00 tff(730,axiom,(![X67: $i, X68: $i] : (subactivity_occurrence(X67, X68) => (activity_occurrence(X67) & activity_occurrence(X68)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_24')).
% 154.14/99.00 tff(731,plain,
% 154.14/99.00 (![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68)))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[730, 729])).
% 154.14/99.00 tff(732,plain,
% 154.14/99.00 (![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68)))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[731, 727])).
% 154.14/99.00 tff(733,plain,(
% 154.14/99.00 ![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (activity_occurrence(X67) & activity_occurrence(X68)))),
% 154.14/99.00 inference(skolemize,[status(sab)],[732])).
% 154.14/99.00 tff(734,plain,
% 154.14/99.00 (![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67)))))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[733, 726])).
% 154.14/99.00 tff(735,plain,
% 154.14/99.00 (![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67)))))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[734, 724])).
% 154.14/99.00 tff(736,plain,
% 154.14/99.00 (((~![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67)))))) | ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~((~activity_occurrence(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))) <=> ((~![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67)))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~((~activity_occurrence(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))),
% 154.14/99.00 inference(rewrite,[status(thm)],[])).
% 154.14/99.00 tff(737,plain,
% 154.14/99.00 ((~![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67)))))) | ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~((~activity_occurrence(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))),
% 154.14/99.00 inference(quant_inst,[status(thm)],[])).
% 154.14/99.00 tff(738,plain,
% 154.14/99.00 ((~![X67: $i, X68: $i] : ((~subactivity_occurrence(X67, X68)) | (~((~activity_occurrence(X68)) | (~activity_occurrence(X67)))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~((~activity_occurrence(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[737, 736])).
% 154.14/99.00 tff(739,plain,
% 154.14/99.00 (~((~activity_occurrence(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.14/99.00 inference(unit_resolution,[status(thm)],[738, 735, 722])).
% 154.14/99.00 tff(740,plain,
% 154.14/99.00 (((~activity_occurrence(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)))) | (~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.14/99.00 inference(tautology,[status(thm)],[])).
% 154.14/99.00 tff(741,plain,
% 154.14/99.00 (activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.14/99.00 inference(unit_resolution,[status(thm)],[740, 739])).
% 154.14/99.00 tff(742,plain,
% 154.14/99.00 (((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))) <=> ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))),
% 154.14/99.00 inference(rewrite,[status(thm)],[])).
% 154.14/99.00 tff(743,plain,
% 154.14/99.00 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))))),
% 154.14/99.00 inference(quant_inst,[status(thm)],[])).
% 154.14/99.00 tff(744,plain,
% 154.14/99.00 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~((~activity(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[743, 742])).
% 154.14/99.00 tff(745,plain,
% 154.14/99.00 (~((~activity(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))),
% 154.14/99.00 inference(unit_resolution,[status(thm)],[744, 86, 741])).
% 154.14/99.00 tff(746,plain,
% 154.14/99.00 (((~activity(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))) | occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.14/99.00 inference(tautology,[status(thm)],[])).
% 154.14/99.00 tff(747,plain,
% 154.14/99.00 (occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.14/99.00 inference(unit_resolution,[status(thm)],[746, 745])).
% 154.14/99.00 tff(748,plain,
% 154.14/99.00 (^[X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : refl((min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))) <=> (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))))),
% 154.14/99.00 inference(bind,[status(th)],[])).
% 154.14/99.00 tff(749,plain,
% 154.14/99.00 (![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))) <=> ![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))),
% 154.14/99.00 inference(quant_intro,[status(thm)],[748])).
% 154.14/99.00 tff(750,plain,
% 154.14/99.00 (^[X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : trans(monotonicity(trans(monotonicity(rewrite((send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174)) <=> (~((~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))))), ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) <=> (~(~((~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))))))), rewrite((~(~((~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))))) <=> ((~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))), ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) <=> ((~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))))), (((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178)) <=> (((~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))) | min_precedes(X177, X179, X178)))), rewrite((((~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174))) | min_precedes(X177, X179, X178)) <=> (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))), (((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178)) <=> (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))))),
% 154.14/99.00 inference(bind,[status(th)],[])).
% 154.14/99.00 tff(751,plain,
% 154.14/99.00 (![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178)) <=> ![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))),
% 154.14/99.00 inference(quant_intro,[status(thm)],[750])).
% 154.14/99.00 tff(752,plain,
% 154.14/99.00 (![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178)) <=> ![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178))),
% 154.14/99.00 inference(rewrite,[status(thm)],[])).
% 154.14/99.00 tff(753,plain,
% 154.14/99.00 (^[X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : rewrite(((send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174)) => min_precedes(X177, X179, X178)) <=> ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178)))),
% 154.14/99.00 inference(bind,[status(th)],[])).
% 154.14/99.00 tff(754,plain,
% 154.14/99.00 (![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174)) => min_precedes(X177, X179, X178)) <=> ![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178))),
% 154.14/99.00 inference(quant_intro,[status(thm)],[753])).
% 154.14/99.00 tff(755,axiom,(![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174)) => min_precedes(X177, X179, X178))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_64')).
% 154.14/99.00 tff(756,plain,
% 154.14/99.00 (![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[755, 754])).
% 154.14/99.00 tff(757,plain,
% 154.14/99.00 (![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[756, 752])).
% 154.14/99.00 tff(758,plain,(
% 154.14/99.00 ![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : ((~(send_message(X174, X175, X176, X177, X178) & occurrence_of(X179, X174))) | min_precedes(X177, X179, X178))),
% 154.14/99.00 inference(skolemize,[status(sab)],[757])).
% 154.14/99.00 tff(759,plain,
% 154.14/99.00 (![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[758, 751])).
% 154.14/99.00 tff(760,plain,
% 154.14/99.00 (![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))),
% 154.14/99.00 inference(modus_ponens,[status(thm)],[759, 749])).
% 154.14/99.00 tff(761,plain,
% 154.14/99.00 (((~![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))) | ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.14/99.00 inference(rewrite,[status(thm)],[])).
% 154.14/99.00 tff(762,plain,
% 154.14/99.00 ((min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))) <=> ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.14/99.00 inference(rewrite,[status(thm)],[])).
% 154.14/99.00 tff(763,plain,
% 154.14/99.00 (((~![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))) | (min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))) <=> ((~![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))) | ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.14/99.00 inference(monotonicity,[status(thm)],[762])).
% 154.14/99.00 tff(764,plain,
% 154.14/99.00 (((~![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))) | (min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))) <=> ((~![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.14/99.01 inference(transitivity,[status(thm)],[763, 761])).
% 154.14/99.01 tff(765,plain,
% 154.14/99.01 ((~![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))) | (min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))))),
% 154.14/99.01 inference(quant_inst,[status(thm)],[])).
% 154.14/99.01 tff(766,plain,
% 154.14/99.01 ((~![X174: $i, X175: $i, X176: $i, X177: $i, X178: $i, X179: $i] : (min_precedes(X177, X179, X178) | (~send_message(X174, X175, X176, X177, X178)) | (~occurrence_of(X179, X174)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~send_message(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.14/99.01 inference(modus_ponens,[status(thm)],[765, 764])).
% 154.14/99.01 tff(767,plain,
% 154.14/99.01 (min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.14/99.01 inference(unit_resolution,[status(thm)],[766, 760, 747, 720])).
% 154.14/99.01 tff(768,plain,
% 154.14/99.01 (((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))) | ((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))) <=> ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.14/99.01 inference(rewrite,[status(thm)],[])).
% 154.14/99.01 tff(769,plain,
% 154.14/99.01 ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))) | ((~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.14/99.01 inference(quant_inst,[status(thm)],[])).
% 154.14/99.01 tff(770,plain,
% 154.14/99.01 ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)) | (~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.01 inference(modus_ponens,[status(thm)],[769, 768])).
% 154.16/99.01 tff(771,plain,
% 154.16/99.01 (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.01 inference(unit_resolution,[status(thm)],[770, 325, 767])).
% 154.16/99.01 tff(772,plain,
% 154.16/99.01 (((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.01 inference(tautology,[status(thm)],[])).
% 154.16/99.01 tff(773,plain,
% 154.16/99.01 (occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.01 inference(unit_resolution,[status(thm)],[772, 771])).
% 154.16/99.01 tff(774,plain,
% 154.16/99.01 (occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)),
% 154.16/99.01 inference(modus_ponens,[status(thm)],[773, 114])).
% 154.16/99.01 tff(775,plain,
% 154.16/99.01 (((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)))))) <=> ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)))))),
% 154.16/99.01 inference(rewrite,[status(thm)],[])).
% 154.16/99.01 tff(776,plain,
% 154.16/99.01 (((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0))))) <=> ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)))))),
% 154.16/99.02 inference(rewrite,[status(thm)],[])).
% 154.16/99.02 tff(777,plain,
% 154.16/99.02 (((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))) <=> ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4))))))),
% 154.16/99.02 inference(monotonicity,[status(thm)],[776])).
% 154.16/99.02 tff(778,plain,
% 154.16/99.02 (((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))) <=> ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)))))),
% 154.16/99.02 inference(transitivity,[status(thm)],[777, 775])).
% 154.16/99.02 tff(779,plain,
% 154.16/99.02 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)))))),
% 154.16/99.02 inference(quant_inst,[status(thm)],[])).
% 154.16/99.02 tff(780,plain,
% 154.16/99.02 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4))))),
% 154.16/99.02 inference(modus_ponens,[status(thm)],[779, 778])).
% 154.16/99.02 tff(781,plain,
% 154.16/99.02 ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[780, 147])).
% 154.16/99.03 tff(782,plain,
% 154.16/99.03 (~((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4)))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[781, 774])).
% 154.16/99.03 tff(783,plain,
% 154.16/99.03 (((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4))) | root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(tautology,[status(thm)],[])).
% 154.16/99.03 tff(784,plain,
% 154.16/99.03 (root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[783, 782])).
% 154.16/99.03 tff(785,assumption,(![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))), introduced(assumption)).
% 154.16/99.03 tff(786,plain,
% 154.16/99.03 (((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(tautology,[status(thm)],[])).
% 154.16/99.03 tff(787,plain,
% 154.16/99.03 (subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[786, 771])).
% 154.16/99.03 tff(788,plain,
% 154.16/99.03 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)))))))),
% 154.16/99.03 inference(quant_inst,[status(thm)],[])).
% 154.16/99.03 tff(789,plain,
% 154.16/99.03 (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101))))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[788, 363])).
% 154.16/99.03 tff(790,plain,
% 154.16/99.03 (((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)))))) | ((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))),
% 154.16/99.03 inference(tautology,[status(thm)],[])).
% 154.16/99.03 tff(791,plain,
% 154.16/99.03 ((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[790, 789])).
% 154.16/99.03 tff(792,plain,
% 154.16/99.03 (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.03 inference(symmetry,[status(thm)],[543])).
% 154.16/99.03 tff(793,plain,
% 154.16/99.03 (tptp0 = tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.03 inference(transitivity,[status(thm)],[112, 792])).
% 154.16/99.03 tff(794,plain,
% 154.16/99.03 (occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp0) <=> occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(monotonicity,[status(thm)],[793])).
% 154.16/99.03 tff(795,plain,
% 154.16/99.03 (occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))) <=> occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)),
% 154.16/99.03 inference(symmetry,[status(thm)],[794])).
% 154.16/99.03 tff(796,plain,
% 154.16/99.03 (((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.03 inference(rewrite,[status(thm)],[])).
% 154.16/99.03 tff(797,plain,
% 154.16/99.03 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.03 inference(quant_inst,[status(thm)],[])).
% 154.16/99.03 tff(798,plain,
% 154.16/99.03 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.03 inference(modus_ponens,[status(thm)],[797, 796])).
% 154.16/99.03 tff(799,plain,
% 154.16/99.03 (arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[798, 178, 536])).
% 154.16/99.03 tff(800,plain,
% 154.16/99.03 ((~(arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | arboreal(tptp_fun_X75_10(X194!23, tptp0)) | (~atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.03 inference(tautology,[status(thm)],[])).
% 154.16/99.03 tff(801,plain,
% 154.16/99.03 ((~(arboreal(tptp_fun_X75_10(X194!23, tptp0)) <=> atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[800, 189])).
% 154.16/99.03 tff(802,plain,
% 154.16/99.03 (~atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[801, 799])).
% 154.16/99.03 tff(803,plain,
% 154.16/99.03 (((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(X194!23, tptp0))) | (~occurrence_of(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(tautology,[status(thm)],[])).
% 154.16/99.03 tff(804,plain,
% 154.16/99.03 (root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.03 inference(unit_resolution,[status(thm)],[803, 534])).
% 154.16/99.03 tff(805,plain,
% 154.16/99.03 (((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))) <=> ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.16/99.04 inference(rewrite,[status(thm)],[])).
% 154.16/99.04 tff(806,plain,
% 154.16/99.04 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | (atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.16/99.04 inference(quant_inst,[status(thm)],[])).
% 154.16/99.04 tff(807,plain,
% 154.16/99.04 ((~![X73: $i, X74: $i] : (atomic(X73) | (~root(X74, X73)) | (~((~occurrence_of(tptp_fun_X75_10(X74, X73), X73)) | (~subactivity_occurrence(X74, tptp_fun_X75_10(X74, X73))))))) | atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.16/99.04 inference(modus_ponens,[status(thm)],[806, 805])).
% 154.16/99.04 tff(808,plain,
% 154.16/99.04 (atomic(tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[807, 48, 804])).
% 154.16/99.04 tff(809,plain,
% 154.16/99.04 (~((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[808, 802])).
% 154.16/99.04 tff(810,plain,
% 154.16/99.04 (((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))) | occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.04 inference(tautology,[status(thm)],[])).
% 154.16/99.04 tff(811,plain,
% 154.16/99.04 (occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[810, 809])).
% 154.16/99.04 tff(812,plain,
% 154.16/99.04 (occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)),
% 154.16/99.04 inference(modus_ponens,[status(thm)],[811, 795])).
% 154.16/99.04 tff(813,plain,
% 154.16/99.04 (((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp0)))))) <=> ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp0)))))),
% 154.16/99.04 inference(rewrite,[status(thm)],[])).
% 154.16/99.04 tff(814,plain,
% 154.16/99.04 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp0)))))),
% 154.16/99.04 inference(quant_inst,[status(thm)],[])).
% 154.16/99.04 tff(815,plain,
% 154.16/99.04 ((~![X161: $i] : ((~occurrence_of(X161, tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(X161), tptp4)) | (~root_occ(tptp_fun_X162_17(X161), X161)) | (~(occurrence_of(tptp_fun_X163_16(X161), tptp2) | occurrence_of(tptp_fun_X163_16(X161), tptp3))) | (~leaf_occ(tptp_fun_X163_16(X161), X161)) | (~next_subocc(tptp_fun_X162_17(X161), tptp_fun_X163_16(X161), tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp0))))),
% 154.16/99.04 inference(modus_ponens,[status(thm)],[814, 813])).
% 154.16/99.04 tff(816,plain,
% 154.16/99.04 ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp0))))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[815, 147])).
% 154.16/99.04 tff(817,plain,
% 154.16/99.04 (~((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp0)))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[816, 812])).
% 154.16/99.04 tff(818,plain,
% 154.16/99.04 (((~occurrence_of(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp4)) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp3))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp0))) | root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.04 inference(tautology,[status(thm)],[])).
% 154.16/99.04 tff(819,plain,
% 154.16/99.04 (root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[818, 817])).
% 154.16/99.04 tff(820,plain,
% 154.16/99.04 ((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))))),
% 154.16/99.04 inference(tautology,[status(thm)],[])).
% 154.16/99.04 tff(821,plain,
% 154.16/99.04 ((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[820, 819])).
% 154.16/99.04 tff(822,plain,
% 154.16/99.04 (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[821, 791])).
% 154.16/99.04 tff(823,plain,
% 154.16/99.04 (((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) | occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.04 inference(tautology,[status(thm)],[])).
% 154.16/99.04 tff(824,plain,
% 154.16/99.04 (occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.04 inference(unit_resolution,[status(thm)],[823, 822])).
% 154.16/99.04 tff(825,plain,
% 154.16/99.04 (occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.04 inference(monotonicity,[status(thm)],[792])).
% 154.16/99.04 tff(826,plain,
% 154.16/99.04 (occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))) <=> occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.04 inference(symmetry,[status(thm)],[825])).
% 154.16/99.04 tff(827,plain,
% 154.16/99.04 (occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.04 inference(modus_ponens,[status(thm)],[811, 826])).
% 154.16/99.04 tff(828,plain,
% 154.16/99.04 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.16/99.04 inference(rewrite,[status(thm)],[])).
% 154.16/99.04 tff(829,plain,
% 154.16/99.04 (((tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) <=> ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.16/99.05 inference(rewrite,[status(thm)],[])).
% 154.16/99.05 tff(830,plain,
% 154.16/99.05 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.16/99.05 inference(monotonicity,[status(thm)],[829])).
% 154.16/99.05 tff(831,plain,
% 154.16/99.05 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.16/99.05 inference(transitivity,[status(thm)],[830, 828])).
% 154.16/99.05 tff(832,plain,
% 154.16/99.05 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.16/99.05 inference(quant_inst,[status(thm)],[])).
% 154.16/99.05 tff(833,plain,
% 154.16/99.05 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.05 inference(modus_ponens,[status(thm)],[832, 831])).
% 154.16/99.05 tff(834,plain,
% 154.16/99.05 (tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)) = tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.05 inference(unit_resolution,[status(thm)],[833, 105, 827, 824])).
% 154.16/99.05 tff(835,plain,
% 154.16/99.05 (root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.05 inference(monotonicity,[status(thm)],[834])).
% 154.16/99.05 tff(836,plain,
% 154.16/99.05 (root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))) <=> root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.05 inference(symmetry,[status(thm)],[835])).
% 154.16/99.05 tff(837,plain,
% 154.16/99.05 (((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))) | root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.05 inference(tautology,[status(thm)],[])).
% 154.16/99.05 tff(838,plain,
% 154.16/99.05 (root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.05 inference(unit_resolution,[status(thm)],[837, 822])).
% 154.16/99.05 tff(839,plain,
% 154.16/99.05 (root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.05 inference(modus_ponens,[status(thm)],[838, 836])).
% 154.16/99.05 tff(840,plain,
% 154.16/99.05 (((~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.05 inference(rewrite,[status(thm)],[])).
% 154.16/99.05 tff(841,plain,
% 154.16/99.05 (((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.05 inference(rewrite,[status(thm)],[])).
% 154.16/99.05 tff(842,plain,
% 154.16/99.05 (((~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.05 inference(monotonicity,[status(thm)],[841])).
% 154.16/99.05 tff(843,plain,
% 154.16/99.05 (((~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.05 inference(transitivity,[status(thm)],[842, 840])).
% 154.16/99.05 tff(844,plain,
% 154.16/99.05 ((~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.05 inference(quant_inst,[status(thm)],[])).
% 154.16/99.05 tff(845,plain,
% 154.16/99.05 ((~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.06 inference(modus_ponens,[status(thm)],[844, 843])).
% 154.16/99.06 tff(846,plain,
% 154.16/99.06 ($false),
% 154.16/99.06 inference(unit_resolution,[status(thm)],[845, 839, 773, 787, 785])).
% 154.16/99.06 tff(847,plain,(~![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))), inference(lemma,lemma(discharge,[]))).
% 154.16/99.06 tff(848,plain,
% 154.16/99.06 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))))))),
% 154.16/99.06 inference(rewrite,[status(thm)],[])).
% 154.16/99.06 tff(849,plain,
% 154.16/99.06 ((~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101))))))) <=> (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))),
% 154.16/99.06 inference(rewrite,[status(thm)],[])).
% 154.16/99.06 tff(850,plain,
% 154.16/99.06 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))))))),
% 154.16/99.06 inference(monotonicity,[status(thm)],[849])).
% 154.16/99.06 tff(851,plain,
% 154.16/99.06 (((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)))))))) <=> ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))))))),
% 154.16/99.07 inference(transitivity,[status(thm)],[850, 848])).
% 154.16/99.07 tff(852,plain,
% 154.16/99.07 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)))))))),
% 154.16/99.07 inference(quant_inst,[status(thm)],[])).
% 154.16/99.07 tff(853,plain,
% 154.16/99.07 ((~![X99: $i, X100: $i] : (~((~((~root_occ(X99, X100)) | (~((~subactivity_occurrence(X99, X100)) | (~occurrence_of(X100, tptp_fun_X101_13(X100, X99))) | (~root(X99, tptp_fun_X101_13(X100, X99))))))) | (~(root_occ(X99, X100) | ![X101: $i] : ((~occurrence_of(X100, X101)) | (~subactivity_occurrence(X99, X100)) | (~root(X99, X101)))))))) | (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))))))),
% 154.16/99.07 inference(modus_ponens,[status(thm)],[852, 851])).
% 154.16/99.07 tff(854,plain,
% 154.16/99.07 (~((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))))),
% 154.16/99.07 inference(unit_resolution,[status(thm)],[853, 363])).
% 154.16/99.07 tff(855,plain,
% 154.16/99.07 (((~((~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X101_13(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))))))) | (~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))))) | (root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))),
% 154.16/99.07 inference(tautology,[status(thm)],[])).
% 154.16/99.07 tff(856,plain,
% 154.16/99.07 (root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))),
% 154.16/99.07 inference(unit_resolution,[status(thm)],[855, 854])).
% 154.16/99.07 tff(857,plain,
% 154.16/99.07 ((~(root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101))))) | root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))),
% 154.16/99.07 inference(tautology,[status(thm)],[])).
% 154.16/99.07 tff(858,plain,
% 154.16/99.07 (root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | ![X101: $i] : ((~root(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), X101)) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X101)))),
% 154.16/99.07 inference(unit_resolution,[status(thm)],[857, 856])).
% 154.16/99.07 tff(859,plain,
% 154.16/99.07 (root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.08 inference(unit_resolution,[status(thm)],[858, 847])).
% 154.16/99.08 tff(860,plain,
% 154.16/99.08 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.08 inference(rewrite,[status(thm)],[])).
% 154.16/99.08 tff(861,plain,
% 154.16/99.08 (((tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.08 inference(rewrite,[status(thm)],[])).
% 154.16/99.08 tff(862,plain,
% 154.16/99.08 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.16/99.08 inference(monotonicity,[status(thm)],[861])).
% 154.16/99.08 tff(863,plain,
% 154.16/99.08 (((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.08 inference(transitivity,[status(thm)],[862, 860])).
% 154.16/99.08 tff(864,plain,
% 154.16/99.08 ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | ((tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.08 inference(quant_inst,[status(thm)],[])).
% 154.16/99.08 tff(865,plain,
% 154.16/99.08 ((~![X105: $i, X106: $i, X107: $i, X108: $i] : ((X105 = X106) | (~occurrence_of(X107, X108)) | (~root_occ(X105, X107)) | (~root_occ(X106, X107)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.08 inference(modus_ponens,[status(thm)],[864, 863])).
% 154.16/99.08 tff(866,plain,
% 154.16/99.08 (tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.08 inference(unit_resolution,[status(thm)],[865, 398, 773, 859, 784])).
% 154.16/99.08 tff(867,plain,
% 154.16/99.08 (min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.08 inference(monotonicity,[status(thm)],[866])).
% 154.16/99.08 tff(868,plain,
% 154.16/99.08 (min_precedes(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.08 inference(symmetry,[status(thm)],[867])).
% 154.16/99.08 tff(869,plain,
% 154.16/99.08 (min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.08 inference(modus_ponens,[status(thm)],[767, 868])).
% 154.16/99.08 tff(870,plain,
% 154.16/99.08 ((~![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))) | (~((~(next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))))))),
% 154.16/99.09 inference(quant_inst,[status(thm)],[])).
% 154.16/99.09 tff(871,plain,
% 154.16/99.09 (~((~(next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))))),
% 154.16/99.09 inference(unit_resolution,[status(thm)],[870, 281])).
% 154.16/99.09 tff(872,plain,
% 154.16/99.09 (((~(next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))) | (~((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))))) | ((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))),
% 154.16/99.09 inference(tautology,[status(thm)],[])).
% 154.16/99.09 tff(873,plain,
% 154.16/99.09 ((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.16/99.09 inference(unit_resolution,[status(thm)],[872, 871])).
% 154.16/99.09 tff(874,plain,
% 154.16/99.09 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) <=> next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)),
% 154.16/99.09 inference(monotonicity,[status(thm)],[259])).
% 154.16/99.09 tff(875,plain,
% 154.16/99.09 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0) <=> next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.09 inference(symmetry,[status(thm)],[874])).
% 154.16/99.09 tff(876,plain,
% 154.16/99.09 (((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4))) | next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)),
% 154.16/99.09 inference(tautology,[status(thm)],[])).
% 154.16/99.09 tff(877,plain,
% 154.16/99.09 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)),
% 154.16/99.09 inference(unit_resolution,[status(thm)],[876, 782])).
% 154.16/99.09 tff(878,plain,
% 154.16/99.09 (next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.09 inference(modus_ponens,[status(thm)],[877, 875])).
% 154.16/99.09 tff(879,plain,
% 154.16/99.09 ((~((~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))))),
% 154.16/99.10 inference(tautology,[status(thm)],[])).
% 154.16/99.10 tff(880,plain,
% 154.16/99.10 (~((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))))),
% 154.16/99.10 inference(unit_resolution,[status(thm)],[879, 878, 873])).
% 154.16/99.10 tff(881,plain,
% 154.16/99.10 (((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) | ![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.10 inference(tautology,[status(thm)],[])).
% 154.16/99.10 tff(882,plain,
% 154.16/99.10 (![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.10 inference(unit_resolution,[status(thm)],[881, 880])).
% 154.16/99.10 tff(883,plain,
% 154.16/99.10 (((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | ((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.10 inference(rewrite,[status(thm)],[])).
% 154.16/99.10 tff(884,plain,
% 154.16/99.10 (((~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) <=> ((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.10 inference(rewrite,[status(thm)],[])).
% 154.16/99.10 tff(885,plain,
% 154.16/99.10 (((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | ((~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | ((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.16/99.10 inference(monotonicity,[status(thm)],[884])).
% 154.16/99.10 tff(886,plain,
% 154.16/99.10 (((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | ((~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.10 inference(transitivity,[status(thm)],[885, 883])).
% 154.16/99.10 tff(887,plain,
% 154.16/99.10 ((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | ((~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))),
% 154.16/99.10 inference(quant_inst,[status(thm)],[])).
% 154.16/99.10 tff(888,plain,
% 154.16/99.10 ((~![X63: $i] : ((~min_precedes(X63, tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), X63, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | (~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.10 inference(modus_ponens,[status(thm)],[887, 886])).
% 154.16/99.10 tff(889,plain,
% 154.16/99.10 ((~min_precedes(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.16/99.10 inference(unit_resolution,[status(thm)],[888, 882])).
% 154.16/99.10 tff(890,plain,
% 154.16/99.10 (~min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))),
% 154.16/99.10 inference(unit_resolution,[status(thm)],[889, 869])).
% 154.16/99.10 tff(891,assumption,(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3), introduced(assumption)).
% 154.16/99.10 tff(892,plain,
% 154.16/99.10 (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3),
% 154.16/99.10 inference(transitivity,[status(thm)],[679, 713, 891])).
% 154.16/99.10 tff(893,plain,
% 154.16/99.10 (^[X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : refl(((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4)))) <=> ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4)))))),
% 154.16/99.10 inference(bind,[status(th)],[])).
% 154.16/99.10 tff(894,plain,
% 154.16/99.10 (![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4)))) <=> ![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4))))),
% 154.16/99.10 inference(quant_intro,[status(thm)],[893])).
% 154.16/99.10 tff(895,plain,
% 154.16/99.10 (^[X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : rewrite(((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2)))) <=> ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4)))))),
% 154.16/99.11 inference(bind,[status(th)],[])).
% 154.16/99.11 tff(896,plain,
% 154.16/99.11 (![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2)))) <=> ![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4))))),
% 154.16/99.11 inference(quant_intro,[status(thm)],[895])).
% 154.16/99.11 tff(897,plain,
% 154.16/99.11 (![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2)))) <=> ![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2))))),
% 154.16/99.11 inference(rewrite,[status(thm)],[])).
% 154.16/99.11 tff(898,plain,
% 154.16/99.11 (^[X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : trans(monotonicity(rewrite((((~(X169 = tptp4)) & (~(X169 = tptp3))) & (~(X169 = tptp2))) <=> ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2)))), ((send_message(X169, X170, X171, X172, X173) => (((~(X169 = tptp4)) & (~(X169 = tptp3))) & (~(X169 = tptp2)))) <=> (send_message(X169, X170, X171, X172, X173) => ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2)))))), rewrite((send_message(X169, X170, X171, X172, X173) => ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2)))) <=> ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2))))), ((send_message(X169, X170, X171, X172, X173) => (((~(X169 = tptp4)) & (~(X169 = tptp3))) & (~(X169 = tptp2)))) <=> ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2))))))),
% 154.16/99.11 inference(bind,[status(th)],[])).
% 154.16/99.11 tff(899,plain,
% 154.16/99.11 (![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : (send_message(X169, X170, X171, X172, X173) => (((~(X169 = tptp4)) & (~(X169 = tptp3))) & (~(X169 = tptp2)))) <=> ![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2))))),
% 154.16/99.11 inference(quant_intro,[status(thm)],[898])).
% 154.16/99.11 tff(900,axiom,(![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : (send_message(X169, X170, X171, X172, X173) => (((~(X169 = tptp4)) & (~(X169 = tptp3))) & (~(X169 = tptp2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_63')).
% 154.16/99.11 tff(901,plain,
% 154.16/99.11 (![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2))))),
% 154.16/99.11 inference(modus_ponens,[status(thm)],[900, 899])).
% 154.16/99.11 tff(902,plain,
% 154.16/99.11 (![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2))))),
% 154.16/99.11 inference(modus_ponens,[status(thm)],[901, 897])).
% 154.16/99.11 tff(903,plain,(
% 154.16/99.11 ![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | ((~(X169 = tptp4)) & (~(X169 = tptp3)) & (~(X169 = tptp2))))),
% 154.16/99.11 inference(skolemize,[status(sab)],[902])).
% 154.16/99.11 tff(904,plain,
% 154.16/99.11 (![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4))))),
% 154.16/99.11 inference(modus_ponens,[status(thm)],[903, 896])).
% 154.16/99.11 tff(905,plain,
% 154.16/99.11 (![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4))))),
% 154.16/99.11 inference(modus_ponens,[status(thm)],[904, 894])).
% 154.16/99.11 tff(906,plain,
% 154.16/99.11 (((~![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4))))) | ((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp4))))) <=> ((~![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4))))) | (~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp4))))),
% 154.16/99.11 inference(rewrite,[status(thm)],[])).
% 154.16/99.11 tff(907,plain,
% 154.16/99.11 ((~![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4))))) | ((~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp4))))),
% 154.16/99.11 inference(quant_inst,[status(thm)],[])).
% 154.16/99.11 tff(908,plain,
% 154.16/99.11 ((~![X169: $i, X170: $i, X171: $i, X172: $i, X173: $i] : ((~send_message(X169, X170, X171, X172, X173)) | (~((X169 = tptp2) | (X169 = tptp3) | (X169 = tptp4))))) | (~send_message(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X188_20(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X189_19(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp4)))),
% 154.16/99.11 inference(modus_ponens,[status(thm)],[907, 906])).
% 154.16/99.11 tff(909,plain,
% 154.16/99.11 (~((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp4))),
% 154.16/99.11 inference(unit_resolution,[status(thm)],[908, 905, 719])).
% 154.16/99.11 tff(910,plain,
% 154.16/99.11 (((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp4)) | (~(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3))),
% 154.16/99.11 inference(tautology,[status(thm)],[])).
% 154.16/99.11 tff(911,plain,
% 154.16/99.11 (~(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3)),
% 154.16/99.11 inference(unit_resolution,[status(thm)],[910, 909])).
% 154.16/99.11 tff(912,plain,
% 154.16/99.11 ($false),
% 154.16/99.11 inference(unit_resolution,[status(thm)],[911, 892])).
% 154.16/99.11 tff(913,plain,(~(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3)), inference(lemma,lemma(discharge,[]))).
% 154.16/99.11 tff(914,assumption,(occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)), introduced(assumption)).
% 154.16/99.11 tff(915,plain,
% 154.16/99.11 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3))),
% 154.26/99.11 inference(rewrite,[status(thm)],[])).
% 154.26/99.11 tff(916,plain,
% 154.26/99.11 (((tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3))) <=> ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3))),
% 154.26/99.11 inference(rewrite,[status(thm)],[])).
% 154.26/99.11 tff(917,plain,
% 154.26/99.11 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3)))),
% 154.26/99.11 inference(monotonicity,[status(thm)],[916])).
% 154.26/99.11 tff(918,plain,
% 154.26/99.11 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3))),
% 154.26/99.11 inference(transitivity,[status(thm)],[917, 915])).
% 154.26/99.11 tff(919,plain,
% 154.26/99.11 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)))),
% 154.26/99.11 inference(quant_inst,[status(thm)],[])).
% 154.26/99.11 tff(920,plain,
% 154.26/99.11 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp3)),
% 154.26/99.11 inference(modus_ponens,[status(thm)],[919, 918])).
% 154.26/99.11 tff(921,plain,
% 154.26/99.11 ($false),
% 154.26/99.11 inference(unit_resolution,[status(thm)],[920, 105, 747, 914, 913])).
% 154.26/99.11 tff(922,plain,(~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)), inference(lemma,lemma(discharge,[]))).
% 154.26/99.11 tff(923,assumption,(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))), introduced(assumption)).
% 154.26/99.11 tff(924,plain,
% 154.26/99.11 (occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3) <=> occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)),
% 154.26/99.11 inference(monotonicity,[status(thm)],[923])).
% 154.26/99.11 tff(925,plain,
% 154.26/99.11 (occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3) <=> occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3)),
% 154.26/99.11 inference(symmetry,[status(thm)],[924])).
% 154.26/99.11 tff(926,plain,
% 154.26/99.11 ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)) <=> (~occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))),
% 154.26/99.11 inference(monotonicity,[status(thm)],[925])).
% 154.26/99.11 tff(927,assumption,(~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)), introduced(assumption)).
% 154.26/99.11 tff(928,plain,
% 154.26/99.11 (~occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3)),
% 154.26/99.11 inference(modus_ponens,[status(thm)],[927, 926])).
% 154.26/99.11 tff(929,plain,
% 154.26/99.11 (occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) <=> occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)),
% 154.26/99.11 inference(monotonicity,[status(thm)],[923])).
% 154.26/99.11 tff(930,plain,
% 154.26/99.11 (occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2) <=> occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2)),
% 154.26/99.11 inference(symmetry,[status(thm)],[929])).
% 154.26/99.11 tff(931,plain,
% 154.26/99.11 ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)) <=> (~occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2))),
% 154.26/99.11 inference(monotonicity,[status(thm)],[930])).
% 154.26/99.11 tff(932,assumption,(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2), introduced(assumption)).
% 154.26/99.11 tff(933,plain,
% 154.26/99.11 (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2),
% 154.26/99.11 inference(transitivity,[status(thm)],[679, 713, 932])).
% 154.26/99.11 tff(934,plain,
% 154.26/99.11 (((tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp3) | (tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp4)) | (~(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2))),
% 154.26/99.11 inference(tautology,[status(thm)],[])).
% 154.26/99.11 tff(935,plain,
% 154.26/99.11 (~(tptp_fun_X187_21(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), X194!23, tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) = tptp2)),
% 154.26/99.11 inference(unit_resolution,[status(thm)],[934, 909])).
% 154.26/99.11 tff(936,plain,
% 154.26/99.11 ($false),
% 154.26/99.11 inference(unit_resolution,[status(thm)],[935, 933])).
% 154.26/99.11 tff(937,plain,(~(tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2)), inference(lemma,lemma(discharge,[]))).
% 154.26/99.11 tff(938,assumption,(occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)), introduced(assumption)).
% 154.26/99.11 tff(939,plain,
% 154.26/99.11 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2))),
% 154.26/99.11 inference(rewrite,[status(thm)],[])).
% 154.26/99.11 tff(940,plain,
% 154.26/99.11 (((tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2))) <=> ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2))),
% 154.26/99.11 inference(rewrite,[status(thm)],[])).
% 154.26/99.11 tff(941,plain,
% 154.26/99.11 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2)))),
% 154.26/99.12 inference(monotonicity,[status(thm)],[940])).
% 154.26/99.12 tff(942,plain,
% 154.26/99.12 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2))),
% 154.26/99.12 inference(transitivity,[status(thm)],[941, 939])).
% 154.26/99.12 tff(943,plain,
% 154.26/99.12 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)))),
% 154.26/99.12 inference(quant_inst,[status(thm)],[])).
% 154.26/99.12 tff(944,plain,
% 154.26/99.12 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) | (~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)) | (tptp_fun_X3_0(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) = tptp2)),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[943, 942])).
% 154.26/99.12 tff(945,plain,
% 154.26/99.12 ($false),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[944, 105, 747, 938, 937])).
% 154.26/99.12 tff(946,plain,(~occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp2)), inference(lemma,lemma(discharge,[]))).
% 154.26/99.12 tff(947,plain,
% 154.26/99.12 (~occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2)),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[946, 931])).
% 154.26/99.12 tff(948,assumption,(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2)), introduced(assumption)).
% 154.26/99.12 tff(949,plain,
% 154.26/99.12 ($false),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[948, 947])).
% 154.26/99.12 tff(950,plain,((~(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2))), inference(lemma,lemma(discharge,[]))).
% 154.26/99.12 tff(951,plain,
% 154.26/99.12 (~occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2)),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[950, 923])).
% 154.26/99.12 tff(952,plain,
% 154.26/99.12 (((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4))) | (occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))),
% 154.26/99.12 inference(tautology,[status(thm)],[])).
% 154.26/99.12 tff(953,plain,
% 154.26/99.12 (occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3)),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[952, 782])).
% 154.26/99.12 tff(954,plain,
% 154.26/99.12 ((~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3)),
% 154.26/99.12 inference(tautology,[status(thm)],[])).
% 154.26/99.12 tff(955,plain,
% 154.26/99.12 (occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3)),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[954, 953])).
% 154.26/99.12 tff(956,plain,
% 154.26/99.12 (occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3)),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[955, 951])).
% 154.26/99.12 tff(957,plain,
% 154.26/99.12 ($false),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[956, 928])).
% 154.26/99.12 tff(958,plain,((~(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | occurrence_of(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp3)), inference(lemma,lemma(discharge,[]))).
% 154.26/99.12 tff(959,plain,
% 154.26/99.12 (~(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[958, 922])).
% 154.26/99.12 tff(960,plain,
% 154.26/99.12 (((~root_occ(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~(occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp2) | occurrence_of(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp3))) | (~next_subocc(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp0)) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~occurrence_of(tptp_fun_X162_17(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp4))) | leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.26/99.12 inference(tautology,[status(thm)],[])).
% 154.26/99.12 tff(961,plain,
% 154.26/99.12 (leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[960, 782])).
% 154.26/99.12 tff(962,plain,
% 154.26/99.12 (((~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) | subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.26/99.12 inference(tautology,[status(thm)],[])).
% 154.26/99.12 tff(963,plain,
% 154.26/99.12 (subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[962, 771])).
% 154.26/99.12 tff(964,plain,
% 154.26/99.12 (^[X41: $i, X42: $i] : refl((legal(X41) | (~root(X41, X42))) <=> (legal(X41) | (~root(X41, X42))))),
% 154.26/99.12 inference(bind,[status(th)],[])).
% 154.26/99.12 tff(965,plain,
% 154.26/99.12 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42))) <=> ![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 154.26/99.12 inference(quant_intro,[status(thm)],[964])).
% 154.26/99.12 tff(966,plain,
% 154.26/99.12 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42))) <=> ![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 154.26/99.12 inference(rewrite,[status(thm)],[])).
% 154.26/99.12 tff(967,plain,
% 154.26/99.12 (^[X41: $i, X42: $i] : rewrite((root(X41, X42) => legal(X41)) <=> (legal(X41) | (~root(X41, X42))))),
% 154.26/99.12 inference(bind,[status(th)],[])).
% 154.26/99.12 tff(968,plain,
% 154.26/99.12 (![X41: $i, X42: $i] : (root(X41, X42) => legal(X41)) <=> ![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 154.26/99.12 inference(quant_intro,[status(thm)],[967])).
% 154.26/99.12 tff(969,axiom,(![X41: $i, X42: $i] : (root(X41, X42) => legal(X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_16')).
% 154.26/99.12 tff(970,plain,
% 154.26/99.12 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[969, 968])).
% 154.26/99.12 tff(971,plain,
% 154.26/99.12 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[970, 966])).
% 154.26/99.12 tff(972,plain,(
% 154.26/99.12 ![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 154.26/99.12 inference(skolemize,[status(sab)],[971])).
% 154.26/99.12 tff(973,plain,
% 154.26/99.12 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[972, 965])).
% 154.26/99.12 tff(974,plain,
% 154.26/99.12 (((~![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))) | (legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) <=> ((~![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))) | legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.26/99.12 inference(rewrite,[status(thm)],[])).
% 154.26/99.12 tff(975,plain,
% 154.26/99.12 ((~![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))) | (legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.26/99.12 inference(quant_inst,[status(thm)],[])).
% 154.26/99.12 tff(976,plain,
% 154.26/99.12 ((~![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))) | legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~root(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[975, 974])).
% 154.26/99.12 tff(977,plain,
% 154.26/99.12 (legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[976, 973, 632])).
% 154.26/99.12 tff(978,plain,
% 154.26/99.12 (^[X18: $i] : refl((arboreal(X18) | (~legal(X18))) <=> (arboreal(X18) | (~legal(X18))))),
% 154.26/99.12 inference(bind,[status(th)],[])).
% 154.26/99.12 tff(979,plain,
% 154.26/99.12 (![X18: $i] : (arboreal(X18) | (~legal(X18))) <=> ![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 154.26/99.12 inference(quant_intro,[status(thm)],[978])).
% 154.26/99.12 tff(980,plain,
% 154.26/99.12 (![X18: $i] : (arboreal(X18) | (~legal(X18))) <=> ![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 154.26/99.12 inference(rewrite,[status(thm)],[])).
% 154.26/99.12 tff(981,plain,
% 154.26/99.12 (^[X18: $i] : rewrite((legal(X18) => arboreal(X18)) <=> (arboreal(X18) | (~legal(X18))))),
% 154.26/99.12 inference(bind,[status(th)],[])).
% 154.26/99.12 tff(982,plain,
% 154.26/99.12 (![X18: $i] : (legal(X18) => arboreal(X18)) <=> ![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 154.26/99.12 inference(quant_intro,[status(thm)],[981])).
% 154.26/99.12 tff(983,axiom,(![X18: $i] : (legal(X18) => arboreal(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_08')).
% 154.26/99.12 tff(984,plain,
% 154.26/99.12 (![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[983, 982])).
% 154.26/99.12 tff(985,plain,
% 154.26/99.12 (![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[984, 980])).
% 154.26/99.12 tff(986,plain,(
% 154.26/99.12 ![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 154.26/99.12 inference(skolemize,[status(sab)],[985])).
% 154.26/99.12 tff(987,plain,
% 154.26/99.12 (![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[986, 979])).
% 154.26/99.12 tff(988,plain,
% 154.26/99.12 (((~![X18: $i] : (arboreal(X18) | (~legal(X18)))) | (arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))) <=> ((~![X18: $i] : (arboreal(X18) | (~legal(X18)))) | arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.26/99.12 inference(rewrite,[status(thm)],[])).
% 154.26/99.12 tff(989,plain,
% 154.26/99.12 ((~![X18: $i] : (arboreal(X18) | (~legal(X18)))) | (arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.26/99.12 inference(quant_inst,[status(thm)],[])).
% 154.26/99.12 tff(990,plain,
% 154.26/99.12 ((~![X18: $i] : (arboreal(X18) | (~legal(X18)))) | arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~legal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[989, 988])).
% 154.26/99.12 tff(991,plain,
% 154.26/99.12 (arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.26/99.12 inference(unit_resolution,[status(thm)],[990, 987, 977])).
% 154.26/99.12 tff(992,plain,
% 154.26/99.12 (^[X138: $i, X139: $i, X140: $i, X141: $i] : refl((min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))) <=> (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))))),
% 154.26/99.12 inference(bind,[status(th)],[])).
% 154.26/99.12 tff(993,plain,
% 154.26/99.12 (![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))) <=> ![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))),
% 154.26/99.12 inference(quant_intro,[status(thm)],[992])).
% 154.26/99.12 tff(994,plain,
% 154.26/99.12 (^[X138: $i, X139: $i, X140: $i, X141: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138))) <=> (~(min_precedes(X140, X141, X138) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))))), ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) <=> (~(~(min_precedes(X140, X141, X138) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))))))), rewrite((~(~(min_precedes(X140, X141, X138) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))))) <=> (min_precedes(X140, X141, X138) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))), ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) <=> (min_precedes(X140, X141, X138) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))))), (((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140)) <=> ((min_precedes(X140, X141, X138) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))) | (X141 = X140)))), rewrite(((min_precedes(X140, X141, X138) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139))) | (X141 = X140)) <=> (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))), (((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140)) <=> (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))))),
% 154.26/99.12 inference(bind,[status(th)],[])).
% 154.26/99.12 tff(995,plain,
% 154.26/99.12 (![X138: $i, X139: $i, X140: $i, X141: $i] : ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140)) <=> ![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))),
% 154.26/99.12 inference(quant_intro,[status(thm)],[994])).
% 154.26/99.12 tff(996,plain,
% 154.26/99.12 (![X138: $i, X139: $i, X140: $i, X141: $i] : ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140)) <=> ![X138: $i, X139: $i, X140: $i, X141: $i] : ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140))),
% 154.26/99.12 inference(rewrite,[status(thm)],[])).
% 154.26/99.12 tff(997,plain,
% 154.26/99.12 (^[X138: $i, X139: $i, X140: $i, X141: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) <=> (occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139))), ((((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) & arboreal(X140)) <=> ((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139)) & arboreal(X140)))), rewrite(((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139)) & arboreal(X140)) <=> (occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140))), ((((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) & arboreal(X140)) <=> (occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140)))), (((((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) & arboreal(X140)) & (~min_precedes(X140, X141, X138))) <=> ((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140)) & (~min_precedes(X140, X141, X138))))), rewrite(((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140)) & (~min_precedes(X140, X141, X138))) <=> (occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))), (((((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) & arboreal(X140)) & (~min_precedes(X140, X141, X138))) <=> (occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138))))), ((((((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) & arboreal(X140)) & (~min_precedes(X140, X141, X138))) => (X141 = X140)) <=> ((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138))) => (X141 = X140)))), rewrite(((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138))) => (X141 = X140)) <=> ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140))), ((((((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) & arboreal(X140)) & (~min_precedes(X140, X141, X138))) => (X141 = X140)) <=> ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140))))),
% 154.26/99.12 inference(bind,[status(th)],[])).
% 154.26/99.12 tff(998,plain,
% 154.26/99.12 (![X138: $i, X139: $i, X140: $i, X141: $i] : (((((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) & arboreal(X140)) & (~min_precedes(X140, X141, X138))) => (X141 = X140)) <=> ![X138: $i, X139: $i, X140: $i, X141: $i] : ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140))),
% 154.26/99.12 inference(quant_intro,[status(thm)],[997])).
% 154.26/99.12 tff(999,axiom,(![X138: $i, X139: $i, X140: $i, X141: $i] : (((((occurrence_of(X139, X138) & subactivity_occurrence(X140, X139)) & leaf_occ(X141, X139)) & arboreal(X140)) & (~min_precedes(X140, X141, X138))) => (X141 = X140))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_43')).
% 154.26/99.12 tff(1000,plain,
% 154.26/99.12 (![X138: $i, X139: $i, X140: $i, X141: $i] : ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140))),
% 154.26/99.12 inference(modus_ponens,[status(thm)],[999, 998])).
% 154.26/99.12 tff(1001,plain,
% 154.26/99.12 (![X138: $i, X139: $i, X140: $i, X141: $i] : ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140))),
% 154.26/99.13 inference(modus_ponens,[status(thm)],[1000, 996])).
% 154.26/99.13 tff(1002,plain,(
% 154.26/99.13 ![X138: $i, X139: $i, X140: $i, X141: $i] : ((~(occurrence_of(X139, X138) & subactivity_occurrence(X140, X139) & leaf_occ(X141, X139) & arboreal(X140) & (~min_precedes(X140, X141, X138)))) | (X141 = X140))),
% 154.26/99.13 inference(skolemize,[status(sab)],[1001])).
% 154.26/99.13 tff(1003,plain,
% 154.26/99.13 (![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))),
% 154.26/99.13 inference(modus_ponens,[status(thm)],[1002, 995])).
% 154.26/99.13 tff(1004,plain,
% 154.26/99.13 (![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))),
% 154.26/99.13 inference(modus_ponens,[status(thm)],[1003, 993])).
% 154.26/99.13 tff(1005,plain,
% 154.26/99.13 (((~![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))) | ((~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))) <=> ((~![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.26/99.13 inference(rewrite,[status(thm)],[])).
% 154.26/99.13 tff(1006,plain,
% 154.26/99.13 ((min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))))) <=> ((~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.26/99.13 inference(rewrite,[status(thm)],[])).
% 154.26/99.13 tff(1007,plain,
% 154.26/99.13 (((~![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))) | (min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))) | ((~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))))),
% 154.26/99.13 inference(monotonicity,[status(thm)],[1006])).
% 154.26/99.13 tff(1008,plain,
% 154.26/99.13 (((~![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))) | (min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))) <=> ((~![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))))),
% 154.26/99.13 inference(transitivity,[status(thm)],[1007, 1005])).
% 154.26/99.13 tff(1009,plain,
% 154.26/99.13 ((~![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))) | (min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))))),
% 154.26/99.14 inference(quant_inst,[status(thm)],[])).
% 154.26/99.14 tff(1010,plain,
% 154.26/99.14 ((~![X138: $i, X139: $i, X140: $i, X141: $i] : (min_precedes(X140, X141, X138) | (X141 = X140) | (~occurrence_of(X139, X138)) | (~arboreal(X140)) | (~subactivity_occurrence(X140, X139)) | (~leaf_occ(X141, X139)))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | (~leaf_occ(tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))))) | min_precedes(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0))) | (tptp_fun_X163_16(tptp_fun_X72_9(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)), tptp_fun_X162_17(tptp_fun_X75_10(tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0)), tptp_fun_X101_13(tptp_fun_X75_10(X194!23, tptp0), tptp_fun_X162_17(tptp_fun_X75_10(X194!23, tptp0))))), tptp_fun_X3_0(tptp_fun_X75_10(X194!23, tptp0)))) = tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(tptp_fun_X75_10(tptp_fun_X78_11(X195!22, X193!24), X193!24), X193!24), tptp_fun_X3_0(X195!22)), tptp_fun_X3_0(X195!22)))),
% 154.26/99.14 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 154.26/99.14 tff(1011,plain,
% 154.26/99.14 ($false),
% 154.26/99.14 inference(unit_resolution,[status(thm)],[1010, 1004, 991, 773, 963, 961, 959, 890])).
% 154.26/99.14 % SZS output end Proof
%------------------------------------------------------------------------------