TSTP Solution File: PRO001+4 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PRO001+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 13:52:16 EDT 2022
% Result : Theorem 6.55s 4.43s
% Output : Proof 6.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PRO001+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 17:50:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 6.55/4.43 % SZS status Theorem
% 6.55/4.43 % SZS output start Proof
% 6.55/4.43 tff(occurrence_of_type, type, (
% 6.55/4.43 occurrence_of: ( $i * $i ) > $o)).
% 6.55/4.43 tff(tptp3_type, type, (
% 6.55/4.43 tptp3: $i)).
% 6.55/4.43 tff(tptp_fun_X2_0_type, type, (
% 6.55/4.43 tptp_fun_X2_0: ( $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X42_4_type, type, (
% 6.55/4.43 tptp_fun_X42_4: $i > $i)).
% 6.55/4.43 tff(tptp_fun_X154_16_type, type, (
% 6.55/4.43 tptp_fun_X154_16: ( $i * $i * $i ) > $i)).
% 6.55/4.43 tff(tptp0_type, type, (
% 6.55/4.43 tptp0: $i)).
% 6.55/4.43 tff(tptp_fun_X158_21_type, type, (
% 6.55/4.43 tptp_fun_X158_21: $i)).
% 6.55/4.43 tff(tptp_fun_X159_20_type, type, (
% 6.55/4.43 tptp_fun_X159_20: $i)).
% 6.55/4.43 tff(tptp_fun_X103_12_type, type, (
% 6.55/4.43 tptp_fun_X103_12: $i > $i)).
% 6.55/4.43 tff(tptp_fun_X24_2_type, type, (
% 6.55/4.43 tptp_fun_X24_2: ( $i * $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X50_7_type, type, (
% 6.55/4.43 tptp_fun_X50_7: ( $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X102_13_type, type, (
% 6.55/4.43 tptp_fun_X102_13: $i > $i)).
% 6.55/4.43 tff(min_precedes_type, type, (
% 6.55/4.43 min_precedes: ( $i * $i * $i ) > $o)).
% 6.55/4.43 tff(root_occ_type, type, (
% 6.55/4.43 root_occ: ( $i * $i ) > $o)).
% 6.55/4.43 tff(tptp2_type, type, (
% 6.55/4.43 tptp2: $i)).
% 6.55/4.43 tff(next_subocc_type, type, (
% 6.55/4.43 next_subocc: ( $i * $i * $i ) > $o)).
% 6.55/4.43 tff(leaf_occ_type, type, (
% 6.55/4.43 leaf_occ: ( $i * $i ) > $o)).
% 6.55/4.43 tff(tptp4_type, type, (
% 6.55/4.43 tptp4: $i)).
% 6.55/4.43 tff(activity_type, type, (
% 6.55/4.43 activity: $i > $o)).
% 6.55/4.43 tff(activity_occurrence_type, type, (
% 6.55/4.43 activity_occurrence: $i > $o)).
% 6.55/4.43 tff(subactivity_occurrence_type, type, (
% 6.55/4.43 subactivity_occurrence: ( $i * $i ) > $o)).
% 6.55/4.43 tff(leaf_type, type, (
% 6.55/4.43 leaf: ( $i * $i ) > $o)).
% 6.55/4.43 tff(tptp_fun_X27_3_type, type, (
% 6.55/4.43 tptp_fun_X27_3: ( $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X57_8_type, type, (
% 6.55/4.43 tptp_fun_X57_8: ( $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X81_11_type, type, (
% 6.55/4.43 tptp_fun_X81_11: ( $i * $i * $i ) > $i)).
% 6.55/4.43 tff(root_type, type, (
% 6.55/4.43 root: ( $i * $i ) > $o)).
% 6.55/4.43 tff(atomic_type, type, (
% 6.55/4.43 atomic: $i > $o)).
% 6.55/4.43 tff(tptp_fun_X157_22_type, type, (
% 6.55/4.43 tptp_fun_X157_22: $i)).
% 6.55/4.43 tff(tptp1_type, type, (
% 6.55/4.43 tptp1: ( $i * $i * $i ) > $o)).
% 6.55/4.43 tff(tptp_fun_X49_6_type, type, (
% 6.55/4.43 tptp_fun_X49_6: ( $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X143_14_type, type, (
% 6.55/4.43 tptp_fun_X143_14: ( $i * $i * $i * $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X152_18_type, type, (
% 6.55/4.43 tptp_fun_X152_18: ( $i * $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X153_17_type, type, (
% 6.55/4.43 tptp_fun_X153_17: ( $i * $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X151_19_type, type, (
% 6.55/4.43 tptp_fun_X151_19: ( $i * $i * $i ) > $i)).
% 6.55/4.43 tff(transmit_message_type, type, (
% 6.55/4.43 transmit_message: ( $i * $i * $i * $i * $i ) > $o)).
% 6.55/4.43 tff(arboreal_type, type, (
% 6.55/4.43 arboreal: $i > $o)).
% 6.55/4.43 tff(tptp_fun_X60_9_type, type, (
% 6.55/4.43 tptp_fun_X60_9: ( $i * $i ) > $i)).
% 6.55/4.43 tff(tptp_fun_X142_15_type, type, (
% 6.55/4.43 tptp_fun_X142_15: ( $i * $i * $i * $i * $i ) > $i)).
% 6.55/4.43 tff(send_message_type, type, (
% 6.55/4.43 send_message: ( $i * $i * $i * $i * $i ) > $o)).
% 6.55/4.43 tff(tptp_fun_X71_10_type, type, (
% 6.55/4.43 tptp_fun_X71_10: ( $i * $i ) > $i)).
% 6.55/4.43 tff(legal_type, type, (
% 6.55/4.43 legal: $i > $o)).
% 6.55/4.43 tff(1,plain,
% 6.55/4.43 (^[X55: $i, X56: $i] : refl((~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))))),
% 6.55/4.43 inference(bind,[status(th)],[])).
% 6.55/4.43 tff(2,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 6.55/4.43 inference(quant_intro,[status(thm)],[1])).
% 6.55/4.43 tff(3,plain,
% 6.55/4.43 (^[X55: $i, X56: $i] : rewrite((~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))))),
% 6.55/4.43 inference(bind,[status(th)],[])).
% 6.55/4.43 tff(4,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 6.55/4.43 inference(quant_intro,[status(thm)],[3])).
% 6.55/4.43 tff(5,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 6.55/4.43 inference(transitivity,[status(thm)],[4, 2])).
% 6.55/4.43 tff(6,plain,
% 6.55/4.43 (^[X55: $i, X56: $i] : trans(monotonicity(rewrite(((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) <=> ((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))), rewrite((leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))) <=> (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))), ((((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> (((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55)))))) & (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))))), rewrite((((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55)))))) & (leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))), ((((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))))),
% 6.55/4.43 inference(bind,[status(th)],[])).
% 6.55/4.43 tff(7,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))) <=> ![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 6.55/4.43 inference(quant_intro,[status(thm)],[6])).
% 6.55/4.43 tff(8,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))) <=> ![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 6.55/4.43 inference(rewrite,[status(thm)],[])).
% 6.55/4.43 tff(9,plain,
% 6.55/4.43 (^[X55: $i, X56: $i] : rewrite((leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57))) <=> (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57))))),
% 6.55/4.43 inference(bind,[status(th)],[])).
% 6.55/4.43 tff(10,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57))) <=> ![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 6.55/4.43 inference(quant_intro,[status(thm)],[9])).
% 6.55/4.43 tff(11,axiom,(![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : ((occurrence_of(X56, X57) & subactivity_occurrence(X55, X56)) & leaf(X55, X57)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_18')).
% 6.55/4.43 tff(12,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 6.55/4.43 inference(modus_ponens,[status(thm)],[11, 10])).
% 6.55/4.43 tff(13,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (leaf_occ(X55, X56) <=> ?[X57: $i] : (occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))),
% 6.55/4.43 inference(modus_ponens,[status(thm)],[12, 8])).
% 6.55/4.43 tff(14,plain,(
% 6.55/4.43 ![X55: $i, X56: $i] : (((~leaf_occ(X55, X56)) | (occurrence_of(X56, tptp_fun_X57_8(X56, X55)) & subactivity_occurrence(X55, X56) & leaf(X55, tptp_fun_X57_8(X56, X55)))) & (leaf_occ(X55, X56) | ![X57: $i] : (~(occurrence_of(X56, X57) & subactivity_occurrence(X55, X56) & leaf(X55, X57)))))),
% 6.55/4.43 inference(skolemize,[status(sab)],[13])).
% 6.55/4.43 tff(15,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 6.55/4.43 inference(modus_ponens,[status(thm)],[14, 7])).
% 6.55/4.43 tff(16,plain,
% 6.55/4.43 (![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))),
% 6.55/4.43 inference(modus_ponens,[status(thm)],[15, 5])).
% 6.55/4.43 tff(17,plain,
% 6.55/4.43 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57))))) | (~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21)))))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57))))) | (~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))))))),
% 6.55/4.43 inference(rewrite,[status(thm)],[])).
% 6.55/4.43 tff(18,plain,
% 6.55/4.43 ((~((~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))))) | (~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57)) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57))))))) <=> (~((~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57))))) | (~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21)))))))))),
% 6.55/4.43 inference(rewrite,[status(thm)],[])).
% 6.55/4.43 tff(19,plain,
% 6.55/4.43 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))))) | (~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57)) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57))))) | (~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))))))),
% 6.55/4.43 inference(monotonicity,[status(thm)],[18])).
% 6.55/4.43 tff(20,plain,
% 6.55/4.43 (((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))))) | (~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57)) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)))))))) <=> ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57))))) | (~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))))))),
% 6.55/4.43 inference(transitivity,[status(thm)],[19, 17])).
% 6.55/4.43 tff(21,plain,
% 6.55/4.43 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))))) | (~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57)) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)))))))),
% 6.55/4.43 inference(quant_inst,[status(thm)],[])).
% 6.55/4.43 tff(22,plain,
% 6.55/4.43 ((~![X55: $i, X56: $i] : (~((~((~leaf_occ(X55, X56)) | (~((~subactivity_occurrence(X55, X56)) | (~occurrence_of(X56, tptp_fun_X57_8(X56, X55))) | (~leaf(X55, tptp_fun_X57_8(X56, X55))))))) | (~(leaf_occ(X55, X56) | ![X57: $i] : ((~occurrence_of(X56, X57)) | (~subactivity_occurrence(X55, X56)) | (~leaf(X55, X57)))))))) | (~((~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57))))) | (~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21)))))))))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[21, 20])).
% 6.55/4.44 tff(23,plain,
% 6.55/4.44 (~((~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57))))) | (~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))))),
% 6.55/4.44 inference(unit_resolution,[status(thm)],[22, 16])).
% 6.55/4.44 tff(24,plain,
% 6.55/4.44 (((~(leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)) | ![X57: $i] : ((~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf(X158!21, X57)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), X57))))) | (~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21)))))))) | ((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))),
% 6.55/4.44 inference(tautology,[status(thm)],[])).
% 6.55/4.44 tff(25,plain,
% 6.55/4.44 ((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21)))))),
% 6.55/4.44 inference(unit_resolution,[status(thm)],[24, 23])).
% 6.55/4.44 tff(26,assumption,(~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))))), introduced(assumption)).
% 6.55/4.44 tff(27,plain,
% 6.55/4.44 (((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)))) | leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))),
% 6.55/4.44 inference(tautology,[status(thm)],[])).
% 6.55/4.44 tff(28,plain,
% 6.55/4.44 (leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))),
% 6.55/4.44 inference(unit_resolution,[status(thm)],[27, 26])).
% 6.55/4.44 tff(29,plain,
% 6.55/4.44 ((~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21)))))),
% 6.55/4.44 inference(tautology,[status(thm)],[])).
% 6.55/4.44 tff(30,plain,
% 6.55/4.44 ((~((~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21)))))),
% 6.55/4.44 inference(unit_resolution,[status(thm)],[29, 28])).
% 6.55/4.44 tff(31,plain,
% 6.55/4.44 (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21))))),
% 6.55/4.44 inference(unit_resolution,[status(thm)],[30, 25])).
% 6.55/4.44 tff(32,plain,
% 6.55/4.44 (((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~leaf(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~subactivity_occurrence(X158!21, tptp_fun_X27_3(tptp0, X158!21)))) | occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.55/4.44 inference(tautology,[status(thm)],[])).
% 6.55/4.44 tff(33,plain,
% 6.55/4.44 (occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.55/4.44 inference(unit_resolution,[status(thm)],[32, 31])).
% 6.55/4.44 tff(34,plain,
% 6.55/4.44 (((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)))) | occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)),
% 6.55/4.44 inference(tautology,[status(thm)],[])).
% 6.55/4.44 tff(35,plain,
% 6.55/4.44 (occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)),
% 6.55/4.44 inference(unit_resolution,[status(thm)],[34, 26])).
% 6.55/4.44 tff(36,plain,
% 6.55/4.44 (^[X28: $i, X29: $i, X30: $i] : refl(((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))),
% 6.55/4.44 inference(bind,[status(th)],[])).
% 6.55/4.44 tff(37,plain,
% 6.55/4.44 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) <=> ![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 6.55/4.44 inference(quant_intro,[status(thm)],[36])).
% 6.55/4.44 tff(38,plain,
% 6.55/4.44 (^[X28: $i, X29: $i, X30: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X28, X29) & occurrence_of(X28, X30)) <=> (~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))), ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) <=> (~(~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))))), rewrite((~(~((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))) <=> ((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))), ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) <=> ((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))))), (((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> (((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) | (X29 = X30)))), rewrite((((~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30))) | (X29 = X30)) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))), (((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))))),
% 6.55/4.44 inference(bind,[status(th)],[])).
% 6.55/4.44 tff(39,plain,
% 6.55/4.44 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 6.55/4.44 inference(quant_intro,[status(thm)],[38])).
% 6.55/4.44 tff(40,plain,
% 6.55/4.44 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 6.55/4.44 inference(rewrite,[status(thm)],[])).
% 6.55/4.44 tff(41,plain,
% 6.55/4.44 (^[X28: $i, X29: $i, X30: $i] : rewrite(((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30)) <=> ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30)))),
% 6.55/4.44 inference(bind,[status(th)],[])).
% 6.55/4.44 tff(42,plain,
% 6.55/4.44 (![X28: $i, X29: $i, X30: $i] : ((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30)) <=> ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 6.55/4.44 inference(quant_intro,[status(thm)],[41])).
% 6.55/4.44 tff(43,axiom,(![X28: $i, X29: $i, X30: $i] : ((occurrence_of(X28, X29) & occurrence_of(X28, X30)) => (X29 = X30))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_08')).
% 6.55/4.44 tff(44,plain,
% 6.55/4.44 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[43, 42])).
% 6.55/4.44 tff(45,plain,
% 6.55/4.44 (![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[44, 40])).
% 6.55/4.44 tff(46,plain,(
% 6.55/4.44 ![X28: $i, X29: $i, X30: $i] : ((~(occurrence_of(X28, X29) & occurrence_of(X28, X30))) | (X29 = X30))),
% 6.55/4.44 inference(skolemize,[status(sab)],[45])).
% 6.55/4.44 tff(47,plain,
% 6.55/4.44 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[46, 39])).
% 6.55/4.44 tff(48,plain,
% 6.55/4.44 (![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[47, 37])).
% 6.55/4.44 tff(49,plain,
% 6.55/4.44 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)))),
% 6.55/4.44 inference(rewrite,[status(thm)],[])).
% 6.55/4.44 tff(50,plain,
% 6.55/4.44 (((tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)))) <=> ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)))),
% 6.55/4.44 inference(rewrite,[status(thm)],[])).
% 6.55/4.44 tff(51,plain,
% 6.55/4.44 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))),
% 6.55/4.44 inference(monotonicity,[status(thm)],[50])).
% 6.55/4.44 tff(52,plain,
% 6.55/4.44 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)))),
% 6.55/4.44 inference(transitivity,[status(thm)],[51, 49])).
% 6.55/4.44 tff(53,plain,
% 6.55/4.44 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))),
% 6.55/4.44 inference(quant_inst,[status(thm)],[])).
% 6.55/4.44 tff(54,plain,
% 6.55/4.44 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[53, 52])).
% 6.55/4.44 tff(55,plain,
% 6.55/4.44 (tptp0 = tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)),
% 6.55/4.44 inference(unit_resolution,[status(thm)],[54, 48, 35, 33])).
% 6.55/4.44 tff(56,plain,
% 6.55/4.44 (tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21) = tptp0),
% 6.55/4.44 inference(symmetry,[status(thm)],[55])).
% 6.55/4.44 tff(57,plain,
% 6.55/4.44 (min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)),
% 6.55/4.44 inference(monotonicity,[status(thm)],[56])).
% 6.55/4.44 tff(58,plain,
% 6.55/4.44 (min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.55/4.44 inference(symmetry,[status(thm)],[57])).
% 6.55/4.44 tff(59,plain,
% 6.55/4.44 (^[X78: $i, X79: $i, X80: $i] : rewrite((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))))))),
% 6.55/4.44 inference(bind,[status(th)],[])).
% 6.55/4.44 tff(60,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))),
% 6.55/4.44 inference(quant_intro,[status(thm)],[59])).
% 6.55/4.44 tff(61,plain,
% 6.55/4.44 (^[X78: $i, X79: $i, X80: $i] : refl((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))))),
% 6.55/4.44 inference(bind,[status(th)],[])).
% 6.55/4.44 tff(62,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 6.55/4.44 inference(quant_intro,[status(thm)],[61])).
% 6.55/4.44 tff(63,plain,
% 6.55/4.44 (^[X78: $i, X79: $i, X80: $i] : rewrite((~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))))),
% 6.55/4.44 inference(bind,[status(th)],[])).
% 6.55/4.44 tff(64,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 6.55/4.44 inference(quant_intro,[status(thm)],[63])).
% 6.55/4.44 tff(65,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 6.55/4.44 inference(transitivity,[status(thm)],[64, 62])).
% 6.55/4.44 tff(66,plain,
% 6.55/4.44 (^[X78: $i, X79: $i, X80: $i] : trans(monotonicity(rewrite(((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) <=> ((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))), trans(monotonicity(rewrite((min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)) <=> (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))), ((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))), rewrite((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))), ((next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))) <=> (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))), ((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> (((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))))), rewrite((((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))), ((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))))),
% 6.55/4.44 inference(bind,[status(th)],[])).
% 6.55/4.44 tff(67,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))) <=> ![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 6.55/4.44 inference(quant_intro,[status(thm)],[66])).
% 6.55/4.44 tff(68,plain,
% 6.55/4.44 (^[X78: $i, X79: $i, X80: $i] : rewrite((((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))),
% 6.55/4.44 inference(bind,[status(th)],[])).
% 6.55/4.44 tff(69,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))) <=> ![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))),
% 6.55/4.44 inference(quant_intro,[status(thm)],[68])).
% 6.55/4.44 tff(70,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) <=> ![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))),
% 6.55/4.44 inference(rewrite,[status(thm)],[])).
% 6.55/4.44 tff(71,axiom,(![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_26')).
% 6.55/4.44 tff(72,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (next_subocc(X78, X79, X80) <=> (min_precedes(X78, X79, X80) & (~?[X81: $i] : (min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80)))))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[71, 70])).
% 6.55/4.44 tff(73,plain,(
% 6.55/4.44 ![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | ((~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))),
% 6.55/4.44 inference(skolemize,[status(sab)],[72])).
% 6.55/4.44 tff(74,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (((~next_subocc(X78, X79, X80)) | (min_precedes(X78, X79, X80) & ![X81: $i] : (~(min_precedes(X78, X81, X80) & min_precedes(X81, X79, X80))))) & (next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80) & min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[73, 69])).
% 6.55/4.44 tff(75,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[74, 67])).
% 6.55/4.44 tff(76,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (~((~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80)))))))) | (~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80))))))))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[75, 65])).
% 6.55/4.44 tff(77,plain,
% 6.55/4.44 (![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))),
% 6.55/4.44 inference(modus_ponens,[status(thm)],[76, 60])).
% 6.55/4.44 tff(78,plain,
% 6.55/4.44 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))))))))),
% 6.55/4.44 inference(rewrite,[status(thm)],[])).
% 6.55/4.44 tff(79,plain,
% 6.55/4.44 ((~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))))))) <=> (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))))))),
% 6.55/4.44 inference(rewrite,[status(thm)],[])).
% 6.55/4.44 tff(80,plain,
% 6.55/4.44 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))))))))),
% 6.55/4.44 inference(monotonicity,[status(thm)],[79])).
% 6.55/4.44 tff(81,plain,
% 6.55/4.44 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))))))))),
% 6.55/4.44 inference(transitivity,[status(thm)],[80, 78])).
% 6.55/4.44 tff(82,plain,
% 6.55/4.44 ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))))))),
% 6.55/4.45 inference(quant_inst,[status(thm)],[])).
% 6.55/4.45 tff(83,plain,
% 6.55/4.45 ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))))))),
% 6.55/4.45 inference(modus_ponens,[status(thm)],[82, 81])).
% 6.55/4.45 tff(84,plain,
% 6.55/4.45 (~((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))))))),
% 6.55/4.45 inference(unit_resolution,[status(thm)],[83, 77])).
% 6.55/4.45 tff(85,plain,
% 6.55/4.45 (((~((~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp0)) | (~min_precedes(tptp_fun_X81_11(tptp0, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21))), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))))) | ((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))))),
% 6.55/4.45 inference(tautology,[status(thm)],[])).
% 6.55/4.45 tff(86,plain,
% 6.55/4.45 ((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))),
% 6.55/4.45 inference(unit_resolution,[status(thm)],[85, 84])).
% 6.55/4.45 tff(87,plain,
% 6.55/4.45 (^[X101: $i] : refl(((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))))) <=> ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))))))),
% 6.55/4.45 inference(bind,[status(th)],[])).
% 6.55/4.45 tff(88,plain,
% 6.55/4.45 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))))) <=> ![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))),
% 6.55/4.45 inference(quant_intro,[status(thm)],[87])).
% 6.55/4.45 tff(89,plain,
% 6.55/4.45 (^[X101: $i] : rewrite(((~occurrence_of(X101, tptp0)) | (occurrence_of(tptp_fun_X102_13(X101), tptp4) & root_occ(tptp_fun_X102_13(X101), X101) & (occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3)) & leaf_occ(tptp_fun_X103_12(X101), X101) & next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))) <=> ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))))))),
% 6.55/4.45 inference(bind,[status(th)],[])).
% 6.55/4.45 tff(90,plain,
% 6.55/4.45 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | (occurrence_of(tptp_fun_X102_13(X101), tptp4) & root_occ(tptp_fun_X102_13(X101), X101) & (occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3)) & leaf_occ(tptp_fun_X103_12(X101), X101) & next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0))) <=> ![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))),
% 6.55/4.45 inference(quant_intro,[status(thm)],[89])).
% 6.55/4.45 tff(91,plain,
% 6.55/4.45 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))) <=> ![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 6.55/4.45 inference(rewrite,[status(thm)],[])).
% 6.55/4.45 tff(92,plain,
% 6.55/4.45 (^[X101: $i] : trans(monotonicity(quant_intro(proof_bind(^[X102: $i, X103: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2)) <=> (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))), (((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) <=> ((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))))), rewrite(((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)))), (((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))))), ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) <=> ((occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))) & leaf_occ(X103, X101)))), rewrite(((occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3))) & leaf_occ(X103, X101)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101))), ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)))), (((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> ((occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)))), rewrite(((occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))), (((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))))), (?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)) <=> ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))), ((occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0))) <=> (occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))))), rewrite((occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0))) <=> ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))), ((occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0))) <=> ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))))),
% 6.55/4.45 inference(bind,[status(th)],[])).
% 6.55/4.45 tff(93,plain,
% 6.55/4.45 (![X101: $i] : (occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0))) <=> ![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 6.55/4.45 inference(quant_intro,[status(thm)],[92])).
% 6.55/4.45 tff(94,axiom,(![X101: $i] : (occurrence_of(X101, tptp0) => ?[X102: $i, X103: $i] : ((((occurrence_of(X102, tptp4) & root_occ(X102, X101)) & (occurrence_of(X103, tptp3) | occurrence_of(X103, tptp2))) & leaf_occ(X103, X101)) & next_subocc(X102, X103, tptp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_32')).
% 6.55/4.45 tff(95,plain,
% 6.55/4.45 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 6.55/4.45 inference(modus_ponens,[status(thm)],[94, 93])).
% 6.55/4.45 tff(96,plain,
% 6.55/4.45 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | ?[X102: $i, X103: $i] : (occurrence_of(X102, tptp4) & root_occ(X102, X101) & (occurrence_of(X103, tptp2) | occurrence_of(X103, tptp3)) & leaf_occ(X103, X101) & next_subocc(X102, X103, tptp0)))),
% 6.55/4.45 inference(modus_ponens,[status(thm)],[95, 91])).
% 6.55/4.45 tff(97,plain,(
% 6.55/4.45 ![X101: $i] : ((~occurrence_of(X101, tptp0)) | (occurrence_of(tptp_fun_X102_13(X101), tptp4) & root_occ(tptp_fun_X102_13(X101), X101) & (occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3)) & leaf_occ(tptp_fun_X103_12(X101), X101) & next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))),
% 6.55/4.45 inference(skolemize,[status(sab)],[96])).
% 6.55/4.45 tff(98,plain,
% 6.55/4.45 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))),
% 6.55/4.45 inference(modus_ponens,[status(thm)],[97, 90])).
% 6.55/4.45 tff(99,plain,
% 6.55/4.45 (![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))),
% 6.55/4.45 inference(modus_ponens,[status(thm)],[98, 88])).
% 6.55/4.45 tff(100,plain,
% 6.55/4.45 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)))))),
% 6.55/4.45 inference(rewrite,[status(thm)],[])).
% 6.55/4.45 tff(101,plain,
% 6.55/4.45 (((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)))))),
% 6.55/4.45 inference(rewrite,[status(thm)],[])).
% 6.55/4.45 tff(102,plain,
% 6.55/4.45 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4))))))),
% 6.55/4.45 inference(monotonicity,[status(thm)],[101])).
% 6.55/4.45 tff(103,plain,
% 6.55/4.45 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)))))),
% 6.55/4.45 inference(transitivity,[status(thm)],[102, 100])).
% 6.55/4.45 tff(104,plain,
% 6.55/4.45 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)))))),
% 6.55/4.45 inference(quant_inst,[status(thm)],[])).
% 6.55/4.45 tff(105,plain,
% 6.55/4.45 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4))))),
% 6.55/4.45 inference(modus_ponens,[status(thm)],[104, 103])).
% 6.55/4.45 tff(106,plain,
% 6.55/4.45 (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4)))),
% 6.55/4.45 inference(unit_resolution,[status(thm)],[105, 99, 35])).
% 6.55/4.45 tff(107,plain,
% 6.55/4.45 (((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4))) | next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)),
% 6.55/4.45 inference(tautology,[status(thm)],[])).
% 6.55/4.45 tff(108,plain,
% 6.55/4.45 (next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)),
% 6.55/4.45 inference(unit_resolution,[status(thm)],[107, 106])).
% 6.55/4.45 tff(109,plain,
% 6.55/4.45 ((~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))),
% 6.55/4.45 inference(tautology,[status(thm)],[])).
% 6.55/4.45 tff(110,plain,
% 6.55/4.45 ((~((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))))),
% 6.55/4.45 inference(unit_resolution,[status(thm)],[109, 108])).
% 6.55/4.45 tff(111,plain,
% 6.55/4.45 (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0)))))),
% 6.55/4.45 inference(unit_resolution,[status(thm)],[110, 86])).
% 6.55/4.45 tff(112,plain,
% 6.55/4.45 (((~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), X81, tptp0))))) | min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)),
% 6.55/4.45 inference(tautology,[status(thm)],[])).
% 6.55/4.45 tff(113,plain,
% 6.55/4.45 (min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)),
% 6.55/4.45 inference(unit_resolution,[status(thm)],[112, 111])).
% 6.55/4.45 tff(114,plain,
% 6.55/4.45 (min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.55/4.45 inference(modus_ponens,[status(thm)],[113, 58])).
% 6.55/4.45 tff(115,plain,
% 6.55/4.45 (((~next_subocc(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp0)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp4))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))),
% 6.55/4.45 inference(tautology,[status(thm)],[])).
% 6.55/4.45 tff(116,plain,
% 6.55/4.45 (leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))),
% 6.55/4.45 inference(unit_resolution,[status(thm)],[115, 106])).
% 6.55/4.45 tff(117,plain,
% 6.55/4.45 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 6.55/4.45 inference(rewrite,[status(thm)],[])).
% 6.55/4.45 tff(118,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_34')).
% 6.55/4.45 tff(119,plain,
% 6.55/4.45 (~atomic(tptp0)),
% 6.55/4.45 inference(modus_ponens,[status(thm)],[118, 117])).
% 6.55/4.45 tff(120,plain,
% 6.55/4.45 (^[X86: $i, X87: $i, X88: $i, X89: $i] : refl((atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))),
% 6.55/4.45 inference(bind,[status(th)],[])).
% 6.55/4.45 tff(121,plain,
% 6.55/4.45 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 6.55/4.45 inference(quant_intro,[status(thm)],[120])).
% 6.55/4.45 tff(122,plain,
% 6.55/4.45 (^[X86: $i, X87: $i, X88: $i, X89: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) <=> (~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))), ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) <=> (~(~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))))), rewrite((~(~(atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))) <=> (atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))), ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) <=> (atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))))), (((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ((atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) | (X86 = X87)))), rewrite(((atomic(X89) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88))) | (X86 = X87)) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))), (((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))))),
% 6.55/4.45 inference(bind,[status(th)],[])).
% 6.55/4.45 tff(123,plain,
% 6.55/4.45 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 6.55/4.45 inference(quant_intro,[status(thm)],[122])).
% 6.55/4.45 tff(124,plain,
% 6.55/4.45 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 6.55/4.45 inference(rewrite,[status(thm)],[])).
% 6.55/4.45 tff(125,plain,
% 6.55/4.45 (^[X86: $i, X87: $i, X88: $i, X89: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88))), ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> ((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)))), rewrite(((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))), ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) <=> (occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)))), (((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) => (X86 = X87)))), rewrite(((occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))), (((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))))),
% 6.55/4.45 inference(bind,[status(th)],[])).
% 6.55/4.45 tff(126,plain,
% 6.55/4.45 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87)) <=> ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 6.55/4.45 inference(quant_intro,[status(thm)],[125])).
% 6.55/4.45 tff(127,axiom,(![X86: $i, X87: $i, X88: $i, X89: $i] : ((((occurrence_of(X88, X89) & (~atomic(X89))) & leaf_occ(X86, X88)) & leaf_occ(X87, X88)) => (X86 = X87))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_28')).
% 6.59/4.46 tff(128,plain,
% 6.59/4.46 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[127, 126])).
% 6.59/4.46 tff(129,plain,
% 6.59/4.46 (![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[128, 124])).
% 6.59/4.46 tff(130,plain,(
% 6.59/4.46 ![X86: $i, X87: $i, X88: $i, X89: $i] : ((~(occurrence_of(X88, X89) & (~atomic(X89)) & leaf_occ(X86, X88) & leaf_occ(X87, X88))) | (X86 = X87))),
% 6.59/4.46 inference(skolemize,[status(sab)],[129])).
% 6.59/4.46 tff(131,plain,
% 6.59/4.46 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[130, 123])).
% 6.59/4.46 tff(132,plain,
% 6.59/4.46 (![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[131, 121])).
% 6.59/4.46 tff(133,plain,
% 6.59/4.46 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(134,plain,
% 6.59/4.46 ((atomic(tptp0) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(135,plain,
% 6.59/4.46 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp0) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)))))),
% 6.59/4.46 inference(monotonicity,[status(thm)],[134])).
% 6.59/4.46 tff(136,plain,
% 6.59/4.46 (((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp0) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))))) <=> ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))))),
% 6.59/4.46 inference(transitivity,[status(thm)],[135, 133])).
% 6.59/4.46 tff(137,plain,
% 6.59/4.46 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | (atomic(tptp0) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))))),
% 6.59/4.46 inference(quant_inst,[status(thm)],[])).
% 6.59/4.46 tff(138,plain,
% 6.59/4.46 ((~![X86: $i, X87: $i, X88: $i, X89: $i] : (atomic(X89) | (X86 = X87) | (~occurrence_of(X88, X89)) | (~leaf_occ(X86, X88)) | (~leaf_occ(X87, X88)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X27_3(tptp0, X158!21))) | (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[137, 136])).
% 6.59/4.46 tff(139,plain,
% 6.59/4.46 (X158!21 = tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21))),
% 6.59/4.46 inference(unit_resolution,[status(thm)],[138, 132, 119, 35, 28, 116])).
% 6.59/4.46 tff(140,plain,
% 6.59/4.46 (tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)) = X158!21),
% 6.59/4.46 inference(symmetry,[status(thm)],[139])).
% 6.59/4.46 tff(141,plain,
% 6.59/4.46 (root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)) <=> root(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.59/4.46 inference(monotonicity,[status(thm)],[140])).
% 6.59/4.46 tff(142,plain,
% 6.59/4.46 (root(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)) <=> root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.59/4.46 inference(symmetry,[status(thm)],[141])).
% 6.59/4.46 tff(143,plain,
% 6.59/4.46 (root(X158!21, tptp0) <=> root(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.59/4.46 inference(monotonicity,[status(thm)],[55])).
% 6.59/4.46 tff(144,plain,
% 6.59/4.46 (?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157)) <=> ?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(145,plain,
% 6.59/4.46 ((~(~?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157)))) <=> ?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(146,plain,
% 6.59/4.46 ((~?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157))) <=> (~?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157)))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(147,plain,
% 6.59/4.46 ((~(~?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157)))) <=> (~(~?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157))))),
% 6.59/4.46 inference(monotonicity,[status(thm)],[146])).
% 6.59/4.46 tff(148,plain,
% 6.59/4.46 ((~(~?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157)))) <=> ?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157))),
% 6.59/4.46 inference(transitivity,[status(thm)],[147, 145])).
% 6.59/4.46 tff(149,axiom,(~(~?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 6.59/4.46 tff(150,plain,
% 6.59/4.46 (?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[149, 148])).
% 6.59/4.46 tff(151,plain,
% 6.59/4.46 (?[X157: $i, X158: $i, X159: $i] : (tptp1(X157, tptp0, X158) & occurrence_of(X159, X157))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[150, 144])).
% 6.59/4.46 tff(152,plain,(
% 6.59/4.46 tptp1(X157!22, tptp0, X158!21) & occurrence_of(X159!20, X157!22)),
% 6.59/4.46 inference(skolemize,[status(sab)],[151])).
% 6.59/4.46 tff(153,plain,
% 6.59/4.46 (tptp1(X157!22, tptp0, X158!21)),
% 6.59/4.46 inference(and_elim,[status(thm)],[152])).
% 6.59/4.46 tff(154,plain,
% 6.59/4.46 (^[X144: $i, X145: $i, X146: $i] : refl(((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144))))) <=> ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144))))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(155,plain,
% 6.59/4.46 (![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144))))) <=> ![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[154])).
% 6.59/4.46 tff(156,plain,
% 6.59/4.46 (^[X144: $i, X145: $i, X146: $i] : rewrite(((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145))) <=> ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144))))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(157,plain,
% 6.59/4.46 (![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145))) <=> ![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[156])).
% 6.59/4.46 tff(158,plain,
% 6.59/4.46 (![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145))) <=> ![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145)))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(159,plain,
% 6.59/4.46 (^[X144: $i, X145: $i, X146: $i] : trans(monotonicity(trans(monotonicity(rewrite(((activity(X144) & (~atomic(X144))) & (~atomic(X145))) <=> (activity(X144) & (~atomic(X144)) & (~atomic(X145)))), ((((activity(X144) & (~atomic(X144))) & (~atomic(X145))) & root(X146, X145)) <=> ((activity(X144) & (~atomic(X144)) & (~atomic(X145))) & root(X146, X145)))), rewrite(((activity(X144) & (~atomic(X144)) & (~atomic(X145))) & root(X146, X145)) <=> (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145))), ((((activity(X144) & (~atomic(X144))) & (~atomic(X145))) & root(X146, X145)) <=> (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145)))), ((tptp1(X144, X145, X146) => (((activity(X144) & (~atomic(X144))) & (~atomic(X145))) & root(X146, X145))) <=> (tptp1(X144, X145, X146) => (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145))))), rewrite((tptp1(X144, X145, X146) => (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145))) <=> ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145)))), ((tptp1(X144, X145, X146) => (((activity(X144) & (~atomic(X144))) & (~atomic(X145))) & root(X146, X145))) <=> ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145)))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(160,plain,
% 6.59/4.46 (![X144: $i, X145: $i, X146: $i] : (tptp1(X144, X145, X146) => (((activity(X144) & (~atomic(X144))) & (~atomic(X145))) & root(X146, X145))) <=> ![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145)))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[159])).
% 6.59/4.46 tff(161,axiom,(![X144: $i, X145: $i, X146: $i] : (tptp1(X144, X145, X146) => (((activity(X144) & (~atomic(X144))) & (~atomic(X145))) & root(X146, X145)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_52')).
% 6.59/4.46 tff(162,plain,
% 6.59/4.46 (![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[161, 160])).
% 6.59/4.46 tff(163,plain,
% 6.59/4.46 (![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[162, 158])).
% 6.59/4.46 tff(164,plain,(
% 6.59/4.46 ![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (activity(X144) & (~atomic(X144)) & (~atomic(X145)) & root(X146, X145)))),
% 6.59/4.46 inference(skolemize,[status(sab)],[163])).
% 6.59/4.46 tff(165,plain,
% 6.59/4.46 (![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[164, 157])).
% 6.59/4.46 tff(166,plain,
% 6.59/4.46 (![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[165, 155])).
% 6.59/4.46 tff(167,plain,
% 6.59/4.46 (((~![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))) | ((~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~activity(X157!22)) | (~root(X158!21, tptp0)))))) <=> ((~![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))) | (~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~activity(X157!22)) | (~root(X158!21, tptp0)))))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(168,plain,
% 6.59/4.46 (((~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~root(X158!21, tptp0)) | (~activity(X157!22))))) <=> ((~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~activity(X157!22)) | (~root(X158!21, tptp0)))))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(169,plain,
% 6.59/4.46 (((~![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))) | ((~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~root(X158!21, tptp0)) | (~activity(X157!22)))))) <=> ((~![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))) | ((~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~activity(X157!22)) | (~root(X158!21, tptp0))))))),
% 6.59/4.46 inference(monotonicity,[status(thm)],[168])).
% 6.59/4.46 tff(170,plain,
% 6.59/4.46 (((~![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))) | ((~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~root(X158!21, tptp0)) | (~activity(X157!22)))))) <=> ((~![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))) | (~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~activity(X157!22)) | (~root(X158!21, tptp0)))))),
% 6.59/4.46 inference(transitivity,[status(thm)],[169, 167])).
% 6.59/4.46 tff(171,plain,
% 6.59/4.46 ((~![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))) | ((~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~root(X158!21, tptp0)) | (~activity(X157!22)))))),
% 6.59/4.46 inference(quant_inst,[status(thm)],[])).
% 6.59/4.46 tff(172,plain,
% 6.59/4.46 ((~![X144: $i, X145: $i, X146: $i] : ((~tptp1(X144, X145, X146)) | (~(atomic(X145) | atomic(X144) | (~root(X146, X145)) | (~activity(X144)))))) | (~tptp1(X157!22, tptp0, X158!21)) | (~(atomic(tptp0) | atomic(X157!22) | (~activity(X157!22)) | (~root(X158!21, tptp0))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[171, 170])).
% 6.59/4.46 tff(173,plain,
% 6.59/4.46 (~(atomic(tptp0) | atomic(X157!22) | (~activity(X157!22)) | (~root(X158!21, tptp0)))),
% 6.59/4.46 inference(unit_resolution,[status(thm)],[172, 166, 153])).
% 6.59/4.46 tff(174,plain,
% 6.59/4.46 ((atomic(tptp0) | atomic(X157!22) | (~activity(X157!22)) | (~root(X158!21, tptp0))) | root(X158!21, tptp0)),
% 6.59/4.46 inference(tautology,[status(thm)],[])).
% 6.59/4.46 tff(175,plain,
% 6.59/4.46 (root(X158!21, tptp0)),
% 6.59/4.46 inference(unit_resolution,[status(thm)],[174, 173])).
% 6.59/4.46 tff(176,plain,
% 6.59/4.46 (root(X158!21, tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[175, 143])).
% 6.59/4.46 tff(177,plain,
% 6.59/4.46 (root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[176, 142])).
% 6.59/4.46 tff(178,plain,
% 6.59/4.46 (^[X65: $i, X66: $i, X67: $i] : refl(((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(179,plain,
% 6.59/4.46 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[178])).
% 6.59/4.46 tff(180,plain,
% 6.59/4.46 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(181,plain,
% 6.59/4.46 (^[X65: $i, X66: $i, X67: $i] : rewrite((min_precedes(X65, X66, X67) => (~root(X66, X67))) <=> ((~root(X66, X67)) | (~min_precedes(X65, X66, X67))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(182,plain,
% 6.59/4.46 (![X65: $i, X66: $i, X67: $i] : (min_precedes(X65, X66, X67) => (~root(X66, X67))) <=> ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[181])).
% 6.59/4.46 tff(183,axiom,(![X65: $i, X66: $i, X67: $i] : (min_precedes(X65, X66, X67) => (~root(X66, X67)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_22')).
% 6.59/4.46 tff(184,plain,
% 6.59/4.46 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[183, 182])).
% 6.59/4.46 tff(185,plain,
% 6.59/4.46 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[184, 180])).
% 6.59/4.46 tff(186,plain,(
% 6.59/4.46 ![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 6.59/4.46 inference(skolemize,[status(sab)],[185])).
% 6.59/4.46 tff(187,plain,
% 6.59/4.46 (![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[186, 179])).
% 6.59/4.46 tff(188,plain,
% 6.59/4.46 (((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))) <=> ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(189,plain,
% 6.59/4.46 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))))),
% 6.59/4.46 inference(quant_inst,[status(thm)],[])).
% 6.59/4.46 tff(190,plain,
% 6.59/4.46 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[189, 188])).
% 6.59/4.46 tff(191,plain,
% 6.59/4.46 ((~root(tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X103_12(tptp_fun_X27_3(tptp0, X158!21)), tptp_fun_X57_8(tptp_fun_X27_3(tptp0, X158!21), X158!21)))),
% 6.59/4.46 inference(unit_resolution,[status(thm)],[190, 187])).
% 6.59/4.46 tff(192,plain,
% 6.59/4.46 ($false),
% 6.59/4.46 inference(unit_resolution,[status(thm)],[191, 177, 114])).
% 6.59/4.46 tff(193,plain,((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)))), inference(lemma,lemma(discharge,[]))).
% 6.59/4.46 tff(194,assumption,(leaf(X158!21, tptp0)), introduced(assumption)).
% 6.59/4.46 tff(195,plain,
% 6.59/4.46 (^[X25: $i, X26: $i] : refl((atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(196,plain,
% 6.59/4.46 (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> ![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[195])).
% 6.59/4.46 tff(197,plain,
% 6.59/4.46 (^[X25: $i, X26: $i] : trans(monotonicity(trans(monotonicity(rewrite((leaf(X25, X26) & (~atomic(X26))) <=> (~(atomic(X26) | (~leaf(X25, X26))))), ((~(leaf(X25, X26) & (~atomic(X26)))) <=> (~(~(atomic(X26) | (~leaf(X25, X26))))))), rewrite((~(~(atomic(X26) | (~leaf(X25, X26))))) <=> (atomic(X26) | (~leaf(X25, X26)))), ((~(leaf(X25, X26) & (~atomic(X26)))) <=> (atomic(X26) | (~leaf(X25, X26))))), rewrite((occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25))) <=> (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))), (((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> ((atomic(X26) | (~leaf(X25, X26))) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))))), rewrite(((atomic(X26) | (~leaf(X25, X26))) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25)))))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))), (((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(198,plain,
% 6.59/4.46 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25)))) <=> ![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[197])).
% 6.59/4.46 tff(199,plain,
% 6.59/4.46 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(200,plain,
% 6.59/4.46 (^[X25: $i, X26: $i] : rewrite(((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(201,plain,
% 6.59/4.46 (![X25: $i, X26: $i] : ((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27))) <=> ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[200])).
% 6.59/4.46 tff(202,axiom,(![X25: $i, X26: $i] : ((leaf(X25, X26) & (~atomic(X26))) => ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_07')).
% 6.59/4.46 tff(203,plain,
% 6.59/4.46 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[202, 201])).
% 6.59/4.46 tff(204,plain,
% 6.59/4.46 (![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | ?[X27: $i] : (occurrence_of(X27, X26) & leaf_occ(X25, X27)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[203, 199])).
% 6.59/4.46 tff(205,plain,(
% 6.59/4.46 ![X25: $i, X26: $i] : ((~(leaf(X25, X26) & (~atomic(X26)))) | (occurrence_of(tptp_fun_X27_3(X26, X25), X26) & leaf_occ(X25, tptp_fun_X27_3(X26, X25))))),
% 6.59/4.46 inference(skolemize,[status(sab)],[204])).
% 6.59/4.46 tff(206,plain,
% 6.59/4.46 (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[205, 198])).
% 6.59/4.46 tff(207,plain,
% 6.59/4.46 (![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[206, 196])).
% 6.59/4.46 tff(208,plain,
% 6.59/4.46 (((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | (atomic(tptp0) | (~leaf(X158!21, tptp0)) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))) <=> ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp0) | (~leaf(X158!21, tptp0)) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(209,plain,
% 6.59/4.46 ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | (atomic(tptp0) | (~leaf(X158!21, tptp0)) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21))))))),
% 6.59/4.46 inference(quant_inst,[status(thm)],[])).
% 6.59/4.46 tff(210,plain,
% 6.59/4.46 ((~![X25: $i, X26: $i] : (atomic(X26) | (~leaf(X25, X26)) | (~((~occurrence_of(tptp_fun_X27_3(X26, X25), X26)) | (~leaf_occ(X25, tptp_fun_X27_3(X26, X25))))))) | atomic(tptp0) | (~leaf(X158!21, tptp0)) | (~((~occurrence_of(tptp_fun_X27_3(tptp0, X158!21), tptp0)) | (~leaf_occ(X158!21, tptp_fun_X27_3(tptp0, X158!21)))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[209, 208])).
% 6.59/4.46 tff(211,plain,
% 6.59/4.46 ($false),
% 6.59/4.46 inference(unit_resolution,[status(thm)],[210, 207, 119, 194, 193])).
% 6.59/4.46 tff(212,plain,(~leaf(X158!21, tptp0)), inference(lemma,lemma(discharge,[]))).
% 6.59/4.46 tff(213,plain,
% 6.59/4.46 (^[X47: $i, X48: $i] : refl((~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(214,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> ![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[213])).
% 6.59/4.46 tff(215,plain,
% 6.59/4.46 (^[X47: $i, X48: $i] : rewrite((~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(216,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> ![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[215])).
% 6.59/4.46 tff(217,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))) <=> ![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 6.59/4.46 inference(transitivity,[status(thm)],[216, 214])).
% 6.59/4.46 tff(218,plain,
% 6.59/4.46 (^[X47: $i, X48: $i] : trans(monotonicity(rewrite(((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) <=> ((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))), trans(monotonicity(rewrite(((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) <=> (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))), ((leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)) <=> (leaf(X47, X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))), rewrite((leaf(X47, X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)) <=> (leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))), ((leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)) <=> (leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))), ((((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))) <=> (((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48)))))) & (leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))))), rewrite((((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48)))))) & (leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48))))))) <=> (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))), ((((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))) <=> (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(219,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))) <=> ![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[218])).
% 6.59/4.46 tff(220,plain,
% 6.59/4.46 (^[X47: $i, X48: $i] : rewrite((((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | (((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))) <=> (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))))),
% 6.59/4.46 inference(bind,[status(th)],[])).
% 6.59/4.46 tff(221,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | (((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))) <=> ![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))),
% 6.59/4.46 inference(quant_intro,[status(thm)],[220])).
% 6.59/4.46 tff(222,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48)))) <=> ![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48))))),
% 6.59/4.46 inference(rewrite,[status(thm)],[])).
% 6.59/4.46 tff(223,axiom,(![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_15')).
% 6.59/4.46 tff(224,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (leaf(X47, X48) <=> ((root(X47, X48) | ?[X49: $i] : min_precedes(X49, X47, X48)) & (~?[X50: $i] : min_precedes(X47, X50, X48))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[223, 222])).
% 6.59/4.46 tff(225,plain,(
% 6.59/4.46 ![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | (((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48))))),
% 6.59/4.46 inference(skolemize,[status(sab)],[224])).
% 6.59/4.46 tff(226,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (((~leaf(X47, X48)) | ((root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48)) & ![X50: $i] : (~min_precedes(X47, X50, X48)))) & (leaf(X47, X48) | ((~root(X47, X48)) & ![X49: $i] : (~min_precedes(X49, X47, X48))) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48)))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[225, 221])).
% 6.59/4.46 tff(227,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[226, 219])).
% 6.59/4.46 tff(228,plain,
% 6.59/4.46 (![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))),
% 6.59/4.46 inference(modus_ponens,[status(thm)],[227, 217])).
% 6.59/4.46 tff(229,plain,
% 6.59/4.46 ((~![X47: $i, X48: $i] : (~((~((~leaf(X47, X48)) | (~((~(root(X47, X48) | min_precedes(tptp_fun_X49_6(X48, X47), X47, X48))) | (~![X50: $i] : (~min_precedes(X47, X50, X48))))))) | (~(leaf(X47, X48) | min_precedes(X47, tptp_fun_X50_7(X48, X47), X48) | (~(root(X47, X48) | (~![X49: $i] : (~min_precedes(X49, X47, X48)))))))))) | (~((~((~leaf(X158!21, tptp0)) | (~((~(root(X158!21, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X158!21), X158!21, tptp0))) | (~![X50: $i] : (~min_precedes(X158!21, X50, tptp0))))))) | (~(leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) | (~(root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0)))))))))),
% 6.59/4.46 inference(quant_inst,[status(thm)],[])).
% 6.59/4.46 tff(230,plain,
% 6.59/4.46 (~((~((~leaf(X158!21, tptp0)) | (~((~(root(X158!21, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X158!21), X158!21, tptp0))) | (~![X50: $i] : (~min_precedes(X158!21, X50, tptp0))))))) | (~(leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) | (~(root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0))))))))),
% 6.59/4.46 inference(unit_resolution,[status(thm)],[229, 228])).
% 6.59/4.46 tff(231,plain,
% 6.59/4.46 (((~((~leaf(X158!21, tptp0)) | (~((~(root(X158!21, tptp0) | min_precedes(tptp_fun_X49_6(tptp0, X158!21), X158!21, tptp0))) | (~![X50: $i] : (~min_precedes(X158!21, X50, tptp0))))))) | (~(leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) | (~(root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0)))))))) | (leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) | (~(root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0))))))),
% 6.59/4.46 inference(tautology,[status(thm)],[])).
% 6.59/4.46 tff(232,plain,
% 6.59/4.46 (leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) | (~(root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0)))))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[231, 230])).
% 6.59/4.47 tff(233,plain,
% 6.59/4.47 ((root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0)))) | (~root(X158!21, tptp0))),
% 6.59/4.47 inference(tautology,[status(thm)],[])).
% 6.59/4.47 tff(234,plain,
% 6.59/4.47 (root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0)))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[233, 175])).
% 6.59/4.47 tff(235,plain,
% 6.59/4.47 ((~(leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) | (~(root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0))))))) | leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) | (~(root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0)))))),
% 6.59/4.47 inference(tautology,[status(thm)],[])).
% 6.59/4.47 tff(236,plain,
% 6.59/4.47 ((~(leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) | (~(root(X158!21, tptp0) | (~![X49: $i] : (~min_precedes(X49, X158!21, tptp0))))))) | leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[235, 234])).
% 6.59/4.47 tff(237,plain,
% 6.59/4.47 (leaf(X158!21, tptp0) | min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[236, 232])).
% 6.59/4.47 tff(238,plain,
% 6.59/4.47 (min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[237, 212])).
% 6.59/4.47 tff(239,plain,
% 6.59/4.47 (^[X21: $i, X22: $i, X23: $i] : refl(((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))) <=> ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(240,plain,
% 6.59/4.47 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[239])).
% 6.59/4.47 tff(241,plain,
% 6.59/4.47 (^[X21: $i, X22: $i, X23: $i] : rewrite(((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))) <=> ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(242,plain,
% 6.59/4.47 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21)))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[241])).
% 6.59/4.47 tff(243,plain,
% 6.59/4.47 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(244,plain,
% 6.59/4.47 (^[X21: $i, X22: $i, X23: $i] : trans(monotonicity(quant_intro(proof_bind(^[X24: $i] : rewrite(((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)) <=> (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), (?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)) <=> ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), ((min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> (min_precedes(X22, X23, X21) => ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))))), rewrite((min_precedes(X22, X23, X21) => ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24))) <=> ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))), ((min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(245,plain,
% 6.59/4.47 (![X21: $i, X22: $i, X23: $i] : (min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24))) <=> ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[244])).
% 6.59/4.47 tff(246,axiom,(![X21: $i, X22: $i, X23: $i] : (min_precedes(X22, X23, X21) => ?[X24: $i] : ((occurrence_of(X24, X21) & subactivity_occurrence(X22, X24)) & subactivity_occurrence(X23, X24)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_06')).
% 6.59/4.47 tff(247,plain,
% 6.59/4.47 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[246, 245])).
% 6.59/4.47 tff(248,plain,
% 6.59/4.47 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | ?[X24: $i] : (occurrence_of(X24, X21) & subactivity_occurrence(X22, X24) & subactivity_occurrence(X23, X24)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[247, 243])).
% 6.59/4.47 tff(249,plain,(
% 6.59/4.47 ![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21) & subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21)) & subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))),
% 6.59/4.47 inference(skolemize,[status(sab)],[248])).
% 6.59/4.47 tff(250,plain,
% 6.59/4.47 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[249, 242])).
% 6.59/4.47 tff(251,plain,
% 6.59/4.47 (![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[250, 240])).
% 6.59/4.47 tff(252,plain,
% 6.59/4.47 (((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))) <=> ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(253,plain,
% 6.59/4.47 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.59/4.47 inference(quant_inst,[status(thm)],[])).
% 6.59/4.47 tff(254,plain,
% 6.59/4.47 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[253, 252])).
% 6.59/4.47 tff(255,plain,
% 6.59/4.47 (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[254, 251, 238])).
% 6.59/4.47 tff(256,plain,
% 6.59/4.47 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.59/4.47 inference(tautology,[status(thm)],[])).
% 6.59/4.47 tff(257,plain,
% 6.59/4.47 (subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[256, 255])).
% 6.59/4.47 tff(258,plain,
% 6.59/4.47 (^[X39: $i, X40: $i] : refl(((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39))))) <=> ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39))))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(259,plain,
% 6.59/4.47 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39))))) <=> ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[258])).
% 6.59/4.47 tff(260,plain,
% 6.59/4.47 (^[X39: $i, X40: $i] : rewrite(((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40))) <=> ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39))))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(261,plain,
% 6.59/4.47 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40))) <=> ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[260])).
% 6.59/4.47 tff(262,plain,
% 6.59/4.47 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40))) <=> ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(263,plain,
% 6.59/4.47 (^[X39: $i, X40: $i] : rewrite((subactivity_occurrence(X39, X40) => (activity_occurrence(X39) & activity_occurrence(X40))) <=> ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(264,plain,
% 6.59/4.47 (![X39: $i, X40: $i] : (subactivity_occurrence(X39, X40) => (activity_occurrence(X39) & activity_occurrence(X40))) <=> ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[263])).
% 6.59/4.47 tff(265,axiom,(![X39: $i, X40: $i] : (subactivity_occurrence(X39, X40) => (activity_occurrence(X39) & activity_occurrence(X40)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_11')).
% 6.59/4.47 tff(266,plain,
% 6.59/4.47 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[265, 264])).
% 6.59/4.47 tff(267,plain,
% 6.59/4.47 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[266, 262])).
% 6.59/4.47 tff(268,plain,(
% 6.59/4.47 ![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (activity_occurrence(X39) & activity_occurrence(X40)))),
% 6.59/4.47 inference(skolemize,[status(sab)],[267])).
% 6.59/4.47 tff(269,plain,
% 6.59/4.47 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[268, 261])).
% 6.59/4.47 tff(270,plain,
% 6.59/4.47 (![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[269, 259])).
% 6.59/4.47 tff(271,plain,
% 6.59/4.47 (((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))) <=> ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(272,plain,
% 6.59/4.47 (((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21)))))) <=> ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(273,plain,
% 6.59/4.47 (((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))))))) <=> ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))),
% 6.59/4.47 inference(monotonicity,[status(thm)],[272])).
% 6.59/4.47 tff(274,plain,
% 6.59/4.47 (((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))))))) <=> ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.59/4.47 inference(transitivity,[status(thm)],[273, 271])).
% 6.59/4.47 tff(275,plain,
% 6.59/4.47 ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))))))),
% 6.59/4.47 inference(quant_inst,[status(thm)],[])).
% 6.59/4.47 tff(276,plain,
% 6.59/4.47 ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[275, 274])).
% 6.59/4.47 tff(277,plain,
% 6.59/4.47 (~((~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[276, 270, 257])).
% 6.59/4.47 tff(278,plain,
% 6.59/4.47 (((~activity_occurrence(tptp_fun_X50_7(tptp0, X158!21))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.59/4.47 inference(tautology,[status(thm)],[])).
% 6.59/4.47 tff(279,plain,
% 6.59/4.47 (activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[278, 277])).
% 6.59/4.47 tff(280,plain,
% 6.59/4.47 (^[X41: $i] : refl(((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))) <=> ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(281,plain,
% 6.59/4.47 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[280])).
% 6.59/4.47 tff(282,plain,
% 6.59/4.47 (^[X41: $i] : rewrite(((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41)))) <=> ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41)))))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(283,plain,
% 6.59/4.47 (![X41: $i] : ((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41)))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[282])).
% 6.59/4.47 tff(284,plain,
% 6.59/4.47 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(285,plain,
% 6.59/4.47 (^[X41: $i] : rewrite((activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(286,plain,
% 6.59/4.47 (![X41: $i] : (activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42))) <=> ![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[285])).
% 6.59/4.47 tff(287,axiom,(![X41: $i] : (activity_occurrence(X41) => ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_12')).
% 6.59/4.47 tff(288,plain,
% 6.59/4.47 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[287, 286])).
% 6.59/4.47 tff(289,plain,
% 6.59/4.47 (![X41: $i] : ((~activity_occurrence(X41)) | ?[X42: $i] : (activity(X42) & occurrence_of(X41, X42)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[288, 284])).
% 6.59/4.47 tff(290,plain,(
% 6.59/4.47 ![X41: $i] : ((~activity_occurrence(X41)) | (activity(tptp_fun_X42_4(X41)) & occurrence_of(X41, tptp_fun_X42_4(X41))))),
% 6.59/4.47 inference(skolemize,[status(sab)],[289])).
% 6.59/4.47 tff(291,plain,
% 6.59/4.47 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[290, 283])).
% 6.59/4.47 tff(292,plain,
% 6.59/4.47 (![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[291, 281])).
% 6.59/4.47 tff(293,plain,
% 6.59/4.47 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(294,plain,
% 6.59/4.47 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))),
% 6.59/4.47 inference(quant_inst,[status(thm)],[])).
% 6.59/4.47 tff(295,plain,
% 6.59/4.47 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[294, 293])).
% 6.59/4.47 tff(296,plain,
% 6.59/4.47 (~((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[295, 292, 279])).
% 6.59/4.47 tff(297,plain,
% 6.59/4.47 (((~activity(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.47 inference(tautology,[status(thm)],[])).
% 6.59/4.47 tff(298,plain,
% 6.59/4.47 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[297, 296])).
% 6.59/4.47 tff(299,plain,
% 6.59/4.47 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)),
% 6.59/4.47 inference(tautology,[status(thm)],[])).
% 6.59/4.47 tff(300,plain,
% 6.59/4.47 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[299, 255])).
% 6.59/4.47 tff(301,plain,
% 6.59/4.47 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(302,plain,
% 6.59/4.47 (((tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(303,plain,
% 6.59/4.47 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.47 inference(monotonicity,[status(thm)],[302])).
% 6.59/4.47 tff(304,plain,
% 6.59/4.47 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.59/4.47 inference(transitivity,[status(thm)],[303, 301])).
% 6.59/4.47 tff(305,plain,
% 6.59/4.47 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.47 inference(quant_inst,[status(thm)],[])).
% 6.59/4.47 tff(306,plain,
% 6.59/4.47 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[305, 304])).
% 6.59/4.47 tff(307,plain,
% 6.59/4.47 (tptp0 = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.59/4.47 inference(unit_resolution,[status(thm)],[306, 48, 300, 298])).
% 6.59/4.47 tff(308,plain,
% 6.59/4.47 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.47 inference(monotonicity,[status(thm)],[307])).
% 6.59/4.47 tff(309,plain,
% 6.59/4.47 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)),
% 6.59/4.47 inference(symmetry,[status(thm)],[308])).
% 6.59/4.47 tff(310,plain,
% 6.59/4.47 (occurrence_of(X159!20, X157!22)),
% 6.59/4.47 inference(and_elim,[status(thm)],[152])).
% 6.59/4.47 tff(311,plain,
% 6.59/4.47 (^[X147: $i, X148: $i, X149: $i, X150: $i] : refl(((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))))) <=> ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(312,plain,
% 6.59/4.47 (![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))))) <=> ![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[311])).
% 6.59/4.47 tff(313,plain,
% 6.59/4.47 (^[X147: $i, X148: $i, X149: $i, X150: $i] : trans(monotonicity(trans(monotonicity(rewrite((tptp1(X147, X148, X149) & occurrence_of(X150, X147)) <=> (~((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147))))), ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) <=> (~(~((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147))))))), rewrite((~(~((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147))))) <=> ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)))), ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) <=> ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147))))), rewrite((transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148) & occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148)) & subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)) <=> (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))))), (((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | (transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148) & occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148)) & subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))) <=> (((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147))) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))))))), rewrite((((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147))) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))))) <=> ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))), (((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | (transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148) & occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148)) & subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))) <=> ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(314,plain,
% 6.59/4.47 (![X147: $i, X148: $i, X149: $i, X150: $i] : ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | (transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148) & occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148)) & subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150))) <=> ![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[313])).
% 6.59/4.47 tff(315,plain,
% 6.59/4.47 (![X147: $i, X148: $i, X149: $i, X150: $i] : ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150))) <=> ![X147: $i, X148: $i, X149: $i, X150: $i] : ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150)))),
% 6.59/4.47 inference(rewrite,[status(thm)],[])).
% 6.59/4.47 tff(316,plain,
% 6.59/4.47 (^[X147: $i, X148: $i, X149: $i, X150: $i] : trans(monotonicity(quant_intro(proof_bind(^[X151: $i, X152: $i, X153: $i, X154: $i] : rewrite(((transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151)) & subactivity_occurrence(X154, X150)) <=> (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150)))), (?[X151: $i, X152: $i, X153: $i, X154: $i] : ((transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151)) & subactivity_occurrence(X154, X150)) <=> ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150)))), (((tptp1(X147, X148, X149) & occurrence_of(X150, X147)) => ?[X151: $i, X152: $i, X153: $i, X154: $i] : ((transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151)) & subactivity_occurrence(X154, X150))) <=> ((tptp1(X147, X148, X149) & occurrence_of(X150, X147)) => ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150))))), rewrite(((tptp1(X147, X148, X149) & occurrence_of(X150, X147)) => ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150))) <=> ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150)))), (((tptp1(X147, X148, X149) & occurrence_of(X150, X147)) => ?[X151: $i, X152: $i, X153: $i, X154: $i] : ((transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151)) & subactivity_occurrence(X154, X150))) <=> ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150)))))),
% 6.59/4.47 inference(bind,[status(th)],[])).
% 6.59/4.47 tff(317,plain,
% 6.59/4.47 (![X147: $i, X148: $i, X149: $i, X150: $i] : ((tptp1(X147, X148, X149) & occurrence_of(X150, X147)) => ?[X151: $i, X152: $i, X153: $i, X154: $i] : ((transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151)) & subactivity_occurrence(X154, X150))) <=> ![X147: $i, X148: $i, X149: $i, X150: $i] : ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150)))),
% 6.59/4.47 inference(quant_intro,[status(thm)],[316])).
% 6.59/4.47 tff(318,axiom,(![X147: $i, X148: $i, X149: $i, X150: $i] : ((tptp1(X147, X148, X149) & occurrence_of(X150, X147)) => ?[X151: $i, X152: $i, X153: $i, X154: $i] : ((transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151)) & subactivity_occurrence(X154, X150)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_53')).
% 6.59/4.47 tff(319,plain,
% 6.59/4.47 (![X147: $i, X148: $i, X149: $i, X150: $i] : ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[318, 317])).
% 6.59/4.47 tff(320,plain,
% 6.59/4.47 (![X147: $i, X148: $i, X149: $i, X150: $i] : ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | ?[X151: $i, X152: $i, X153: $i, X154: $i] : (transmit_message(X151, X152, X153, X149, X148) & occurrence_of(X154, X151) & subactivity_occurrence(X154, X150)))),
% 6.59/4.47 inference(modus_ponens,[status(thm)],[319, 315])).
% 6.59/4.47 tff(321,plain,(
% 6.59/4.48 ![X147: $i, X148: $i, X149: $i, X150: $i] : ((~(tptp1(X147, X148, X149) & occurrence_of(X150, X147))) | (transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148) & occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148)) & subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))),
% 6.59/4.48 inference(skolemize,[status(sab)],[320])).
% 6.59/4.48 tff(322,plain,
% 6.59/4.48 (![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[321, 314])).
% 6.59/4.48 tff(323,plain,
% 6.59/4.48 (![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[322, 312])).
% 6.59/4.48 tff(324,plain,
% 6.59/4.48 (((~![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))) | ((~occurrence_of(X159!20, X157!22)) | (~tptp1(X157!22, tptp0, X158!21)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))) <=> ((~![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))) | (~occurrence_of(X159!20, X157!22)) | (~tptp1(X157!22, tptp0, X158!21)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(325,plain,
% 6.59/4.48 (((~tptp1(X157!22, tptp0, X158!21)) | (~occurrence_of(X159!20, X157!22)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))))) <=> ((~occurrence_of(X159!20, X157!22)) | (~tptp1(X157!22, tptp0, X158!21)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(326,plain,
% 6.59/4.48 ((~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))) <=> (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(327,plain,
% 6.59/4.48 (((~tptp1(X157!22, tptp0, X158!21)) | (~occurrence_of(X159!20, X157!22)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))))) <=> ((~tptp1(X157!22, tptp0, X158!21)) | (~occurrence_of(X159!20, X157!22)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))),
% 6.59/4.48 inference(monotonicity,[status(thm)],[326])).
% 6.59/4.48 tff(328,plain,
% 6.59/4.48 (((~tptp1(X157!22, tptp0, X158!21)) | (~occurrence_of(X159!20, X157!22)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))))) <=> ((~occurrence_of(X159!20, X157!22)) | (~tptp1(X157!22, tptp0, X158!21)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))),
% 6.59/4.48 inference(transitivity,[status(thm)],[327, 325])).
% 6.59/4.48 tff(329,plain,
% 6.59/4.48 (((~![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))) | ((~tptp1(X157!22, tptp0, X158!21)) | (~occurrence_of(X159!20, X157!22)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))) <=> ((~![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))) | ((~occurrence_of(X159!20, X157!22)) | (~tptp1(X157!22, tptp0, X158!21)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))))))),
% 6.59/4.48 inference(monotonicity,[status(thm)],[328])).
% 6.59/4.48 tff(330,plain,
% 6.59/4.48 (((~![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))) | ((~tptp1(X157!22, tptp0, X158!21)) | (~occurrence_of(X159!20, X157!22)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))) <=> ((~![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))) | (~occurrence_of(X159!20, X157!22)) | (~tptp1(X157!22, tptp0, X158!21)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))),
% 6.59/4.48 inference(transitivity,[status(thm)],[329, 324])).
% 6.59/4.48 tff(331,plain,
% 6.59/4.48 ((~![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))) | ((~tptp1(X157!22, tptp0, X158!21)) | (~occurrence_of(X159!20, X157!22)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))))),
% 6.59/4.48 inference(quant_inst,[status(thm)],[])).
% 6.59/4.48 tff(332,plain,
% 6.59/4.48 ((~![X147: $i, X148: $i, X149: $i, X150: $i] : ((~tptp1(X147, X148, X149)) | (~occurrence_of(X150, X147)) | (~((~transmit_message(tptp_fun_X151_19(X150, X149, X148), tptp_fun_X152_18(X150, X149, X148), tptp_fun_X153_17(X150, X149, X148), X149, X148)) | (~occurrence_of(tptp_fun_X154_16(X150, X149, X148), tptp_fun_X151_19(X150, X149, X148))) | (~subactivity_occurrence(tptp_fun_X154_16(X150, X149, X148), X150)))))) | (~occurrence_of(X159!20, X157!22)) | (~tptp1(X157!22, tptp0, X158!21)) | (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[331, 330])).
% 6.59/4.48 tff(333,plain,
% 6.59/4.48 (~((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)))),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[332, 323, 153, 310])).
% 6.59/4.48 tff(334,plain,
% 6.59/4.48 (((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))) | subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)),
% 6.59/4.48 inference(tautology,[status(thm)],[])).
% 6.59/4.48 tff(335,plain,
% 6.59/4.48 (subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[334, 333])).
% 6.59/4.48 tff(336,plain,
% 6.59/4.48 (((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)) | (~((~activity_occurrence(X159!20)) | (~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))) <=> ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)) | (~((~activity_occurrence(X159!20)) | (~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(337,plain,
% 6.59/4.48 ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | ((~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)) | (~((~activity_occurrence(X159!20)) | (~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.48 inference(quant_inst,[status(thm)],[])).
% 6.59/4.48 tff(338,plain,
% 6.59/4.48 ((~![X39: $i, X40: $i] : ((~subactivity_occurrence(X39, X40)) | (~((~activity_occurrence(X40)) | (~activity_occurrence(X39)))))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20)) | (~((~activity_occurrence(X159!20)) | (~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[337, 336])).
% 6.59/4.48 tff(339,plain,
% 6.59/4.48 (~((~activity_occurrence(X159!20)) | (~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[338, 270, 335])).
% 6.59/4.48 tff(340,plain,
% 6.59/4.48 (((~activity_occurrence(X159!20)) | (~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.48 inference(tautology,[status(thm)],[])).
% 6.59/4.48 tff(341,plain,
% 6.59/4.48 (activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[340, 339])).
% 6.59/4.48 tff(342,plain,
% 6.59/4.48 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(343,plain,
% 6.59/4.48 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))))),
% 6.59/4.48 inference(quant_inst,[status(thm)],[])).
% 6.59/4.48 tff(344,plain,
% 6.59/4.48 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[343, 342])).
% 6.59/4.48 tff(345,plain,
% 6.59/4.48 (~((~activity(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[344, 292, 341])).
% 6.59/4.48 tff(346,plain,
% 6.59/4.48 (((~activity(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.48 inference(tautology,[status(thm)],[])).
% 6.59/4.48 tff(347,plain,
% 6.59/4.48 (occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[346, 345])).
% 6.59/4.48 tff(348,plain,
% 6.59/4.48 (((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))) | occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))),
% 6.59/4.48 inference(tautology,[status(thm)],[])).
% 6.59/4.48 tff(349,plain,
% 6.59/4.48 (occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[348, 333])).
% 6.59/4.48 tff(350,plain,
% 6.59/4.48 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(351,plain,
% 6.59/4.48 (((tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) <=> ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(352,plain,
% 6.59/4.48 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.48 inference(monotonicity,[status(thm)],[351])).
% 6.59/4.48 tff(353,plain,
% 6.59/4.48 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.48 inference(transitivity,[status(thm)],[352, 350])).
% 6.59/4.48 tff(354,plain,
% 6.59/4.48 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.48 inference(quant_inst,[status(thm)],[])).
% 6.59/4.48 tff(355,plain,
% 6.59/4.48 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[354, 353])).
% 6.59/4.48 tff(356,plain,
% 6.59/4.48 (tptp_fun_X151_19(X159!20, X158!21, tptp0) = tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[355, 48, 349, 347])).
% 6.59/4.48 tff(357,plain,
% 6.59/4.48 (tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.48 inference(monotonicity,[status(thm)],[356])).
% 6.59/4.48 tff(358,plain,
% 6.59/4.48 (tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))),
% 6.59/4.48 inference(symmetry,[status(thm)],[357])).
% 6.59/4.48 tff(359,plain,
% 6.59/4.48 (root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.48 inference(monotonicity,[status(thm)],[358])).
% 6.59/4.48 tff(360,plain,
% 6.59/4.48 (root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.48 inference(symmetry,[status(thm)],[359])).
% 6.59/4.48 tff(361,plain,
% 6.59/4.48 (root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) <=> root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.48 inference(monotonicity,[status(thm)],[357])).
% 6.59/4.48 tff(362,plain,
% 6.59/4.48 (root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) <=> root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.48 inference(symmetry,[status(thm)],[361])).
% 6.59/4.48 tff(363,plain,
% 6.59/4.48 (^[X51: $i, X52: $i] : refl(((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 6.59/4.48 inference(bind,[status(th)],[])).
% 6.59/4.48 tff(364,plain,
% 6.59/4.48 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 6.59/4.48 inference(quant_intro,[status(thm)],[363])).
% 6.59/4.48 tff(365,plain,
% 6.59/4.48 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(366,plain,
% 6.59/4.48 (^[X51: $i, X52: $i] : rewrite((occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52))))),
% 6.59/4.48 inference(bind,[status(th)],[])).
% 6.59/4.48 tff(367,plain,
% 6.59/4.48 (![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52))) <=> ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 6.59/4.48 inference(quant_intro,[status(thm)],[366])).
% 6.59/4.48 tff(368,axiom,(![X51: $i, X52: $i] : (occurrence_of(X51, X52) => (arboreal(X51) <=> atomic(X52)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_16')).
% 6.59/4.48 tff(369,plain,
% 6.59/4.48 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[368, 367])).
% 6.59/4.48 tff(370,plain,
% 6.59/4.48 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[369, 365])).
% 6.59/4.48 tff(371,plain,(
% 6.59/4.48 ![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 6.59/4.48 inference(skolemize,[status(sab)],[370])).
% 6.59/4.48 tff(372,plain,
% 6.59/4.48 (![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[371, 364])).
% 6.59/4.48 tff(373,plain,
% 6.59/4.48 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.48 inference(rewrite,[status(thm)],[])).
% 6.59/4.48 tff(374,plain,
% 6.59/4.48 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.48 inference(quant_inst,[status(thm)],[])).
% 6.59/4.48 tff(375,plain,
% 6.59/4.48 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.48 inference(modus_ponens,[status(thm)],[374, 373])).
% 6.59/4.48 tff(376,plain,
% 6.59/4.48 (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.48 inference(unit_resolution,[status(thm)],[375, 372, 347])).
% 6.59/4.48 tff(377,plain,
% 6.59/4.48 (((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0))))) <=> ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0))))),
% 6.59/4.49 inference(rewrite,[status(thm)],[])).
% 6.59/4.49 tff(378,plain,
% 6.59/4.49 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0))))),
% 6.59/4.49 inference(quant_inst,[status(thm)],[])).
% 6.59/4.49 tff(379,plain,
% 6.59/4.49 ((~![X51: $i, X52: $i] : ((~occurrence_of(X51, X52)) | (arboreal(X51) <=> atomic(X52)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[378, 377])).
% 6.59/4.49 tff(380,plain,
% 6.59/4.49 (arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[379, 372, 349])).
% 6.59/4.49 tff(381,plain,
% 6.59/4.49 (((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X154_16(X159!20, X158!21, tptp0), X159!20))) | transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)),
% 6.59/4.49 inference(tautology,[status(thm)],[])).
% 6.59/4.49 tff(382,plain,
% 6.59/4.49 (transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[381, 333])).
% 6.59/4.49 tff(383,plain,
% 6.59/4.49 (^[X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : refl(((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122))))) <=> ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122))))))),
% 6.59/4.49 inference(bind,[status(th)],[])).
% 6.59/4.49 tff(384,plain,
% 6.59/4.49 (![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122))))) <=> ![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122)))))),
% 6.59/4.49 inference(quant_intro,[status(thm)],[383])).
% 6.59/4.49 tff(385,plain,
% 6.59/4.49 (^[X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : rewrite(((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124))) <=> ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122))))))),
% 6.59/4.49 inference(bind,[status(th)],[])).
% 6.59/4.49 tff(386,plain,
% 6.59/4.49 (![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124))) <=> ![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122)))))),
% 6.59/4.49 inference(quant_intro,[status(thm)],[385])).
% 6.59/4.49 tff(387,plain,
% 6.59/4.49 (![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124))) <=> ![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124)))),
% 6.59/4.49 inference(rewrite,[status(thm)],[])).
% 6.59/4.49 tff(388,plain,
% 6.59/4.49 (^[X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : trans(monotonicity(trans(monotonicity(rewrite(((activity(X120) & (~atomic(X120))) & root(X121, X122)) <=> (activity(X120) & (~atomic(X120)) & root(X121, X122))), ((((activity(X120) & (~atomic(X120))) & root(X121, X122)) & root(X123, X124)) <=> ((activity(X120) & (~atomic(X120)) & root(X121, X122)) & root(X123, X124)))), rewrite(((activity(X120) & (~atomic(X120)) & root(X121, X122)) & root(X123, X124)) <=> (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124))), ((((activity(X120) & (~atomic(X120))) & root(X121, X122)) & root(X123, X124)) <=> (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124)))), ((transmit_message(X120, X121, X122, X123, X124) => (((activity(X120) & (~atomic(X120))) & root(X121, X122)) & root(X123, X124))) <=> (transmit_message(X120, X121, X122, X123, X124) => (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124))))), rewrite((transmit_message(X120, X121, X122, X123, X124) => (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124))) <=> ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124)))), ((transmit_message(X120, X121, X122, X123, X124) => (((activity(X120) & (~atomic(X120))) & root(X121, X122)) & root(X123, X124))) <=> ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124)))))),
% 6.59/4.49 inference(bind,[status(th)],[])).
% 6.59/4.49 tff(389,plain,
% 6.59/4.49 (![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : (transmit_message(X120, X121, X122, X123, X124) => (((activity(X120) & (~atomic(X120))) & root(X121, X122)) & root(X123, X124))) <=> ![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124)))),
% 6.59/4.49 inference(quant_intro,[status(thm)],[388])).
% 6.59/4.49 tff(390,axiom,(![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : (transmit_message(X120, X121, X122, X123, X124) => (((activity(X120) & (~atomic(X120))) & root(X121, X122)) & root(X123, X124)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_48')).
% 6.59/4.49 tff(391,plain,
% 6.59/4.49 (![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124)))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[390, 389])).
% 6.59/4.49 tff(392,plain,
% 6.59/4.49 (![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124)))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[391, 387])).
% 6.59/4.49 tff(393,plain,(
% 6.59/4.49 ![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (activity(X120) & (~atomic(X120)) & root(X121, X122) & root(X123, X124)))),
% 6.59/4.49 inference(skolemize,[status(sab)],[392])).
% 6.59/4.49 tff(394,plain,
% 6.59/4.49 (![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122)))))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[393, 386])).
% 6.59/4.49 tff(395,plain,
% 6.59/4.49 (![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122)))))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[394, 384])).
% 6.59/4.49 tff(396,plain,
% 6.59/4.49 (((~![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122)))))) | ((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((~root(X158!21, tptp0)) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~activity(tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0))))))) <=> ((~![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122)))))) | (~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((~root(X158!21, tptp0)) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~activity(tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0))))))),
% 6.59/4.49 inference(rewrite,[status(thm)],[])).
% 6.59/4.49 tff(397,plain,
% 6.59/4.49 ((~![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122)))))) | ((~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((~root(X158!21, tptp0)) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~activity(tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0))))))),
% 6.59/4.49 inference(quant_inst,[status(thm)],[])).
% 6.59/4.49 tff(398,plain,
% 6.59/4.49 ((~![X120: $i, X121: $i, X122: $i, X123: $i, X124: $i] : ((~transmit_message(X120, X121, X122, X123, X124)) | (~((~root(X123, X124)) | atomic(X120) | (~activity(X120)) | (~root(X121, X122)))))) | (~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((~root(X158!21, tptp0)) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~activity(tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0)))))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[397, 396])).
% 6.59/4.49 tff(399,plain,
% 6.59/4.49 (~((~root(X158!21, tptp0)) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~activity(tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0))))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[398, 395, 382])).
% 6.59/4.49 tff(400,plain,
% 6.59/4.49 (((~root(X158!21, tptp0)) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~activity(tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0)))) | (~atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)))),
% 6.59/4.49 inference(tautology,[status(thm)],[])).
% 6.59/4.49 tff(401,plain,
% 6.59/4.49 (~atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[400, 399])).
% 6.59/4.49 tff(402,plain,
% 6.59/4.49 ((~(arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)))) | (~arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0))),
% 6.59/4.49 inference(tautology,[status(thm)],[])).
% 6.59/4.49 tff(403,plain,
% 6.59/4.49 (~arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[402, 401, 380])).
% 6.59/4.49 tff(404,plain,
% 6.59/4.49 ((~(arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) | (~atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.49 inference(tautology,[status(thm)],[])).
% 6.59/4.49 tff(405,plain,
% 6.59/4.49 ((~(arboreal(tptp_fun_X154_16(X159!20, X158!21, tptp0)) <=> atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | (~atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[404, 403])).
% 6.59/4.49 tff(406,plain,
% 6.59/4.49 (~atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[405, 376])).
% 6.59/4.49 tff(407,plain,
% 6.59/4.49 (^[X0: $i, X1: $i] : refl((atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))))),
% 6.59/4.49 inference(bind,[status(th)],[])).
% 6.59/4.49 tff(408,plain,
% 6.59/4.49 (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> ![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 6.59/4.49 inference(quant_intro,[status(thm)],[407])).
% 6.59/4.49 tff(409,plain,
% 6.59/4.49 (^[X0: $i, X1: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X1, X0) & (~atomic(X0))) <=> (~(atomic(X0) | (~occurrence_of(X1, X0))))), ((~(occurrence_of(X1, X0) & (~atomic(X0)))) <=> (~(~(atomic(X0) | (~occurrence_of(X1, X0))))))), rewrite((~(~(atomic(X0) | (~occurrence_of(X1, X0))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)))), ((~(occurrence_of(X1, X0) & (~atomic(X0)))) <=> (atomic(X0) | (~occurrence_of(X1, X0))))), rewrite((root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)) <=> (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))), (((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> ((atomic(X0) | (~occurrence_of(X1, X0))) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))))), rewrite(((atomic(X0) | (~occurrence_of(X1, X0))) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))), (((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))))),
% 6.59/4.49 inference(bind,[status(th)],[])).
% 6.59/4.49 tff(410,plain,
% 6.59/4.49 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1))) <=> ![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 6.59/4.49 inference(quant_intro,[status(thm)],[409])).
% 6.59/4.49 tff(411,plain,
% 6.59/4.49 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 6.59/4.49 inference(rewrite,[status(thm)],[])).
% 6.59/4.49 tff(412,plain,
% 6.59/4.49 (^[X0: $i, X1: $i] : rewrite(((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))))),
% 6.59/4.49 inference(bind,[status(th)],[])).
% 6.59/4.49 tff(413,plain,
% 6.59/4.49 (![X0: $i, X1: $i] : ((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1))) <=> ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 6.59/4.49 inference(quant_intro,[status(thm)],[412])).
% 6.59/4.49 tff(414,axiom,(![X0: $i, X1: $i] : ((occurrence_of(X1, X0) & (~atomic(X0))) => ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos')).
% 6.59/4.49 tff(415,plain,
% 6.59/4.49 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[414, 413])).
% 6.59/4.49 tff(416,plain,
% 6.59/4.49 (![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | ?[X2: $i] : (root(X2, X0) & subactivity_occurrence(X2, X1)))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[415, 411])).
% 6.59/4.49 tff(417,plain,(
% 6.59/4.49 ![X0: $i, X1: $i] : ((~(occurrence_of(X1, X0) & (~atomic(X0)))) | (root(tptp_fun_X2_0(X1, X0), X0) & subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))),
% 6.59/4.49 inference(skolemize,[status(sab)],[416])).
% 6.59/4.49 tff(418,plain,
% 6.59/4.49 (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[417, 410])).
% 6.59/4.49 tff(419,plain,
% 6.59/4.49 (![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[418, 408])).
% 6.59/4.49 tff(420,plain,
% 6.59/4.49 (((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | (atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))) <=> ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.49 inference(rewrite,[status(thm)],[])).
% 6.59/4.49 tff(421,plain,
% 6.59/4.49 ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | (atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.49 inference(quant_inst,[status(thm)],[])).
% 6.59/4.49 tff(422,plain,
% 6.59/4.49 ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[421, 420])).
% 6.59/4.49 tff(423,plain,
% 6.59/4.49 (atomic(tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[422, 419, 347])).
% 6.59/4.49 tff(424,plain,
% 6.59/4.49 (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[423, 406])).
% 6.59/4.49 tff(425,plain,
% 6.59/4.49 (((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.49 inference(tautology,[status(thm)],[])).
% 6.59/4.49 tff(426,plain,
% 6.59/4.49 (root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[425, 424])).
% 6.59/4.49 tff(427,plain,
% 6.59/4.49 (root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[426, 362])).
% 6.59/4.49 tff(428,assumption,(~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))), introduced(assumption)).
% 6.59/4.49 tff(429,plain,
% 6.59/4.49 ($false),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[428, 427])).
% 6.59/4.49 tff(430,plain,(root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 6.59/4.49 tff(431,assumption,(![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))), introduced(assumption)).
% 6.59/4.49 tff(432,plain,
% 6.59/4.49 (((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | (atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))) <=> ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.49 inference(rewrite,[status(thm)],[])).
% 6.59/4.49 tff(433,plain,
% 6.59/4.49 ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | (atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.49 inference(quant_inst,[status(thm)],[])).
% 6.59/4.49 tff(434,plain,
% 6.59/4.49 ((~![X0: $i, X1: $i] : (atomic(X0) | (~occurrence_of(X1, X0)) | (~((~root(tptp_fun_X2_0(X1, X0), X0)) | (~subactivity_occurrence(tptp_fun_X2_0(X1, X0), X1)))))) | atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[433, 432])).
% 6.59/4.49 tff(435,plain,
% 6.59/4.49 (atomic(tptp_fun_X151_19(X159!20, X158!21, tptp0)) | (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[434, 419, 349])).
% 6.59/4.49 tff(436,plain,
% 6.59/4.49 (~((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[435, 401])).
% 6.59/4.49 tff(437,plain,
% 6.59/4.49 (((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.49 inference(tautology,[status(thm)],[])).
% 6.59/4.49 tff(438,plain,
% 6.59/4.49 (subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[437, 436])).
% 6.59/4.49 tff(439,plain,
% 6.59/4.49 (((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))) | ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))) <=> ((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.49 inference(rewrite,[status(thm)],[])).
% 6.59/4.49 tff(440,plain,
% 6.59/4.49 ((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))) | ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.49 inference(quant_inst,[status(thm)],[])).
% 6.59/4.49 tff(441,plain,
% 6.59/4.49 ((~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.49 inference(modus_ponens,[status(thm)],[440, 439])).
% 6.59/4.49 tff(442,plain,
% 6.59/4.49 ($false),
% 6.59/4.49 inference(unit_resolution,[status(thm)],[441, 438, 347, 431, 430])).
% 6.59/4.49 tff(443,plain,(~![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))), inference(lemma,lemma(discharge,[]))).
% 6.59/4.49 tff(444,plain,
% 6.59/4.49 (^[X58: $i, X59: $i] : refl((~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))))),
% 6.59/4.49 inference(bind,[status(th)],[])).
% 6.59/4.49 tff(445,plain,
% 6.59/4.49 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> ![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 6.59/4.49 inference(quant_intro,[status(thm)],[444])).
% 6.59/4.49 tff(446,plain,
% 6.59/4.49 (^[X58: $i, X59: $i] : rewrite((~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))))),
% 6.59/4.49 inference(bind,[status(th)],[])).
% 6.59/4.49 tff(447,plain,
% 6.59/4.49 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> ![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 6.59/4.49 inference(quant_intro,[status(thm)],[446])).
% 6.59/4.49 tff(448,plain,
% 6.59/4.49 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))) <=> ![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 6.59/4.49 inference(transitivity,[status(thm)],[447, 445])).
% 6.59/4.49 tff(449,plain,
% 6.59/4.49 (^[X58: $i, X59: $i] : trans(monotonicity(rewrite(((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) <=> ((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))), rewrite((root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))) <=> (root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))), ((((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) & (root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))))) <=> (((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58)))))) & (root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))))), rewrite((((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58)))))) & (root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60))))) <=> (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))), ((((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) & (root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))))) <=> (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))))),
% 6.59/4.50 inference(bind,[status(th)],[])).
% 6.59/4.50 tff(450,plain,
% 6.59/4.50 (![X58: $i, X59: $i] : (((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) & (root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))))) <=> ![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 6.59/4.50 inference(quant_intro,[status(thm)],[449])).
% 6.59/4.50 tff(451,plain,
% 6.59/4.50 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))) <=> ![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 6.59/4.50 inference(rewrite,[status(thm)],[])).
% 6.59/4.50 tff(452,plain,
% 6.59/4.50 (^[X58: $i, X59: $i] : rewrite((root_occ(X58, X59) <=> ?[X60: $i] : ((occurrence_of(X59, X60) & subactivity_occurrence(X58, X59)) & root(X58, X60))) <=> (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60))))),
% 6.59/4.50 inference(bind,[status(th)],[])).
% 6.59/4.50 tff(453,plain,
% 6.59/4.50 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : ((occurrence_of(X59, X60) & subactivity_occurrence(X58, X59)) & root(X58, X60))) <=> ![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 6.59/4.50 inference(quant_intro,[status(thm)],[452])).
% 6.59/4.50 tff(454,axiom,(![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : ((occurrence_of(X59, X60) & subactivity_occurrence(X58, X59)) & root(X58, X60)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_19')).
% 6.59/4.50 tff(455,plain,
% 6.59/4.50 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 6.59/4.50 inference(modus_ponens,[status(thm)],[454, 453])).
% 6.59/4.50 tff(456,plain,
% 6.59/4.50 (![X58: $i, X59: $i] : (root_occ(X58, X59) <=> ?[X60: $i] : (occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))),
% 6.59/4.50 inference(modus_ponens,[status(thm)],[455, 451])).
% 6.59/4.50 tff(457,plain,(
% 6.59/4.50 ![X58: $i, X59: $i] : (((~root_occ(X58, X59)) | (occurrence_of(X59, tptp_fun_X60_9(X59, X58)) & subactivity_occurrence(X58, X59) & root(X58, tptp_fun_X60_9(X59, X58)))) & (root_occ(X58, X59) | ![X60: $i] : (~(occurrence_of(X59, X60) & subactivity_occurrence(X58, X59) & root(X58, X60)))))),
% 6.59/4.50 inference(skolemize,[status(sab)],[456])).
% 6.59/4.50 tff(458,plain,
% 6.59/4.50 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 6.59/4.50 inference(modus_ponens,[status(thm)],[457, 450])).
% 6.59/4.50 tff(459,plain,
% 6.59/4.50 (![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))),
% 6.59/4.50 inference(modus_ponens,[status(thm)],[458, 448])).
% 6.59/4.50 tff(460,plain,
% 6.59/4.50 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60))))))))),
% 6.59/4.50 inference(rewrite,[status(thm)],[])).
% 6.59/4.50 tff(461,plain,
% 6.59/4.50 ((~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60))))))) <=> (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))))))),
% 6.59/4.50 inference(rewrite,[status(thm)],[])).
% 6.59/4.50 tff(462,plain,
% 6.59/4.50 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60))))))))),
% 6.59/4.50 inference(monotonicity,[status(thm)],[461])).
% 6.59/4.50 tff(463,plain,
% 6.59/4.50 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60))))))))),
% 6.59/4.50 inference(transitivity,[status(thm)],[462, 460])).
% 6.59/4.50 tff(464,plain,
% 6.59/4.50 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))))))),
% 6.59/4.50 inference(quant_inst,[status(thm)],[])).
% 6.59/4.50 tff(465,plain,
% 6.59/4.50 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))))))),
% 6.59/4.50 inference(modus_ponens,[status(thm)],[464, 463])).
% 6.59/4.50 tff(466,plain,
% 6.59/4.50 (~((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60))))))),
% 6.59/4.50 inference(unit_resolution,[status(thm)],[465, 459])).
% 6.59/4.50 tff(467,plain,
% 6.59/4.50 (((~((~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))))) | (root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60))))),
% 6.59/4.50 inference(tautology,[status(thm)],[])).
% 6.59/4.50 tff(468,plain,
% 6.59/4.50 (root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))),
% 6.59/4.50 inference(unit_resolution,[status(thm)],[467, 466])).
% 6.59/4.50 tff(469,plain,
% 6.59/4.50 ((~(root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60))))) | root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))),
% 6.59/4.50 inference(tautology,[status(thm)],[])).
% 6.59/4.50 tff(470,plain,
% 6.59/4.50 (root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)) | ![X60: $i] : ((~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), X60)) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), X60)))),
% 6.59/4.50 inference(unit_resolution,[status(thm)],[469, 468])).
% 6.59/4.50 tff(471,plain,
% 6.59/4.50 (root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.50 inference(unit_resolution,[status(thm)],[470, 443])).
% 6.59/4.50 tff(472,plain,
% 6.59/4.50 (root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.50 inference(modus_ponens,[status(thm)],[471, 360])).
% 6.59/4.50 tff(473,plain,
% 6.59/4.50 (^[X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : refl(((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))))) <=> ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))))))),
% 6.59/4.50 inference(bind,[status(th)],[])).
% 6.59/4.50 tff(474,plain,
% 6.59/4.50 (![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))))) <=> ![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))),
% 6.59/4.50 inference(quant_intro,[status(thm)],[473])).
% 6.59/4.50 tff(475,plain,
% 6.59/4.50 (^[X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : trans(monotonicity(trans(monotonicity(rewrite((transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136)) <=> (~((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140))))), ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) <=> (~(~((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140))))))), rewrite((~(~((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140))))) <=> ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)))), ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) <=> ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140))))), rewrite((send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140) & occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137)) & root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)) <=> (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))))), (((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | (send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140) & occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137)) & root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))) <=> (((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140))) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))))))), rewrite((((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140))) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))))) <=> ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))), (((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | (send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140) & occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137)) & root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))) <=> ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))))),
% 6.59/4.51 inference(bind,[status(th)],[])).
% 6.59/4.51 tff(476,plain,
% 6.59/4.51 (![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | (send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140) & occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137)) & root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141))) <=> ![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))),
% 6.59/4.51 inference(quant_intro,[status(thm)],[475])).
% 6.59/4.51 tff(477,plain,
% 6.59/4.51 (![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141))) <=> ![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141)))),
% 6.59/4.51 inference(rewrite,[status(thm)],[])).
% 6.59/4.51 tff(478,plain,
% 6.59/4.51 (^[X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : trans(monotonicity(quant_intro(proof_bind(^[X142: $i, X143: $i] : rewrite(((send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142)) & root_occ(X143, X141)) <=> (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141)))), (?[X142: $i, X143: $i] : ((send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142)) & root_occ(X143, X141)) <=> ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141)))), (((transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136)) => ?[X142: $i, X143: $i] : ((send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142)) & root_occ(X143, X141))) <=> ((transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136)) => ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141))))), rewrite(((transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136)) => ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141))) <=> ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141)))), (((transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136)) => ?[X142: $i, X143: $i] : ((send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142)) & root_occ(X143, X141))) <=> ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141)))))),
% 6.59/4.51 inference(bind,[status(th)],[])).
% 6.59/4.51 tff(479,plain,
% 6.59/4.51 (![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136)) => ?[X142: $i, X143: $i] : ((send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142)) & root_occ(X143, X141))) <=> ![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141)))),
% 6.59/4.51 inference(quant_intro,[status(thm)],[478])).
% 6.59/4.51 tff(480,axiom,(![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136)) => ?[X142: $i, X143: $i] : ((send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142)) & root_occ(X143, X141)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_51')).
% 6.59/4.51 tff(481,plain,
% 6.59/4.51 (![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141)))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[480, 479])).
% 6.59/4.51 tff(482,plain,
% 6.59/4.51 (![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | ?[X142: $i, X143: $i] : (send_message(X142, X137, X138, X139, X140) & occurrence_of(X143, X142) & root_occ(X143, X141)))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[481, 477])).
% 6.59/4.51 tff(483,plain,(
% 6.59/4.51 ![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~(transmit_message(X136, X137, X138, X139, X140) & occurrence_of(X141, X136))) | (send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140) & occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137)) & root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))),
% 6.59/4.51 inference(skolemize,[status(sab)],[482])).
% 6.59/4.51 tff(484,plain,
% 6.59/4.51 (![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[483, 476])).
% 6.59/4.51 tff(485,plain,
% 6.59/4.51 (![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[484, 474])).
% 6.59/4.51 tff(486,plain,
% 6.59/4.51 (((~![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))) | ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))) <=> ((~![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.51 inference(rewrite,[status(thm)],[])).
% 6.59/4.51 tff(487,plain,
% 6.59/4.51 ((~![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))) | ((~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.51 inference(quant_inst,[status(thm)],[])).
% 6.59/4.51 tff(488,plain,
% 6.59/4.51 ((~![X136: $i, X137: $i, X138: $i, X139: $i, X140: $i, X141: $i] : ((~occurrence_of(X141, X136)) | (~transmit_message(X136, X137, X138, X139, X140)) | (~((~send_message(tptp_fun_X142_15(X141, X140, X139, X138, X137), X137, X138, X139, X140)) | (~occurrence_of(tptp_fun_X143_14(X141, X140, X139, X138, X137), tptp_fun_X142_15(X141, X140, X139, X138, X137))) | (~root_occ(tptp_fun_X143_14(X141, X140, X139, X138, X137), X141)))))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~transmit_message(tptp_fun_X151_19(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[487, 486])).
% 6.59/4.51 tff(489,plain,
% 6.59/4.51 (~((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.51 inference(unit_resolution,[status(thm)],[488, 485, 382, 349])).
% 6.59/4.51 tff(490,plain,
% 6.59/4.51 (((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.51 inference(tautology,[status(thm)],[])).
% 6.59/4.51 tff(491,plain,
% 6.59/4.51 (root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))),
% 6.59/4.51 inference(unit_resolution,[status(thm)],[490, 489])).
% 6.59/4.51 tff(492,plain,
% 6.59/4.51 (^[X90: $i, X91: $i, X92: $i, X93: $i] : refl(((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))) <=> ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))),
% 6.59/4.51 inference(bind,[status(th)],[])).
% 6.59/4.51 tff(493,plain,
% 6.59/4.51 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))) <=> ![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 6.59/4.51 inference(quant_intro,[status(thm)],[492])).
% 6.59/4.51 tff(494,plain,
% 6.59/4.51 (^[X90: $i, X91: $i, X92: $i, X93: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92)) <=> (~((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))), ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) <=> (~(~((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))))), rewrite((~(~((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))) <=> ((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))), ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) <=> ((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))))), (((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91)) <=> (((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))) | (X90 = X91)))), rewrite((((~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92))) | (X90 = X91)) <=> ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))), (((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91)) <=> ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))))),
% 6.59/4.51 inference(bind,[status(th)],[])).
% 6.59/4.51 tff(495,plain,
% 6.59/4.51 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91)) <=> ![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 6.59/4.51 inference(quant_intro,[status(thm)],[494])).
% 6.59/4.51 tff(496,plain,
% 6.59/4.51 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91)) <=> ![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 6.59/4.51 inference(rewrite,[status(thm)],[])).
% 6.59/4.51 tff(497,plain,
% 6.59/4.51 (^[X90: $i, X91: $i, X92: $i, X93: $i] : trans(monotonicity(rewrite(((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) <=> (occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))), ((((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) => (X90 = X91)) <=> ((occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92)) => (X90 = X91)))), rewrite(((occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92)) => (X90 = X91)) <=> ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))), ((((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) => (X90 = X91)) <=> ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))))),
% 6.59/4.51 inference(bind,[status(th)],[])).
% 6.59/4.51 tff(498,plain,
% 6.59/4.51 (![X90: $i, X91: $i, X92: $i, X93: $i] : (((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) => (X90 = X91)) <=> ![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 6.59/4.51 inference(quant_intro,[status(thm)],[497])).
% 6.59/4.51 tff(499,axiom,(![X90: $i, X91: $i, X92: $i, X93: $i] : (((occurrence_of(X92, X93) & root_occ(X90, X92)) & root_occ(X91, X92)) => (X90 = X91))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_29')).
% 6.59/4.51 tff(500,plain,
% 6.59/4.51 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[499, 498])).
% 6.59/4.51 tff(501,plain,
% 6.59/4.51 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[500, 496])).
% 6.59/4.51 tff(502,plain,(
% 6.59/4.51 ![X90: $i, X91: $i, X92: $i, X93: $i] : ((~(occurrence_of(X92, X93) & root_occ(X90, X92) & root_occ(X91, X92))) | (X90 = X91))),
% 6.59/4.51 inference(skolemize,[status(sab)],[501])).
% 6.59/4.51 tff(503,plain,
% 6.59/4.51 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[502, 495])).
% 6.59/4.51 tff(504,plain,
% 6.59/4.51 (![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))),
% 6.59/4.51 inference(modus_ponens,[status(thm)],[503, 493])).
% 6.59/4.51 tff(505,plain,
% 6.59/4.51 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.51 inference(rewrite,[status(thm)],[])).
% 6.59/4.51 tff(506,plain,
% 6.59/4.51 (((tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0)))) <=> ((~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.51 inference(rewrite,[status(thm)],[])).
% 6.59/4.51 tff(507,plain,
% 6.59/4.51 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.59/4.51 inference(monotonicity,[status(thm)],[506])).
% 6.59/4.51 tff(508,plain,
% 6.59/4.51 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.59/4.51 inference(transitivity,[status(thm)],[507, 505])).
% 6.59/4.51 tff(509,plain,
% 6.59/4.51 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.52 inference(quant_inst,[status(thm)],[])).
% 6.59/4.52 tff(510,plain,
% 6.59/4.52 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (~occurrence_of(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X154_16(X159!20, X158!21, tptp0))) | (tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[509, 508])).
% 6.59/4.52 tff(511,plain,
% 6.59/4.52 (tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[510, 504, 491, 347, 472])).
% 6.59/4.52 tff(512,plain,
% 6.59/4.52 (tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) = tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))),
% 6.59/4.52 inference(symmetry,[status(thm)],[511])).
% 6.59/4.52 tff(513,plain,
% 6.59/4.52 (occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) <=> occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))),
% 6.59/4.52 inference(monotonicity,[status(thm)],[512])).
% 6.59/4.52 tff(514,plain,
% 6.59/4.52 (occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) <=> occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))),
% 6.59/4.52 inference(symmetry,[status(thm)],[513])).
% 6.59/4.52 tff(515,plain,
% 6.59/4.52 (((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))),
% 6.59/4.52 inference(tautology,[status(thm)],[])).
% 6.59/4.52 tff(516,plain,
% 6.59/4.52 (occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[515, 489])).
% 6.59/4.52 tff(517,plain,
% 6.59/4.52 (^[X12: $i, X13: $i] : refl(((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 6.59/4.52 inference(bind,[status(th)],[])).
% 6.59/4.52 tff(518,plain,
% 6.59/4.52 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 6.59/4.52 inference(quant_intro,[status(thm)],[517])).
% 6.59/4.52 tff(519,plain,
% 6.59/4.52 (^[X12: $i, X13: $i] : rewrite(((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13))))))),
% 6.59/4.52 inference(bind,[status(th)],[])).
% 6.59/4.52 tff(520,plain,
% 6.59/4.52 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 6.59/4.52 inference(quant_intro,[status(thm)],[519])).
% 6.59/4.52 tff(521,plain,
% 6.59/4.52 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 6.59/4.52 inference(rewrite,[status(thm)],[])).
% 6.59/4.52 tff(522,plain,
% 6.59/4.52 (^[X12: $i, X13: $i] : rewrite((occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13))) <=> ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13))))),
% 6.59/4.52 inference(bind,[status(th)],[])).
% 6.59/4.52 tff(523,plain,
% 6.59/4.52 (![X12: $i, X13: $i] : (occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13))) <=> ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 6.59/4.52 inference(quant_intro,[status(thm)],[522])).
% 6.59/4.52 tff(524,axiom,(![X12: $i, X13: $i] : (occurrence_of(X13, X12) => (activity(X12) & activity_occurrence(X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_03')).
% 6.59/4.52 tff(525,plain,
% 6.59/4.52 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[524, 523])).
% 6.59/4.52 tff(526,plain,
% 6.59/4.52 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[525, 521])).
% 6.59/4.52 tff(527,plain,(
% 6.59/4.52 ![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (activity(X12) & activity_occurrence(X13)))),
% 6.59/4.52 inference(skolemize,[status(sab)],[526])).
% 6.59/4.52 tff(528,plain,
% 6.59/4.52 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[527, 520])).
% 6.59/4.52 tff(529,plain,
% 6.59/4.52 (![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[528, 518])).
% 6.59/4.52 tff(530,plain,
% 6.59/4.52 (((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~((~activity(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))))) <=> ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~((~activity(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))))),
% 6.59/4.52 inference(rewrite,[status(thm)],[])).
% 6.59/4.52 tff(531,plain,
% 6.59/4.52 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | ((~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~((~activity(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))))),
% 6.59/4.52 inference(quant_inst,[status(thm)],[])).
% 6.59/4.52 tff(532,plain,
% 6.59/4.52 ((~![X12: $i, X13: $i] : ((~occurrence_of(X13, X12)) | (~((~activity(X12)) | (~activity_occurrence(X13)))))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~((~activity(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[531, 530])).
% 6.59/4.52 tff(533,plain,
% 6.59/4.52 (~((~activity(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[532, 529, 516])).
% 6.59/4.52 tff(534,plain,
% 6.59/4.52 (((~activity(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))),
% 6.59/4.52 inference(tautology,[status(thm)],[])).
% 6.59/4.52 tff(535,plain,
% 6.59/4.52 (activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[534, 533])).
% 6.59/4.52 tff(536,plain,
% 6.59/4.52 (((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))))) <=> ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))))),
% 6.59/4.52 inference(rewrite,[status(thm)],[])).
% 6.59/4.52 tff(537,plain,
% 6.59/4.52 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | ((~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))))),
% 6.59/4.52 inference(quant_inst,[status(thm)],[])).
% 6.59/4.52 tff(538,plain,
% 6.59/4.52 ((~![X41: $i] : ((~activity_occurrence(X41)) | (~((~activity(tptp_fun_X42_4(X41))) | (~occurrence_of(X41, tptp_fun_X42_4(X41))))))) | (~activity_occurrence(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~((~activity(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[537, 536])).
% 6.59/4.52 tff(539,plain,
% 6.59/4.52 (~((~activity(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[538, 292, 535])).
% 6.59/4.52 tff(540,plain,
% 6.59/4.52 (((~activity(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))) | occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))),
% 6.59/4.52 inference(tautology,[status(thm)],[])).
% 6.59/4.52 tff(541,plain,
% 6.59/4.52 (occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[540, 539])).
% 6.59/4.52 tff(542,plain,
% 6.59/4.52 (occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[541, 514])).
% 6.59/4.52 tff(543,plain,
% 6.59/4.52 (tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp0),
% 6.59/4.52 inference(symmetry,[status(thm)],[307])).
% 6.59/4.52 tff(544,plain,
% 6.59/4.52 (root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> root(X158!21, tptp0)),
% 6.59/4.52 inference(monotonicity,[status(thm)],[543])).
% 6.59/4.52 tff(545,plain,
% 6.59/4.52 (root(X158!21, tptp0) <=> root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.52 inference(symmetry,[status(thm)],[544])).
% 6.59/4.52 tff(546,plain,
% 6.59/4.52 (root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[175, 545])).
% 6.59/4.52 tff(547,assumption,(~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), introduced(assumption)).
% 6.59/4.52 tff(548,plain,
% 6.59/4.52 ($false),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[547, 546])).
% 6.59/4.52 tff(549,plain,(root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 6.59/4.52 tff(550,assumption,(min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), introduced(assumption)).
% 6.59/4.52 tff(551,plain,
% 6.59/4.52 (((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.52 inference(rewrite,[status(thm)],[])).
% 6.59/4.52 tff(552,plain,
% 6.59/4.52 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.52 inference(quant_inst,[status(thm)],[])).
% 6.59/4.52 tff(553,plain,
% 6.59/4.52 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[552, 551])).
% 6.59/4.52 tff(554,plain,
% 6.59/4.52 ($false),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[553, 187, 550, 549])).
% 6.59/4.52 tff(555,plain,(~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 6.59/4.52 tff(556,assumption,(min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), introduced(assumption)).
% 6.59/4.52 tff(557,plain,
% 6.59/4.52 (root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)),
% 6.59/4.52 inference(monotonicity,[status(thm)],[543])).
% 6.59/4.52 tff(558,plain,
% 6.59/4.52 (root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0) <=> root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.52 inference(symmetry,[status(thm)],[557])).
% 6.59/4.52 tff(559,plain,
% 6.59/4.52 (^[X68: $i, X69: $i, X70: $i] : refl(((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))))) <=> ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))))))),
% 6.59/4.52 inference(bind,[status(th)],[])).
% 6.59/4.52 tff(560,plain,
% 6.59/4.52 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))))) <=> ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))),
% 6.59/4.52 inference(quant_intro,[status(thm)],[559])).
% 6.59/4.52 tff(561,plain,
% 6.59/4.52 (^[X68: $i, X69: $i, X70: $i] : rewrite(((~min_precedes(X68, X69, X70)) | (root(tptp_fun_X71_10(X70, X69), X70) & min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))) <=> ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))))))),
% 6.59/4.52 inference(bind,[status(th)],[])).
% 6.59/4.52 tff(562,plain,
% 6.59/4.52 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (root(tptp_fun_X71_10(X70, X69), X70) & min_precedes(tptp_fun_X71_10(X70, X69), X69, X70))) <=> ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))),
% 6.59/4.52 inference(quant_intro,[status(thm)],[561])).
% 6.59/4.52 tff(563,plain,
% 6.59/4.52 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70))) <=> ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 6.59/4.52 inference(rewrite,[status(thm)],[])).
% 6.59/4.52 tff(564,plain,
% 6.59/4.52 (^[X68: $i, X69: $i, X70: $i] : rewrite((min_precedes(X68, X69, X70) => ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70))) <=> ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70))))),
% 6.59/4.52 inference(bind,[status(th)],[])).
% 6.59/4.52 tff(565,plain,
% 6.59/4.52 (![X68: $i, X69: $i, X70: $i] : (min_precedes(X68, X69, X70) => ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70))) <=> ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 6.59/4.52 inference(quant_intro,[status(thm)],[564])).
% 6.59/4.52 tff(566,axiom,(![X68: $i, X69: $i, X70: $i] : (min_precedes(X68, X69, X70) => ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_23')).
% 6.59/4.52 tff(567,plain,
% 6.59/4.52 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[566, 565])).
% 6.59/4.52 tff(568,plain,
% 6.59/4.52 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | ?[X71: $i] : (root(X71, X70) & min_precedes(X71, X69, X70)))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[567, 563])).
% 6.59/4.52 tff(569,plain,(
% 6.59/4.52 ![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (root(tptp_fun_X71_10(X70, X69), X70) & min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))),
% 6.59/4.52 inference(skolemize,[status(sab)],[568])).
% 6.59/4.52 tff(570,plain,
% 6.59/4.52 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[569, 562])).
% 6.59/4.52 tff(571,plain,
% 6.59/4.52 (![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[570, 560])).
% 6.59/4.52 tff(572,plain,
% 6.59/4.52 (((~![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))) | ((~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)))))) <=> ((~![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)))))),
% 6.59/4.52 inference(rewrite,[status(thm)],[])).
% 6.59/4.52 tff(573,plain,
% 6.59/4.52 ((~![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))) | ((~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)))))),
% 6.59/4.52 inference(quant_inst,[status(thm)],[])).
% 6.59/4.52 tff(574,plain,
% 6.59/4.52 ((~![X68: $i, X69: $i, X70: $i] : ((~min_precedes(X68, X69, X70)) | (~((~root(tptp_fun_X71_10(X70, X69), X70)) | (~min_precedes(tptp_fun_X71_10(X70, X69), X69, X70)))))) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0))))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[573, 572])).
% 6.59/4.52 tff(575,plain,
% 6.59/4.52 (~((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)))),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[574, 571, 238])).
% 6.59/4.52 tff(576,plain,
% 6.59/4.52 (((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0))) | root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)),
% 6.59/4.52 inference(tautology,[status(thm)],[])).
% 6.59/4.52 tff(577,plain,
% 6.59/4.52 (root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[576, 575])).
% 6.59/4.52 tff(578,plain,
% 6.59/4.52 (root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.52 inference(modus_ponens,[status(thm)],[577, 558])).
% 6.59/4.52 tff(579,assumption,(~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), introduced(assumption)).
% 6.59/4.52 tff(580,plain,
% 6.59/4.52 ($false),
% 6.59/4.52 inference(unit_resolution,[status(thm)],[579, 578])).
% 6.59/4.52 tff(581,plain,(root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 6.59/4.52 tff(582,plain,
% 6.59/4.52 (((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.53 inference(rewrite,[status(thm)],[])).
% 6.59/4.53 tff(583,plain,
% 6.59/4.53 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | ((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.53 inference(quant_inst,[status(thm)],[])).
% 6.59/4.53 tff(584,plain,
% 6.59/4.53 ((~![X65: $i, X66: $i, X67: $i] : ((~root(X66, X67)) | (~min_precedes(X65, X66, X67)))) | (~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[583, 582])).
% 6.59/4.53 tff(585,plain,
% 6.59/4.53 ($false),
% 6.59/4.53 inference(unit_resolution,[status(thm)],[584, 187, 581, 556])).
% 6.59/4.53 tff(586,plain,(~min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 6.59/4.53 tff(587,assumption,(~min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), introduced(assumption)).
% 6.59/4.53 tff(588,assumption,(~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), introduced(assumption)).
% 6.59/4.53 tff(589,assumption,(~(X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))), introduced(assumption)).
% 6.59/4.53 tff(590,plain,
% 6.59/4.53 (min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0)),
% 6.59/4.53 inference(monotonicity,[status(thm)],[543])).
% 6.59/4.53 tff(591,plain,
% 6.59/4.53 (min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp0) <=> min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.53 inference(symmetry,[status(thm)],[590])).
% 6.59/4.53 tff(592,plain,
% 6.59/4.53 (min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[238, 591])).
% 6.59/4.53 tff(593,assumption,(~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))), introduced(assumption)).
% 6.59/4.53 tff(594,plain,
% 6.59/4.53 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)),
% 6.59/4.53 inference(monotonicity,[status(thm)],[543])).
% 6.59/4.53 tff(595,plain,
% 6.59/4.53 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0) <=> occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.53 inference(symmetry,[status(thm)],[594])).
% 6.59/4.53 tff(596,plain,
% 6.59/4.53 (((~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)),
% 6.59/4.53 inference(tautology,[status(thm)],[])).
% 6.59/4.53 tff(597,plain,
% 6.59/4.53 (min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)),
% 6.59/4.53 inference(unit_resolution,[status(thm)],[596, 575])).
% 6.59/4.53 tff(598,plain,
% 6.59/4.53 (((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))))) <=> ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))))),
% 6.59/4.53 inference(rewrite,[status(thm)],[])).
% 6.59/4.53 tff(599,plain,
% 6.59/4.53 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))))),
% 6.59/4.53 inference(quant_inst,[status(thm)],[])).
% 6.59/4.53 tff(600,plain,
% 6.59/4.53 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X50_7(tptp0, X158!21), tptp0)) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[599, 598])).
% 6.59/4.53 tff(601,plain,
% 6.59/4.53 (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.59/4.53 inference(unit_resolution,[status(thm)],[600, 251, 597])).
% 6.59/4.53 tff(602,plain,
% 6.59/4.53 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)),
% 6.59/4.53 inference(tautology,[status(thm)],[])).
% 6.59/4.53 tff(603,plain,
% 6.59/4.53 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)),
% 6.59/4.53 inference(unit_resolution,[status(thm)],[602, 601])).
% 6.59/4.53 tff(604,plain,
% 6.59/4.53 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[603, 595])).
% 6.59/4.53 tff(605,plain,
% 6.59/4.53 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))) | subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.59/4.53 inference(tautology,[status(thm)],[])).
% 6.59/4.53 tff(606,plain,
% 6.59/4.53 (subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.59/4.53 inference(unit_resolution,[status(thm)],[605, 601])).
% 6.59/4.53 tff(607,plain,
% 6.59/4.53 (^[X82: $i, X83: $i, X84: $i, X85: $i] : refl((subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))) <=> (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))),
% 6.59/4.53 inference(bind,[status(th)],[])).
% 6.59/4.53 tff(608,plain,
% 6.59/4.53 (![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))) <=> ![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))),
% 6.59/4.53 inference(quant_intro,[status(thm)],[607])).
% 6.59/4.53 tff(609,plain,
% 6.59/4.53 (^[X82: $i, X83: $i, X84: $i, X85: $i] : trans(monotonicity(trans(monotonicity(rewrite((min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85)) <=> (~((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))), ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) <=> (~(~((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))))), rewrite((~(~((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))) <=> ((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))), ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) <=> ((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))))), (((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> (((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)))), rewrite((((~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))), (((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))))),
% 6.59/4.53 inference(bind,[status(th)],[])).
% 6.59/4.53 tff(610,plain,
% 6.59/4.53 (![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> ![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))),
% 6.59/4.53 inference(quant_intro,[status(thm)],[609])).
% 6.59/4.53 tff(611,plain,
% 6.59/4.53 (![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85)) <=> ![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 6.59/4.53 inference(rewrite,[status(thm)],[])).
% 6.59/4.53 tff(612,plain,
% 6.59/4.53 (^[X82: $i, X83: $i, X84: $i, X85: $i] : trans(monotonicity(rewrite(((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) <=> (min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))), ((((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)) <=> ((min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)))), rewrite(((min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)) <=> ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))), ((((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)) <=> ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))))),
% 6.59/4.53 inference(bind,[status(th)],[])).
% 6.59/4.53 tff(613,plain,
% 6.59/4.53 (![X82: $i, X83: $i, X84: $i, X85: $i] : (((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85)) <=> ![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 6.59/4.53 inference(quant_intro,[status(thm)],[612])).
% 6.59/4.53 tff(614,axiom,(![X82: $i, X83: $i, X84: $i, X85: $i] : (((min_precedes(X82, X83, X84) & occurrence_of(X85, X84)) & subactivity_occurrence(X83, X85)) => subactivity_occurrence(X82, X85))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_27')).
% 6.59/4.53 tff(615,plain,
% 6.59/4.53 (![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[614, 613])).
% 6.59/4.53 tff(616,plain,
% 6.59/4.53 (![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[615, 611])).
% 6.59/4.53 tff(617,plain,(
% 6.59/4.53 ![X82: $i, X83: $i, X84: $i, X85: $i] : ((~(min_precedes(X82, X83, X84) & occurrence_of(X85, X84) & subactivity_occurrence(X83, X85))) | subactivity_occurrence(X82, X85))),
% 6.59/4.53 inference(skolemize,[status(sab)],[616])).
% 6.59/4.53 tff(618,plain,
% 6.59/4.53 (![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[617, 610])).
% 6.59/4.53 tff(619,plain,
% 6.59/4.53 (![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[618, 608])).
% 6.59/4.53 tff(620,plain,
% 6.59/4.53 (((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.53 inference(rewrite,[status(thm)],[])).
% 6.59/4.53 tff(621,plain,
% 6.59/4.53 ((subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))) <=> ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.53 inference(rewrite,[status(thm)],[])).
% 6.59/4.53 tff(622,plain,
% 6.59/4.53 (((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) <=> ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | ((~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.59/4.53 inference(monotonicity,[status(thm)],[621])).
% 6.59/4.53 tff(623,plain,
% 6.59/4.53 (((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) <=> ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.59/4.53 inference(transitivity,[status(thm)],[622, 620])).
% 6.59/4.53 tff(624,plain,
% 6.59/4.53 ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.59/4.53 inference(quant_inst,[status(thm)],[])).
% 6.59/4.53 tff(625,plain,
% 6.59/4.53 ((~![X82: $i, X83: $i, X84: $i, X85: $i] : (subactivity_occurrence(X82, X85) | (~occurrence_of(X85, X84)) | (~min_precedes(X82, X83, X84)) | (~subactivity_occurrence(X83, X85)))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | (~min_precedes(X158!21, tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.59/4.53 inference(modus_ponens,[status(thm)],[624, 623])).
% 6.59/4.53 tff(626,plain,
% 6.59/4.53 ($false),
% 6.59/4.53 inference(unit_resolution,[status(thm)],[625, 619, 606, 604, 593, 592])).
% 6.59/4.53 tff(627,plain,(subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))), inference(lemma,lemma(discharge,[]))).
% 6.59/4.53 tff(628,plain,
% 6.59/4.53 (^[X53: $i, X54: $i] : refl((legal(X53) | (~root(X53, X54))) <=> (legal(X53) | (~root(X53, X54))))),
% 6.59/4.53 inference(bind,[status(th)],[])).
% 6.59/4.53 tff(629,plain,
% 6.59/4.53 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 6.67/4.53 inference(quant_intro,[status(thm)],[628])).
% 6.67/4.53 tff(630,plain,
% 6.67/4.53 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54))) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 6.67/4.53 inference(rewrite,[status(thm)],[])).
% 6.67/4.53 tff(631,plain,
% 6.67/4.53 (^[X53: $i, X54: $i] : rewrite((root(X53, X54) => legal(X53)) <=> (legal(X53) | (~root(X53, X54))))),
% 6.67/4.53 inference(bind,[status(th)],[])).
% 6.67/4.53 tff(632,plain,
% 6.67/4.53 (![X53: $i, X54: $i] : (root(X53, X54) => legal(X53)) <=> ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 6.67/4.53 inference(quant_intro,[status(thm)],[631])).
% 6.67/4.53 tff(633,axiom,(![X53: $i, X54: $i] : (root(X53, X54) => legal(X53))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_17')).
% 6.67/4.53 tff(634,plain,
% 6.67/4.53 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[633, 632])).
% 6.67/4.53 tff(635,plain,
% 6.67/4.53 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[634, 630])).
% 6.67/4.53 tff(636,plain,(
% 6.67/4.53 ![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 6.67/4.53 inference(skolemize,[status(sab)],[635])).
% 6.67/4.53 tff(637,plain,
% 6.67/4.53 (![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[636, 629])).
% 6.67/4.53 tff(638,plain,
% 6.67/4.53 (((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))) <=> ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))),
% 6.67/4.53 inference(rewrite,[status(thm)],[])).
% 6.67/4.53 tff(639,plain,
% 6.67/4.53 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))),
% 6.67/4.53 inference(quant_inst,[status(thm)],[])).
% 6.67/4.53 tff(640,plain,
% 6.67/4.53 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~root(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[639, 638])).
% 6.67/4.53 tff(641,plain,
% 6.67/4.53 (legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))),
% 6.67/4.53 inference(unit_resolution,[status(thm)],[640, 637, 577])).
% 6.67/4.53 tff(642,plain,
% 6.67/4.53 (^[X43: $i] : refl((arboreal(X43) | (~legal(X43))) <=> (arboreal(X43) | (~legal(X43))))),
% 6.67/4.53 inference(bind,[status(th)],[])).
% 6.67/4.53 tff(643,plain,
% 6.67/4.53 (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 6.67/4.53 inference(quant_intro,[status(thm)],[642])).
% 6.67/4.53 tff(644,plain,
% 6.67/4.53 (![X43: $i] : (arboreal(X43) | (~legal(X43))) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 6.67/4.53 inference(rewrite,[status(thm)],[])).
% 6.67/4.53 tff(645,plain,
% 6.67/4.53 (^[X43: $i] : rewrite((legal(X43) => arboreal(X43)) <=> (arboreal(X43) | (~legal(X43))))),
% 6.67/4.53 inference(bind,[status(th)],[])).
% 6.67/4.53 tff(646,plain,
% 6.67/4.53 (![X43: $i] : (legal(X43) => arboreal(X43)) <=> ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 6.67/4.53 inference(quant_intro,[status(thm)],[645])).
% 6.67/4.53 tff(647,axiom,(![X43: $i] : (legal(X43) => arboreal(X43))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_13')).
% 6.67/4.53 tff(648,plain,
% 6.67/4.53 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[647, 646])).
% 6.67/4.53 tff(649,plain,
% 6.67/4.53 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[648, 644])).
% 6.67/4.53 tff(650,plain,(
% 6.67/4.53 ![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 6.67/4.53 inference(skolemize,[status(sab)],[649])).
% 6.67/4.53 tff(651,plain,
% 6.67/4.53 (![X43: $i] : (arboreal(X43) | (~legal(X43)))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[650, 643])).
% 6.67/4.53 tff(652,plain,
% 6.67/4.53 (((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))))) <=> ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))))),
% 6.67/4.53 inference(rewrite,[status(thm)],[])).
% 6.67/4.53 tff(653,plain,
% 6.67/4.53 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))))),
% 6.67/4.53 inference(quant_inst,[status(thm)],[])).
% 6.67/4.53 tff(654,plain,
% 6.67/4.53 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~legal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[653, 652])).
% 6.67/4.53 tff(655,plain,
% 6.67/4.53 (arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))),
% 6.67/4.53 inference(unit_resolution,[status(thm)],[654, 651, 641])).
% 6.67/4.53 tff(656,plain,
% 6.67/4.53 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~subactivity_occurrence(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))) | subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.67/4.53 inference(tautology,[status(thm)],[])).
% 6.67/4.53 tff(657,plain,
% 6.67/4.53 (subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.67/4.53 inference(unit_resolution,[status(thm)],[656, 601])).
% 6.67/4.53 tff(658,plain,
% 6.67/4.53 (((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(X158!21) | (~root(X158!21, tptp0)))) <=> ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(X158!21) | (~root(X158!21, tptp0)))),
% 6.67/4.53 inference(rewrite,[status(thm)],[])).
% 6.67/4.53 tff(659,plain,
% 6.67/4.53 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(X158!21) | (~root(X158!21, tptp0)))),
% 6.67/4.53 inference(quant_inst,[status(thm)],[])).
% 6.67/4.53 tff(660,plain,
% 6.67/4.53 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(X158!21) | (~root(X158!21, tptp0))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[659, 658])).
% 6.67/4.53 tff(661,plain,
% 6.67/4.53 (legal(X158!21)),
% 6.67/4.53 inference(unit_resolution,[status(thm)],[660, 637, 175])).
% 6.67/4.53 tff(662,plain,
% 6.67/4.53 (((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(X158!21) | (~legal(X158!21)))) <=> ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(X158!21) | (~legal(X158!21)))),
% 6.67/4.53 inference(rewrite,[status(thm)],[])).
% 6.67/4.53 tff(663,plain,
% 6.67/4.53 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(X158!21) | (~legal(X158!21)))),
% 6.67/4.53 inference(quant_inst,[status(thm)],[])).
% 6.67/4.53 tff(664,plain,
% 6.67/4.53 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(X158!21) | (~legal(X158!21))),
% 6.67/4.53 inference(modus_ponens,[status(thm)],[663, 662])).
% 6.67/4.53 tff(665,plain,
% 6.67/4.53 (arboreal(X158!21)),
% 6.67/4.53 inference(unit_resolution,[status(thm)],[664, 651, 661])).
% 6.67/4.53 tff(666,plain,
% 6.67/4.53 (^[X14: $i, X15: $i, X16: $i, X17: $i] : refl((min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))),
% 6.67/4.53 inference(bind,[status(th)],[])).
% 6.67/4.53 tff(667,plain,
% 6.67/4.53 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))) <=> ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))),
% 6.67/4.53 inference(quant_intro,[status(thm)],[666])).
% 6.67/4.53 tff(668,plain,
% 6.67/4.53 (^[X14: $i, X15: $i, X16: $i, X17: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)) <=> (~((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))), ((~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))) <=> (~(~((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))))), rewrite((~(~((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))) <=> ((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))), ((~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))) <=> ((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15))))), ((min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | ((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))))), rewrite((min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | ((~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))), ((min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))))),
% 6.67/4.53 inference(bind,[status(th)],[])).
% 6.67/4.53 tff(669,plain,
% 6.67/4.53 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))) <=> ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))),
% 6.67/4.53 inference(quant_intro,[status(thm)],[668])).
% 6.67/4.53 tff(670,plain,
% 6.67/4.53 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))) <=> ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 6.67/4.53 inference(rewrite,[status(thm)],[])).
% 6.67/4.53 tff(671,plain,
% 6.67/4.53 (^[X14: $i, X15: $i, X16: $i, X17: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17))), ((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) <=> ((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17)) & subactivity_occurrence(X16, X15)))), rewrite(((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17)) & subactivity_occurrence(X16, X15)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15))), ((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15)))), (((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) <=> ((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)))), rewrite(((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))), (((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) <=> (occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)))), trans(monotonicity(rewrite((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) <=> (min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14))), (((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)) <=> ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)))), rewrite(((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14))), (((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14)))), ((((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) => ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17))) <=> ((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)) => (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14))))), rewrite(((occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15)) => (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))), ((((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) => ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17))) <=> (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))))),
% 6.67/4.54 inference(bind,[status(th)],[])).
% 6.67/4.54 tff(672,plain,
% 6.67/4.54 (![X14: $i, X15: $i, X16: $i, X17: $i] : (((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) => ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17))) <=> ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 6.67/4.54 inference(quant_intro,[status(thm)],[671])).
% 6.67/4.54 tff(673,axiom,(![X14: $i, X15: $i, X16: $i, X17: $i] : (((((occurrence_of(X15, X14) & arboreal(X16)) & arboreal(X17)) & subactivity_occurrence(X16, X15)) & subactivity_occurrence(X17, X15)) => ((min_precedes(X16, X17, X14) | min_precedes(X17, X16, X14)) | (X16 = X17)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_04')).
% 6.67/4.54 tff(674,plain,
% 6.67/4.54 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 6.67/4.54 inference(modus_ponens,[status(thm)],[673, 672])).
% 6.67/4.54 tff(675,plain,
% 6.67/4.54 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 6.67/4.54 inference(modus_ponens,[status(thm)],[674, 670])).
% 6.67/4.54 tff(676,plain,(
% 6.67/4.54 ![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~(occurrence_of(X15, X14) & arboreal(X16) & arboreal(X17) & subactivity_occurrence(X16, X15) & subactivity_occurrence(X17, X15))))),
% 6.67/4.54 inference(skolemize,[status(sab)],[675])).
% 6.67/4.54 tff(677,plain,
% 6.67/4.54 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))),
% 6.67/4.54 inference(modus_ponens,[status(thm)],[676, 669])).
% 6.67/4.54 tff(678,plain,
% 6.67/4.54 (![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))),
% 6.67/4.54 inference(modus_ponens,[status(thm)],[677, 667])).
% 6.67/4.54 tff(679,plain,
% 6.67/4.54 (((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | ((~arboreal(X158!21)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))) <=> ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (~arboreal(X158!21)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))),
% 6.67/4.54 inference(rewrite,[status(thm)],[])).
% 6.67/4.54 tff(680,plain,
% 6.67/4.54 ((min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~arboreal(X158!21)) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))) <=> ((~arboreal(X158!21)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))),
% 6.67/4.54 inference(rewrite,[status(thm)],[])).
% 6.67/4.54 tff(681,plain,
% 6.67/4.54 (((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~arboreal(X158!21)) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) <=> ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | ((~arboreal(X158!21)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))))),
% 6.67/4.54 inference(monotonicity,[status(thm)],[680])).
% 6.67/4.54 tff(682,plain,
% 6.67/4.54 (((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~arboreal(X158!21)) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) <=> ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (~arboreal(X158!21)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))),
% 6.67/4.54 inference(transitivity,[status(thm)],[681, 679])).
% 6.67/4.54 tff(683,plain,
% 6.67/4.54 ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~arboreal(X158!21)) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.67/4.54 inference(quant_inst,[status(thm)],[])).
% 6.67/4.54 tff(684,plain,
% 6.67/4.54 ((~![X14: $i, X15: $i, X16: $i, X17: $i] : (min_precedes(X16, X17, X14) | (X16 = X17) | min_precedes(X17, X16, X14) | (~occurrence_of(X15, X14)) | (~subactivity_occurrence(X16, X15)) | (~arboreal(X16)) | (~arboreal(X17)) | (~subactivity_occurrence(X17, X15)))) | (~arboreal(X158!21)) | (~subactivity_occurrence(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~arboreal(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))) | min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))),
% 6.67/4.54 inference(modus_ponens,[status(thm)],[683, 682])).
% 6.67/4.54 tff(685,plain,
% 6.67/4.54 ($false),
% 6.67/4.54 inference(unit_resolution,[status(thm)],[684, 678, 665, 657, 655, 604, 627, 589, 588, 587])).
% 6.67/4.54 tff(686,plain,(min_precedes(X158!21, tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), inference(lemma,lemma(discharge,[]))).
% 6.67/4.54 tff(687,plain,
% 6.67/4.54 ((X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | min_precedes(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.67/4.54 inference(unit_resolution,[status(thm)],[686, 586])).
% 6.67/4.54 tff(688,plain,
% 6.67/4.54 (X158!21 = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))),
% 6.67/4.54 inference(unit_resolution,[status(thm)],[687, 555])).
% 6.67/4.54 tff(689,plain,
% 6.67/4.54 (tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)) = X158!21),
% 6.67/4.54 inference(symmetry,[status(thm)],[688])).
% 6.67/4.54 tff(690,plain,
% 6.67/4.54 (tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0) = tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)),
% 6.67/4.54 inference(monotonicity,[status(thm)],[688])).
% 6.67/4.54 tff(691,plain,
% 6.67/4.54 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) <=> root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.67/4.54 inference(monotonicity,[status(thm)],[690])).
% 6.67/4.54 tff(692,plain,
% 6.67/4.54 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0)))))),
% 6.67/4.54 inference(rewrite,[status(thm)],[])).
% 6.67/4.54 tff(693,plain,
% 6.67/4.54 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0)))))),
% 6.67/4.54 inference(rewrite,[status(thm)],[])).
% 6.67/4.54 tff(694,plain,
% 6.67/4.54 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0))))))),
% 6.67/4.54 inference(monotonicity,[status(thm)],[693])).
% 6.67/4.54 tff(695,plain,
% 6.67/4.54 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0)))))),
% 6.67/4.55 inference(transitivity,[status(thm)],[694, 692])).
% 6.67/4.55 tff(696,plain,
% 6.67/4.55 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0)))))),
% 6.67/4.55 inference(quant_inst,[status(thm)],[])).
% 6.67/4.55 tff(697,plain,
% 6.67/4.55 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp0)) | (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0))))),
% 6.67/4.55 inference(modus_ponens,[status(thm)],[696, 695])).
% 6.67/4.55 tff(698,plain,
% 6.67/4.55 (~((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0)))),
% 6.67/4.55 inference(unit_resolution,[status(thm)],[697, 99, 300])).
% 6.67/4.55 tff(699,plain,
% 6.67/4.55 (((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp3))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp4)) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp0))) | root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.67/4.55 inference(tautology,[status(thm)],[])).
% 6.67/4.55 tff(700,plain,
% 6.67/4.55 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.67/4.55 inference(unit_resolution,[status(thm)],[699, 698])).
% 6.67/4.55 tff(701,plain,
% 6.67/4.55 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.67/4.55 inference(modus_ponens,[status(thm)],[700, 691])).
% 6.67/4.55 tff(702,plain,
% 6.67/4.55 (root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) <=> root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.67/4.55 inference(monotonicity,[status(thm)],[688])).
% 6.67/4.55 tff(703,assumption,(![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))), introduced(assumption)).
% 6.67/4.55 tff(704,plain,
% 6.67/4.55 (((~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) <=> ((~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.67/4.55 inference(rewrite,[status(thm)],[])).
% 6.67/4.55 tff(705,plain,
% 6.67/4.55 ((~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.67/4.55 inference(quant_inst,[status(thm)],[])).
% 6.67/4.55 tff(706,plain,
% 6.67/4.55 ((~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root(X158!21, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))),
% 6.67/4.55 inference(modus_ponens,[status(thm)],[705, 704])).
% 6.67/4.55 tff(707,plain,
% 6.67/4.55 ($false),
% 6.67/4.55 inference(unit_resolution,[status(thm)],[706, 604, 627, 703, 549])).
% 6.67/4.55 tff(708,plain,(~![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))), inference(lemma,lemma(discharge,[]))).
% 6.67/4.55 tff(709,plain,
% 6.67/4.55 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | (~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21)))))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | (~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))))))))))),
% 6.67/4.55 inference(rewrite,[status(thm)],[])).
% 6.67/4.55 tff(710,plain,
% 6.67/4.55 ((~((~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))))))) | (~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~root(X158!21, X60))))))) <=> (~((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | (~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21)))))))))),
% 6.67/4.55 inference(rewrite,[status(thm)],[])).
% 6.67/4.55 tff(711,plain,
% 6.67/4.55 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))))))) | (~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~root(X158!21, X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | (~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))))))))))),
% 6.67/4.55 inference(monotonicity,[status(thm)],[710])).
% 6.67/4.55 tff(712,plain,
% 6.67/4.55 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))))))) | (~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~root(X158!21, X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | (~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))))))))))),
% 6.67/4.55 inference(transitivity,[status(thm)],[711, 709])).
% 6.67/4.55 tff(713,plain,
% 6.67/4.55 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))))))) | (~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~root(X158!21, X60)))))))),
% 6.67/4.55 inference(quant_inst,[status(thm)],[])).
% 6.67/4.55 tff(714,plain,
% 6.67/4.55 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | (~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21)))))))))),
% 6.67/4.55 inference(modus_ponens,[status(thm)],[713, 712])).
% 6.67/4.55 tff(715,plain,
% 6.67/4.55 (~((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | (~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))))))))),
% 6.67/4.55 inference(unit_resolution,[status(thm)],[714, 459])).
% 6.67/4.55 tff(716,plain,
% 6.67/4.55 (((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | (~((~root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~((~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21))) | (~root(X158!21, tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X158!21)))))))) | (root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))),
% 6.67/4.56 inference(tautology,[status(thm)],[])).
% 6.67/4.56 tff(717,plain,
% 6.67/4.56 (root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.67/4.56 inference(unit_resolution,[status(thm)],[716, 715])).
% 6.67/4.56 tff(718,plain,
% 6.67/4.56 ((~(root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))))) | root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.67/4.56 inference(tautology,[status(thm)],[])).
% 6.67/4.56 tff(719,plain,
% 6.67/4.56 (root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), X60)) | (~root(X158!21, X60)) | (~subactivity_occurrence(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.67/4.56 inference(unit_resolution,[status(thm)],[718, 717])).
% 6.67/4.56 tff(720,plain,
% 6.67/4.56 (root_occ(X158!21, tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.67/4.56 inference(unit_resolution,[status(thm)],[719, 708])).
% 6.67/4.56 tff(721,plain,
% 6.67/4.56 (root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))),
% 6.67/4.56 inference(modus_ponens,[status(thm)],[720, 702])).
% 6.67/4.56 tff(722,plain,
% 6.67/4.56 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))),
% 6.67/4.56 inference(rewrite,[status(thm)],[])).
% 6.67/4.56 tff(723,plain,
% 6.67/4.56 (((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0)))) <=> ((~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))),
% 6.67/4.56 inference(rewrite,[status(thm)],[])).
% 6.67/4.56 tff(724,plain,
% 6.67/4.56 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))))),
% 6.67/4.56 inference(monotonicity,[status(thm)],[723])).
% 6.67/4.56 tff(725,plain,
% 6.67/4.56 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))))),
% 6.67/4.56 inference(transitivity,[status(thm)],[724, 722])).
% 6.67/4.56 tff(726,plain,
% 6.67/4.56 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))))),
% 6.67/4.56 inference(quant_inst,[status(thm)],[])).
% 6.67/4.56 tff(727,plain,
% 6.67/4.56 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~root_occ(tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)), tptp0))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21)))),
% 6.67/4.56 inference(modus_ponens,[status(thm)],[726, 725])).
% 6.67/4.56 tff(728,plain,
% 6.67/4.56 (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X71_10(tptp0, tptp_fun_X50_7(tptp0, X158!21))),
% 6.67/4.56 inference(unit_resolution,[status(thm)],[727, 504, 721, 604, 701])).
% 6.67/4.56 tff(729,plain,
% 6.67/4.56 (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = X158!21),
% 6.67/4.56 inference(transitivity,[status(thm)],[728, 689])).
% 6.67/4.56 tff(730,plain,
% 6.67/4.56 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))),
% 6.67/4.56 inference(rewrite,[status(thm)],[])).
% 6.67/4.56 tff(731,plain,
% 6.67/4.56 (((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))) <=> ((~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))),
% 6.67/4.56 inference(rewrite,[status(thm)],[])).
% 6.67/4.56 tff(732,plain,
% 6.67/4.56 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))),
% 6.67/4.56 inference(monotonicity,[status(thm)],[731])).
% 6.67/4.56 tff(733,plain,
% 6.67/4.56 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))),
% 6.67/4.56 inference(transitivity,[status(thm)],[732, 730])).
% 6.67/4.56 tff(734,plain,
% 6.67/4.56 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))),
% 6.67/4.56 inference(quant_inst,[status(thm)],[])).
% 6.67/4.56 tff(735,plain,
% 6.67/4.56 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))),
% 6.67/4.56 inference(modus_ponens,[status(thm)],[734, 733])).
% 6.67/4.56 tff(736,plain,
% 6.67/4.56 (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))),
% 6.67/4.57 inference(unit_resolution,[status(thm)],[735, 48, 516, 541])).
% 6.67/4.57 tff(737,plain,
% 6.67/4.57 (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))),
% 6.67/4.57 inference(symmetry,[status(thm)],[736])).
% 6.67/4.57 tff(738,plain,
% 6.67/4.57 (send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)),
% 6.67/4.57 inference(monotonicity,[status(thm)],[737, 729, 543])).
% 6.67/4.57 tff(739,plain,
% 6.67/4.57 (send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0) <=> send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.67/4.57 inference(symmetry,[status(thm)],[738])).
% 6.67/4.57 tff(740,plain,
% 6.67/4.57 (((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~occurrence_of(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))) | (~root_occ(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)),
% 6.67/4.57 inference(tautology,[status(thm)],[])).
% 6.67/4.57 tff(741,plain,
% 6.67/4.57 (send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)),
% 6.67/4.57 inference(unit_resolution,[status(thm)],[740, 489])).
% 6.67/4.57 tff(742,plain,
% 6.67/4.57 (send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.67/4.57 inference(modus_ponens,[status(thm)],[741, 739])).
% 6.67/4.57 tff(743,plain,
% 6.67/4.57 (^[X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : refl((min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))) <=> (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))),
% 6.67/4.57 inference(bind,[status(th)],[])).
% 6.67/4.57 tff(744,plain,
% 6.67/4.57 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))) <=> ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))),
% 6.67/4.57 inference(quant_intro,[status(thm)],[743])).
% 6.67/4.57 tff(745,plain,
% 6.67/4.57 (^[X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : trans(monotonicity(trans(monotonicity(rewrite((send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114)) <=> (~((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))), ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) <=> (~(~((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))))), rewrite((~(~((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))) <=> ((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))), ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) <=> ((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))))), (((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> (((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)))), rewrite((((~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))), (((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))))),
% 6.67/4.57 inference(bind,[status(th)],[])).
% 6.67/4.57 tff(746,plain,
% 6.67/4.57 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))),
% 6.67/4.57 inference(quant_intro,[status(thm)],[745])).
% 6.67/4.57 tff(747,plain,
% 6.67/4.57 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)) <=> ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 6.67/4.57 inference(rewrite,[status(thm)],[])).
% 6.67/4.57 tff(748,plain,
% 6.67/4.57 (^[X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : rewrite(((send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114)) => min_precedes(X117, X119, X118)) <=> ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118)))),
% 6.67/4.57 inference(bind,[status(th)],[])).
% 6.67/4.57 tff(749,plain,
% 6.67/4.57 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114)) => min_precedes(X117, X119, X118)) <=> ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 6.67/4.57 inference(quant_intro,[status(thm)],[748])).
% 6.67/4.57 tff(750,axiom,(![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114)) => min_precedes(X117, X119, X118))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_47')).
% 6.67/4.57 tff(751,plain,
% 6.67/4.57 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 6.67/4.57 inference(modus_ponens,[status(thm)],[750, 749])).
% 6.67/4.57 tff(752,plain,
% 6.67/4.57 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 6.67/4.57 inference(modus_ponens,[status(thm)],[751, 747])).
% 6.67/4.57 tff(753,plain,(
% 6.67/4.57 ![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : ((~(send_message(X114, X115, X116, X117, X118) & occurrence_of(X119, X114))) | min_precedes(X117, X119, X118))),
% 6.67/4.57 inference(skolemize,[status(sab)],[752])).
% 6.67/4.57 tff(754,plain,
% 6.67/4.57 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))),
% 6.67/4.57 inference(modus_ponens,[status(thm)],[753, 746])).
% 6.67/4.57 tff(755,plain,
% 6.67/4.57 (![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))),
% 6.67/4.57 inference(modus_ponens,[status(thm)],[754, 744])).
% 6.67/4.57 tff(756,plain,
% 6.67/4.57 (((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | ((~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))) <=> ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))),
% 6.67/4.57 inference(rewrite,[status(thm)],[])).
% 6.67/4.57 tff(757,plain,
% 6.67/4.57 ((min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))) <=> ((~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))),
% 6.67/4.57 inference(rewrite,[status(thm)],[])).
% 6.67/4.57 tff(758,plain,
% 6.67/4.57 (((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))) <=> ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | ((~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))))),
% 6.67/4.57 inference(monotonicity,[status(thm)],[757])).
% 6.67/4.57 tff(759,plain,
% 6.67/4.57 (((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))) <=> ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))),
% 6.67/4.57 inference(transitivity,[status(thm)],[758, 756])).
% 6.67/4.57 tff(760,plain,
% 6.67/4.57 ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))))),
% 6.71/4.57 inference(quant_inst,[status(thm)],[])).
% 6.71/4.57 tff(761,plain,
% 6.71/4.57 ((~![X114: $i, X115: $i, X116: $i, X117: $i, X118: $i, X119: $i] : (min_precedes(X117, X119, X118) | (~send_message(X114, X115, X116, X117, X118)) | (~occurrence_of(X119, X114)))) | (~send_message(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))),
% 6.71/4.57 inference(modus_ponens,[status(thm)],[760, 759])).
% 6.71/4.57 tff(762,plain,
% 6.71/4.57 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)))))),
% 6.71/4.57 inference(unit_resolution,[status(thm)],[761, 755, 742])).
% 6.71/4.57 tff(763,plain,
% 6.71/4.57 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.71/4.57 inference(unit_resolution,[status(thm)],[762, 542])).
% 6.71/4.57 tff(764,plain,
% 6.71/4.57 (((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) <=> ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))),
% 6.71/4.57 inference(rewrite,[status(thm)],[])).
% 6.71/4.57 tff(765,plain,
% 6.71/4.57 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))),
% 6.71/4.58 inference(quant_inst,[status(thm)],[])).
% 6.71/4.58 tff(766,plain,
% 6.71/4.58 ((~![X21: $i, X22: $i, X23: $i] : ((~min_precedes(X22, X23, X21)) | (~((~occurrence_of(tptp_fun_X24_2(X23, X22, X21), X21)) | (~subactivity_occurrence(X22, tptp_fun_X24_2(X23, X22, X21))) | (~subactivity_occurrence(X23, tptp_fun_X24_2(X23, X22, X21))))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))),
% 6.71/4.58 inference(modus_ponens,[status(thm)],[765, 764])).
% 6.71/4.58 tff(767,plain,
% 6.71/4.58 (~((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.71/4.58 inference(unit_resolution,[status(thm)],[766, 251, 763])).
% 6.71/4.58 tff(768,plain,
% 6.71/4.58 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.71/4.58 inference(tautology,[status(thm)],[])).
% 6.71/4.58 tff(769,plain,
% 6.71/4.58 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.71/4.58 inference(unit_resolution,[status(thm)],[768, 767])).
% 6.71/4.58 tff(770,plain,
% 6.71/4.58 (occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)),
% 6.71/4.58 inference(modus_ponens,[status(thm)],[769, 309])).
% 6.71/4.58 tff(771,plain,
% 6.71/4.58 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))))))),
% 6.71/4.58 inference(rewrite,[status(thm)],[])).
% 6.71/4.58 tff(772,plain,
% 6.71/4.58 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))))))),
% 6.71/4.58 inference(rewrite,[status(thm)],[])).
% 6.71/4.58 tff(773,plain,
% 6.71/4.58 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)))))))),
% 6.71/4.59 inference(monotonicity,[status(thm)],[772])).
% 6.71/4.59 tff(774,plain,
% 6.71/4.59 (((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)))))) <=> ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))))))),
% 6.71/4.59 inference(transitivity,[status(thm)],[773, 771])).
% 6.71/4.59 tff(775,plain,
% 6.71/4.59 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)))))),
% 6.71/4.59 inference(quant_inst,[status(thm)],[])).
% 6.71/4.59 tff(776,plain,
% 6.71/4.59 ((~![X101: $i] : ((~occurrence_of(X101, tptp0)) | (~((~occurrence_of(tptp_fun_X102_13(X101), tptp4)) | (~root_occ(tptp_fun_X102_13(X101), X101)) | (~(occurrence_of(tptp_fun_X103_12(X101), tptp2) | occurrence_of(tptp_fun_X103_12(X101), tptp3))) | (~leaf_occ(tptp_fun_X103_12(X101), X101)) | (~next_subocc(tptp_fun_X102_13(X101), tptp_fun_X103_12(X101), tptp0)))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)))))),
% 6.71/4.59 inference(modus_ponens,[status(thm)],[775, 774])).
% 6.71/4.59 tff(777,plain,
% 6.71/4.59 ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp0)) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)))))),
% 6.71/4.59 inference(unit_resolution,[status(thm)],[776, 99])).
% 6.71/4.59 tff(778,plain,
% 6.71/4.59 (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))))),
% 6.71/4.59 inference(unit_resolution,[status(thm)],[777, 770])).
% 6.71/4.59 tff(779,plain,
% 6.71/4.59 (((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)))) | root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.59 inference(tautology,[status(thm)],[])).
% 6.71/4.59 tff(780,plain,
% 6.71/4.59 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.59 inference(unit_resolution,[status(thm)],[779, 778])).
% 6.71/4.59 tff(781,assumption,(![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))), introduced(assumption)).
% 6.71/4.59 tff(782,plain,
% 6.71/4.60 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.60 inference(tautology,[status(thm)],[])).
% 6.71/4.60 tff(783,plain,
% 6.71/4.60 (subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.60 inference(unit_resolution,[status(thm)],[782, 767])).
% 6.71/4.60 tff(784,plain,
% 6.71/4.60 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.71/4.60 inference(rewrite,[status(thm)],[])).
% 6.71/4.60 tff(785,plain,
% 6.71/4.60 ((~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))))) <=> (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))),
% 6.71/4.60 inference(rewrite,[status(thm)],[])).
% 6.71/4.60 tff(786,plain,
% 6.71/4.60 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.71/4.60 inference(monotonicity,[status(thm)],[785])).
% 6.71/4.60 tff(787,plain,
% 6.71/4.60 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.71/4.60 inference(transitivity,[status(thm)],[786, 784])).
% 6.71/4.60 tff(788,plain,
% 6.71/4.60 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)))))))),
% 6.71/4.60 inference(quant_inst,[status(thm)],[])).
% 6.71/4.60 tff(789,plain,
% 6.71/4.60 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))),
% 6.71/4.60 inference(modus_ponens,[status(thm)],[788, 787])).
% 6.71/4.60 tff(790,plain,
% 6.71/4.60 (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))),
% 6.71/4.60 inference(unit_resolution,[status(thm)],[789, 459])).
% 6.71/4.60 tff(791,plain,
% 6.71/4.60 (((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))) | ((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))),
% 6.71/4.60 inference(tautology,[status(thm)],[])).
% 6.71/4.60 tff(792,plain,
% 6.71/4.60 ((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))),
% 6.71/4.60 inference(unit_resolution,[status(thm)],[791, 790])).
% 6.71/4.60 tff(793,plain,
% 6.71/4.60 ((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))),
% 6.71/4.60 inference(tautology,[status(thm)],[])).
% 6.71/4.60 tff(794,plain,
% 6.71/4.60 ((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))),
% 6.71/4.60 inference(unit_resolution,[status(thm)],[793, 700])).
% 6.71/4.60 tff(795,plain,
% 6.71/4.60 (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.71/4.60 inference(unit_resolution,[status(thm)],[794, 792])).
% 6.71/4.60 tff(796,plain,
% 6.71/4.60 (((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(tautology,[status(thm)],[])).
% 6.71/4.61 tff(797,plain,
% 6.71/4.61 (occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(unit_resolution,[status(thm)],[796, 795])).
% 6.71/4.61 tff(798,plain,
% 6.71/4.61 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(rewrite,[status(thm)],[])).
% 6.71/4.61 tff(799,plain,
% 6.71/4.61 (((tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(rewrite,[status(thm)],[])).
% 6.71/4.61 tff(800,plain,
% 6.71/4.61 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.71/4.61 inference(monotonicity,[status(thm)],[799])).
% 6.71/4.61 tff(801,plain,
% 6.71/4.61 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(transitivity,[status(thm)],[800, 798])).
% 6.71/4.61 tff(802,plain,
% 6.71/4.61 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.71/4.61 inference(quant_inst,[status(thm)],[])).
% 6.71/4.61 tff(803,plain,
% 6.71/4.61 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.71/4.61 inference(modus_ponens,[status(thm)],[802, 801])).
% 6.71/4.61 tff(804,plain,
% 6.71/4.61 (tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) = tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.71/4.61 inference(unit_resolution,[status(thm)],[803, 48, 298, 797])).
% 6.71/4.61 tff(805,plain,
% 6.71/4.61 (tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)) = tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.71/4.61 inference(symmetry,[status(thm)],[804])).
% 6.71/4.61 tff(806,plain,
% 6.71/4.61 (root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(monotonicity,[status(thm)],[805])).
% 6.71/4.61 tff(807,plain,
% 6.71/4.61 (root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) <=> root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.71/4.61 inference(symmetry,[status(thm)],[806])).
% 6.71/4.61 tff(808,plain,
% 6.71/4.61 (((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(tautology,[status(thm)],[])).
% 6.71/4.61 tff(809,plain,
% 6.71/4.61 (root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(unit_resolution,[status(thm)],[808, 795])).
% 6.71/4.61 tff(810,plain,
% 6.71/4.61 (root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.71/4.61 inference(modus_ponens,[status(thm)],[809, 807])).
% 6.71/4.61 tff(811,plain,
% 6.71/4.61 (((~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.71/4.61 inference(rewrite,[status(thm)],[])).
% 6.71/4.61 tff(812,plain,
% 6.71/4.61 (((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.71/4.61 inference(rewrite,[status(thm)],[])).
% 6.71/4.61 tff(813,plain,
% 6.71/4.61 (((~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))) | ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.71/4.61 inference(monotonicity,[status(thm)],[812])).
% 6.71/4.61 tff(814,plain,
% 6.71/4.61 (((~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))) | ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.71/4.61 inference(transitivity,[status(thm)],[813, 811])).
% 6.71/4.61 tff(815,plain,
% 6.71/4.61 ((~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))) | ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.71/4.61 inference(quant_inst,[status(thm)],[])).
% 6.71/4.61 tff(816,plain,
% 6.71/4.61 ((~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.61 inference(modus_ponens,[status(thm)],[815, 814])).
% 6.71/4.61 tff(817,plain,
% 6.71/4.61 ($false),
% 6.71/4.61 inference(unit_resolution,[status(thm)],[816, 810, 769, 783, 781])).
% 6.71/4.61 tff(818,plain,(~![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))), inference(lemma,lemma(discharge,[]))).
% 6.71/4.62 tff(819,plain,
% 6.71/4.62 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.71/4.62 inference(rewrite,[status(thm)],[])).
% 6.71/4.62 tff(820,plain,
% 6.71/4.62 ((~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60))))))) <=> (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))),
% 6.71/4.62 inference(rewrite,[status(thm)],[])).
% 6.71/4.62 tff(821,plain,
% 6.71/4.62 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.71/4.62 inference(monotonicity,[status(thm)],[820])).
% 6.71/4.62 tff(822,plain,
% 6.71/4.62 (((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)))))))) <=> ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.71/4.62 inference(transitivity,[status(thm)],[821, 819])).
% 6.71/4.63 tff(823,plain,
% 6.71/4.63 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))) | (~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)))))))),
% 6.71/4.63 inference(quant_inst,[status(thm)],[])).
% 6.71/4.63 tff(824,plain,
% 6.71/4.63 ((~![X58: $i, X59: $i] : (~((~((~root_occ(X58, X59)) | (~((~subactivity_occurrence(X58, X59)) | (~occurrence_of(X59, tptp_fun_X60_9(X59, X58))) | (~root(X58, tptp_fun_X60_9(X59, X58))))))) | (~(root_occ(X58, X59) | ![X60: $i] : ((~occurrence_of(X59, X60)) | (~subactivity_occurrence(X58, X59)) | (~root(X58, X60)))))))) | (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[823, 822])).
% 6.71/4.63 tff(825,plain,
% 6.71/4.63 (~((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[824, 459])).
% 6.71/4.63 tff(826,plain,
% 6.71/4.63 (((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | (~((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~((~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X60_9(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))) | (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))),
% 6.71/4.63 inference(tautology,[status(thm)],[])).
% 6.71/4.63 tff(827,plain,
% 6.71/4.63 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[826, 825])).
% 6.71/4.63 tff(828,plain,
% 6.71/4.63 ((~(root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60))))) | root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))),
% 6.71/4.63 inference(tautology,[status(thm)],[])).
% 6.71/4.63 tff(829,plain,
% 6.71/4.63 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | ![X60: $i] : ((~root(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), X60)) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), X60)))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[828, 827])).
% 6.71/4.63 tff(830,plain,
% 6.71/4.63 (root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[829, 818])).
% 6.71/4.63 tff(831,plain,
% 6.71/4.63 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(832,plain,
% 6.71/4.64 (((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(833,plain,
% 6.71/4.64 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.77/4.64 inference(monotonicity,[status(thm)],[832])).
% 6.77/4.64 tff(834,plain,
% 6.77/4.64 (((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))) <=> ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.77/4.64 inference(transitivity,[status(thm)],[833, 831])).
% 6.77/4.64 tff(835,plain,
% 6.77/4.64 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | ((tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))),
% 6.77/4.64 inference(quant_inst,[status(thm)],[])).
% 6.77/4.64 tff(836,plain,
% 6.77/4.64 ((~![X90: $i, X91: $i, X92: $i, X93: $i] : ((X90 = X91) | (~occurrence_of(X92, X93)) | (~root_occ(X90, X92)) | (~root_occ(X91, X92)))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.77/4.64 inference(modus_ponens,[status(thm)],[835, 834])).
% 6.77/4.64 tff(837,plain,
% 6.77/4.64 (tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))),
% 6.77/4.64 inference(unit_resolution,[status(thm)],[836, 504, 769, 830, 780])).
% 6.77/4.64 tff(838,plain,
% 6.77/4.64 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.77/4.64 inference(monotonicity,[status(thm)],[837])).
% 6.77/4.64 tff(839,plain,
% 6.77/4.64 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.77/4.64 inference(symmetry,[status(thm)],[838])).
% 6.77/4.64 tff(840,plain,
% 6.77/4.64 (min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.77/4.64 inference(modus_ponens,[status(thm)],[763, 839])).
% 6.77/4.64 tff(841,plain,
% 6.77/4.64 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))))),
% 6.77/4.65 inference(rewrite,[status(thm)],[])).
% 6.77/4.65 tff(842,plain,
% 6.77/4.65 ((~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))) <=> (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.77/4.65 inference(rewrite,[status(thm)],[])).
% 6.77/4.65 tff(843,plain,
% 6.77/4.65 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))))),
% 6.77/4.65 inference(monotonicity,[status(thm)],[842])).
% 6.77/4.65 tff(844,plain,
% 6.77/4.65 (((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))) <=> ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))))),
% 6.80/4.66 inference(transitivity,[status(thm)],[843, 841])).
% 6.80/4.66 tff(845,plain,
% 6.80/4.66 ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.80/4.66 inference(quant_inst,[status(thm)],[])).
% 6.80/4.66 tff(846,plain,
% 6.80/4.66 ((~![X78: $i, X79: $i, X80: $i] : (~((~(next_subocc(X78, X79, X80) | (~min_precedes(X78, X79, X80)) | (~((~min_precedes(X78, tptp_fun_X81_11(X80, X79, X78), X80)) | (~min_precedes(tptp_fun_X81_11(X80, X79, X78), X79, X80)))))) | (~((~next_subocc(X78, X79, X80)) | (~((~min_precedes(X78, X79, X80)) | (~![X81: $i] : ((~min_precedes(X81, X79, X80)) | (~min_precedes(X78, X81, X80))))))))))) | (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))))),
% 6.80/4.67 inference(modus_ponens,[status(thm)],[845, 844])).
% 6.80/4.67 tff(847,plain,
% 6.80/4.67 (~((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))))),
% 6.80/4.67 inference(unit_resolution,[status(thm)],[846, 77])).
% 6.80/4.67 tff(848,plain,
% 6.80/4.67 (((~(next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X81_11(tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))))) | ((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))),
% 6.80/4.67 inference(tautology,[status(thm)],[])).
% 6.80/4.67 tff(849,plain,
% 6.80/4.67 ((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))),
% 6.80/4.67 inference(unit_resolution,[status(thm)],[848, 847])).
% 6.80/4.67 tff(850,plain,
% 6.80/4.67 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) <=> next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)),
% 6.80/4.67 inference(monotonicity,[status(thm)],[543])).
% 6.80/4.67 tff(851,plain,
% 6.80/4.67 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0) <=> next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.80/4.67 inference(symmetry,[status(thm)],[850])).
% 6.80/4.67 tff(852,plain,
% 6.80/4.67 (((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)))) | next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)),
% 6.80/4.67 inference(tautology,[status(thm)],[])).
% 6.80/4.67 tff(853,plain,
% 6.80/4.67 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)),
% 6.80/4.67 inference(unit_resolution,[status(thm)],[852, 778])).
% 6.80/4.67 tff(854,plain,
% 6.80/4.67 (next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.80/4.67 inference(modus_ponens,[status(thm)],[853, 851])).
% 6.80/4.67 tff(855,plain,
% 6.80/4.67 ((~((~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))))),
% 6.80/4.68 inference(tautology,[status(thm)],[])).
% 6.80/4.68 tff(856,plain,
% 6.80/4.68 (~((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[855, 854, 849])).
% 6.80/4.68 tff(857,plain,
% 6.80/4.68 (((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))))) | ![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.80/4.68 inference(tautology,[status(thm)],[])).
% 6.80/4.68 tff(858,plain,
% 6.80/4.68 (![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[857, 856])).
% 6.80/4.68 tff(859,plain,
% 6.80/4.68 (((~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) <=> ((~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.80/4.68 inference(rewrite,[status(thm)],[])).
% 6.80/4.68 tff(860,plain,
% 6.80/4.68 ((~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))),
% 6.80/4.68 inference(quant_inst,[status(thm)],[])).
% 6.80/4.68 tff(861,plain,
% 6.80/4.68 ((~![X81: $i] : ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), X81, tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(X81, tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | (~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.80/4.68 inference(modus_ponens,[status(thm)],[860, 859])).
% 6.80/4.68 tff(862,plain,
% 6.80/4.68 ((~min_precedes(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[861, 858])).
% 6.80/4.68 tff(863,plain,
% 6.80/4.68 (~min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[862, 840])).
% 6.80/4.68 tff(864,plain,
% 6.80/4.68 (((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)))) | leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.80/4.68 inference(tautology,[status(thm)],[])).
% 6.80/4.68 tff(865,plain,
% 6.80/4.68 (leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[864, 778])).
% 6.80/4.68 tff(866,plain,
% 6.80/4.68 (((~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))))) | subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.80/4.68 inference(tautology,[status(thm)],[])).
% 6.80/4.68 tff(867,plain,
% 6.80/4.68 (subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[866, 767])).
% 6.80/4.68 tff(868,plain,
% 6.80/4.68 (arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) <=> arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)))),
% 6.80/4.68 inference(monotonicity,[status(thm)],[358])).
% 6.80/4.68 tff(869,plain,
% 6.80/4.68 (arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) <=> arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.80/4.68 inference(symmetry,[status(thm)],[868])).
% 6.80/4.68 tff(870,plain,
% 6.80/4.68 (((~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))),
% 6.80/4.68 inference(tautology,[status(thm)],[])).
% 6.80/4.68 tff(871,plain,
% 6.80/4.68 (root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[870, 436])).
% 6.80/4.68 tff(872,plain,
% 6.80/4.68 (((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))))) <=> ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))))),
% 6.80/4.68 inference(rewrite,[status(thm)],[])).
% 6.80/4.68 tff(873,plain,
% 6.80/4.68 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | (legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0))))),
% 6.80/4.68 inference(quant_inst,[status(thm)],[])).
% 6.80/4.68 tff(874,plain,
% 6.80/4.68 ((~![X53: $i, X54: $i] : (legal(X53) | (~root(X53, X54)))) | legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~root(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)), tptp_fun_X151_19(X159!20, X158!21, tptp0)))),
% 6.80/4.68 inference(modus_ponens,[status(thm)],[873, 872])).
% 6.80/4.68 tff(875,plain,
% 6.80/4.68 (legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[874, 637, 871])).
% 6.80/4.68 tff(876,plain,
% 6.80/4.68 (((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)))))) <=> ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)))))),
% 6.80/4.68 inference(rewrite,[status(thm)],[])).
% 6.80/4.68 tff(877,plain,
% 6.80/4.68 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | (arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)))))),
% 6.80/4.68 inference(quant_inst,[status(thm)],[])).
% 6.80/4.68 tff(878,plain,
% 6.80/4.68 ((~![X43: $i] : (arboreal(X43) | (~legal(X43)))) | arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))) | (~legal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0))))),
% 6.80/4.68 inference(modus_ponens,[status(thm)],[877, 876])).
% 6.80/4.68 tff(879,plain,
% 6.80/4.68 (arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X151_19(X159!20, X158!21, tptp0)))),
% 6.80/4.68 inference(unit_resolution,[status(thm)],[878, 651, 875])).
% 6.80/4.68 tff(880,plain,
% 6.80/4.68 (arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.80/4.68 inference(modus_ponens,[status(thm)],[879, 869])).
% 6.80/4.68 tff(881,plain,
% 6.80/4.68 (^[X8: $i, X9: $i, X10: $i, X11: $i] : refl(((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))) <=> ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))),
% 6.80/4.68 inference(bind,[status(th)],[])).
% 6.80/4.68 tff(882,plain,
% 6.80/4.68 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))) <=> ![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))),
% 6.80/4.68 inference(quant_intro,[status(thm)],[881])).
% 6.80/4.68 tff(883,plain,
% 6.80/4.68 (^[X8: $i, X9: $i, X10: $i, X11: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8))) <=> (~(min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))), ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) <=> (~(~(min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))))), rewrite((~(~(min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))) <=> (min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))), ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) <=> (min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))))), (((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10)) <=> ((min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))) | (X11 = X10)))), rewrite(((min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10))) | (X11 = X10)) <=> ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))), (((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10)) <=> ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))))),
% 6.80/4.68 inference(bind,[status(th)],[])).
% 6.80/4.68 tff(884,plain,
% 6.80/4.68 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10)) <=> ![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))),
% 6.80/4.68 inference(quant_intro,[status(thm)],[883])).
% 6.80/4.68 tff(885,plain,
% 6.80/4.68 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10)) <=> ![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 6.80/4.68 inference(rewrite,[status(thm)],[])).
% 6.80/4.68 tff(886,plain,
% 6.80/4.68 (^[X8: $i, X9: $i, X10: $i, X11: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9))), ((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) <=> ((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9)) & arboreal(X10)))), rewrite(((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9)) & arboreal(X10)) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10))), ((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10)))), (((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) <=> ((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10)) & (~min_precedes(X10, X11, X8))))), rewrite(((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))), (((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) <=> (occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8))))), ((((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) => (X11 = X10)) <=> ((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8))) => (X11 = X10)))), rewrite(((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8))) => (X11 = X10)) <=> ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))), ((((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) => (X11 = X10)) <=> ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))))),
% 6.80/4.69 inference(bind,[status(th)],[])).
% 6.80/4.69 tff(887,plain,
% 6.80/4.69 (![X8: $i, X9: $i, X10: $i, X11: $i] : (((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) => (X11 = X10)) <=> ![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 6.80/4.69 inference(quant_intro,[status(thm)],[886])).
% 6.80/4.69 tff(888,axiom,(![X8: $i, X9: $i, X10: $i, X11: $i] : (((((occurrence_of(X9, X8) & subactivity_occurrence(X10, X9)) & leaf_occ(X11, X9)) & arboreal(X10)) & (~min_precedes(X10, X11, X8))) => (X11 = X10))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_02')).
% 6.80/4.69 tff(889,plain,
% 6.80/4.69 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 6.80/4.69 inference(modus_ponens,[status(thm)],[888, 887])).
% 6.80/4.69 tff(890,plain,
% 6.80/4.69 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 6.80/4.69 inference(modus_ponens,[status(thm)],[889, 885])).
% 6.80/4.69 tff(891,plain,(
% 6.80/4.69 ![X8: $i, X9: $i, X10: $i, X11: $i] : ((~(occurrence_of(X9, X8) & subactivity_occurrence(X10, X9) & leaf_occ(X11, X9) & arboreal(X10) & (~min_precedes(X10, X11, X8)))) | (X11 = X10))),
% 6.80/4.69 inference(skolemize,[status(sab)],[890])).
% 6.80/4.69 tff(892,plain,
% 6.80/4.69 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))),
% 6.80/4.69 inference(modus_ponens,[status(thm)],[891, 884])).
% 6.80/4.69 tff(893,plain,
% 6.80/4.69 (![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))),
% 6.80/4.69 inference(modus_ponens,[status(thm)],[892, 882])).
% 6.80/4.69 tff(894,plain,
% 6.80/4.69 (((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))) <=> ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.80/4.69 inference(rewrite,[status(thm)],[])).
% 6.80/4.69 tff(895,plain,
% 6.80/4.69 (((tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))) <=> ((~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.80/4.69 inference(rewrite,[status(thm)],[])).
% 6.80/4.69 tff(896,plain,
% 6.80/4.69 (((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))) <=> ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.80/4.69 inference(monotonicity,[status(thm)],[895])).
% 6.80/4.69 tff(897,plain,
% 6.80/4.69 (((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))) <=> ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))))),
% 6.80/4.69 inference(transitivity,[status(thm)],[896, 894])).
% 6.80/4.69 tff(898,plain,
% 6.80/4.69 ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | ((tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))))),
% 6.80/4.69 inference(quant_inst,[status(thm)],[])).
% 6.80/4.69 tff(899,plain,
% 6.80/4.69 ((~![X8: $i, X9: $i, X10: $i, X11: $i] : ((X11 = X10) | min_precedes(X10, X11, X8) | (~occurrence_of(X9, X8)) | (~subactivity_occurrence(X10, X9)) | (~leaf_occ(X11, X9)) | (~arboreal(X10)))) | (~arboreal(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))) | (~subactivity_occurrence(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | min_precedes(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))) | (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))))),
% 6.80/4.70 inference(modus_ponens,[status(thm)],[898, 897])).
% 6.80/4.70 tff(900,plain,
% 6.80/4.70 (tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))) = tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0)))),
% 6.80/4.70 inference(unit_resolution,[status(thm)],[899, 893, 880, 769, 867, 865, 863])).
% 6.80/4.70 tff(901,plain,
% 6.80/4.70 (tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))) = tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))),
% 6.80/4.70 inference(symmetry,[status(thm)],[900])).
% 6.80/4.70 tff(902,plain,
% 6.80/4.70 (occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3) <=> occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)),
% 6.80/4.70 inference(monotonicity,[status(thm)],[901])).
% 6.80/4.70 tff(903,plain,
% 6.80/4.70 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3) <=> occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)),
% 6.80/4.70 inference(symmetry,[status(thm)],[902])).
% 6.80/4.70 tff(904,plain,
% 6.80/4.70 ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) <=> (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2)),
% 6.80/4.70 inference(monotonicity,[status(thm)],[737])).
% 6.80/4.70 tff(905,plain,
% 6.80/4.70 ((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2) <=> (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2)),
% 6.80/4.70 inference(symmetry,[status(thm)],[904])).
% 6.80/4.70 tff(906,plain,
% 6.80/4.70 ((~(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2)) <=> (~(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2))),
% 6.80/4.70 inference(monotonicity,[status(thm)],[905])).
% 6.80/4.70 tff(907,plain,
% 6.80/4.70 (^[X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : refl(((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4)))) <=> ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4)))))),
% 6.80/4.70 inference(bind,[status(th)],[])).
% 6.80/4.70 tff(908,plain,
% 6.80/4.70 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4)))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))),
% 6.80/4.70 inference(quant_intro,[status(thm)],[907])).
% 6.80/4.70 tff(909,plain,
% 6.80/4.70 (^[X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : rewrite(((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))) <=> ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4)))))),
% 6.80/4.70 inference(bind,[status(th)],[])).
% 6.80/4.70 tff(910,plain,
% 6.80/4.70 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))),
% 6.80/4.70 inference(quant_intro,[status(thm)],[909])).
% 6.80/4.70 tff(911,plain,
% 6.80/4.70 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 6.80/4.70 inference(rewrite,[status(thm)],[])).
% 6.80/4.70 tff(912,plain,
% 6.80/4.70 (^[X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : trans(monotonicity(rewrite((((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2))) <=> ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))), ((send_message(X109, X110, X111, X112, X113) => (((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2)))) <=> (send_message(X109, X110, X111, X112, X113) => ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))))), rewrite((send_message(X109, X110, X111, X112, X113) => ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2)))) <=> ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))), ((send_message(X109, X110, X111, X112, X113) => (((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2)))) <=> ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))))),
% 6.80/4.70 inference(bind,[status(th)],[])).
% 6.80/4.70 tff(913,plain,
% 6.80/4.70 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : (send_message(X109, X110, X111, X112, X113) => (((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2)))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 6.80/4.70 inference(quant_intro,[status(thm)],[912])).
% 6.80/4.70 tff(914,axiom,(![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : (send_message(X109, X110, X111, X112, X113) => (((~(X109 = tptp4)) & (~(X109 = tptp3))) & (~(X109 = tptp2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_46')).
% 6.80/4.70 tff(915,plain,
% 6.80/4.70 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 6.80/4.70 inference(modus_ponens,[status(thm)],[914, 913])).
% 6.80/4.70 tff(916,plain,
% 6.80/4.70 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 6.80/4.70 inference(modus_ponens,[status(thm)],[915, 911])).
% 6.80/4.70 tff(917,plain,(
% 6.80/4.70 ![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | ((~(X109 = tptp4)) & (~(X109 = tptp3)) & (~(X109 = tptp2))))),
% 6.80/4.70 inference(skolemize,[status(sab)],[916])).
% 6.80/4.70 tff(918,plain,
% 6.80/4.70 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))),
% 6.80/4.70 inference(modus_ponens,[status(thm)],[917, 910])).
% 6.80/4.70 tff(919,plain,
% 6.80/4.70 (![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))),
% 6.80/4.70 inference(modus_ponens,[status(thm)],[918, 908])).
% 6.80/4.70 tff(920,plain,
% 6.80/4.70 (((~![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))) | ((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp4))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))) | (~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp4))))),
% 6.80/4.70 inference(rewrite,[status(thm)],[])).
% 6.80/4.70 tff(921,plain,
% 6.80/4.70 ((~![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))) | ((~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp4))))),
% 6.80/4.70 inference(quant_inst,[status(thm)],[])).
% 6.80/4.70 tff(922,plain,
% 6.80/4.70 ((~![X109: $i, X110: $i, X111: $i, X112: $i, X113: $i] : ((~send_message(X109, X110, X111, X112, X113)) | (~((X109 = tptp2) | (X109 = tptp3) | (X109 = tptp4))))) | (~send_message(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)), tptp_fun_X152_18(X159!20, X158!21, tptp0), tptp_fun_X153_17(X159!20, X158!21, tptp0), X158!21, tptp0)) | (~((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp4)))),
% 6.80/4.70 inference(modus_ponens,[status(thm)],[921, 920])).
% 6.80/4.70 tff(923,plain,
% 6.80/4.70 (~((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp4))),
% 6.80/4.70 inference(unit_resolution,[status(thm)],[922, 919, 741])).
% 6.80/4.70 tff(924,plain,
% 6.80/4.70 (((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp4)) | (~(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2))),
% 6.80/4.70 inference(tautology,[status(thm)],[])).
% 6.80/4.70 tff(925,plain,
% 6.80/4.70 (~(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2)),
% 6.80/4.70 inference(unit_resolution,[status(thm)],[924, 923])).
% 6.80/4.70 tff(926,plain,
% 6.80/4.70 (~(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2)),
% 6.80/4.70 inference(modus_ponens,[status(thm)],[925, 906])).
% 6.80/4.70 tff(927,plain,
% 6.80/4.70 (occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2) <=> occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2)),
% 6.80/4.70 inference(monotonicity,[status(thm)],[901])).
% 6.80/4.70 tff(928,plain,
% 6.80/4.70 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) <=> occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)),
% 6.80/4.70 inference(symmetry,[status(thm)],[927])).
% 6.80/4.70 tff(929,assumption,(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2)), introduced(assumption)).
% 6.80/4.70 tff(930,plain,
% 6.80/4.70 (occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)),
% 6.80/4.70 inference(modus_ponens,[status(thm)],[929, 928])).
% 6.80/4.70 tff(931,plain,
% 6.80/4.70 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)))),
% 6.80/4.70 inference(rewrite,[status(thm)],[])).
% 6.80/4.70 tff(932,plain,
% 6.80/4.70 (((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2))) <=> ((~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)))),
% 6.80/4.70 inference(rewrite,[status(thm)],[])).
% 6.80/4.70 tff(933,plain,
% 6.80/4.70 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2))))),
% 6.80/4.70 inference(monotonicity,[status(thm)],[932])).
% 6.80/4.70 tff(934,plain,
% 6.80/4.70 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)))),
% 6.80/4.70 inference(transitivity,[status(thm)],[933, 931])).
% 6.80/4.70 tff(935,plain,
% 6.80/4.70 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2)))),
% 6.80/4.71 inference(quant_inst,[status(thm)],[])).
% 6.80/4.71 tff(936,plain,
% 6.80/4.71 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2))),
% 6.80/4.71 inference(modus_ponens,[status(thm)],[935, 934])).
% 6.80/4.71 tff(937,plain,
% 6.80/4.71 ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp2) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp2))),
% 6.80/4.71 inference(unit_resolution,[status(thm)],[936, 48, 542])).
% 6.80/4.71 tff(938,plain,
% 6.80/4.71 ($false),
% 6.80/4.71 inference(unit_resolution,[status(thm)],[937, 930, 926])).
% 6.80/4.71 tff(939,plain,(~occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2)), inference(lemma,lemma(discharge,[]))).
% 6.80/4.71 tff(940,plain,
% 6.80/4.71 (((~root_occ(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp4)) | (~leaf_occ(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0))))) | (~next_subocc(tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp0)) | (~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)))) | (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))),
% 6.80/4.71 inference(tautology,[status(thm)],[])).
% 6.80/4.71 tff(941,plain,
% 6.80/4.71 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)),
% 6.80/4.71 inference(unit_resolution,[status(thm)],[940, 778])).
% 6.80/4.71 tff(942,plain,
% 6.80/4.71 ((~(occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3))) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)),
% 6.80/4.71 inference(tautology,[status(thm)],[])).
% 6.80/4.71 tff(943,plain,
% 6.80/4.71 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp2) | occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)),
% 6.80/4.71 inference(unit_resolution,[status(thm)],[942, 941])).
% 6.80/4.71 tff(944,plain,
% 6.80/4.71 (occurrence_of(tptp_fun_X103_12(tptp_fun_X24_2(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X102_13(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)), tptp_fun_X42_4(tptp_fun_X24_2(tptp_fun_X50_7(tptp0, X158!21), X158!21, tptp0)))), tptp3)),
% 6.80/4.71 inference(unit_resolution,[status(thm)],[943, 939])).
% 6.80/4.71 tff(945,plain,
% 6.80/4.71 (occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)),
% 6.80/4.71 inference(modus_ponens,[status(thm)],[944, 903])).
% 6.80/4.71 tff(946,plain,
% 6.80/4.71 ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3) <=> (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3)),
% 6.80/4.71 inference(monotonicity,[status(thm)],[737])).
% 6.80/4.71 tff(947,plain,
% 6.80/4.71 ((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3) <=> (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3)),
% 6.80/4.71 inference(symmetry,[status(thm)],[946])).
% 6.80/4.71 tff(948,plain,
% 6.80/4.71 ((~(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3)) <=> (~(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3))),
% 6.80/4.71 inference(monotonicity,[status(thm)],[947])).
% 6.80/4.71 tff(949,plain,
% 6.80/4.71 (((tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp2) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3) | (tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp4)) | (~(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3))),
% 6.80/4.71 inference(tautology,[status(thm)],[])).
% 6.80/4.71 tff(950,plain,
% 6.80/4.71 (~(tptp_fun_X142_15(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0)) = tptp3)),
% 6.80/4.71 inference(unit_resolution,[status(thm)],[949, 923])).
% 6.80/4.71 tff(951,plain,
% 6.80/4.71 (~(tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3)),
% 6.80/4.71 inference(modus_ponens,[status(thm)],[950, 948])).
% 6.80/4.71 tff(952,plain,
% 6.80/4.71 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3))),
% 6.80/4.71 inference(rewrite,[status(thm)],[])).
% 6.80/4.71 tff(953,plain,
% 6.80/4.71 (((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3))) <=> ((~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3))),
% 6.80/4.71 inference(rewrite,[status(thm)],[])).
% 6.80/4.71 tff(954,plain,
% 6.80/4.71 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3)))),
% 6.80/4.71 inference(monotonicity,[status(thm)],[953])).
% 6.80/4.71 tff(955,plain,
% 6.80/4.71 (((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)))) <=> ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3))),
% 6.80/4.72 inference(transitivity,[status(thm)],[954, 952])).
% 6.80/4.72 tff(956,plain,
% 6.80/4.72 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | ((tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)))),
% 6.80/4.72 inference(quant_inst,[status(thm)],[])).
% 6.80/4.72 tff(957,plain,
% 6.80/4.72 ((~![X28: $i, X29: $i, X30: $i] : ((X29 = X30) | (~occurrence_of(X28, X29)) | (~occurrence_of(X28, X30)))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))))) | (~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3)),
% 6.80/4.72 inference(modus_ponens,[status(thm)],[956, 955])).
% 6.80/4.72 tff(958,plain,
% 6.80/4.72 ((~occurrence_of(tptp_fun_X2_0(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp_fun_X42_4(tptp_fun_X154_16(X159!20, X158!21, tptp0))), tptp3)) | (tptp_fun_X42_4(tptp_fun_X143_14(tptp_fun_X154_16(X159!20, X158!21, tptp0), tptp0, X158!21, tptp_fun_X153_17(X159!20, X158!21, tptp0), tptp_fun_X152_18(X159!20, X158!21, tptp0))) = tptp3)),
% 6.80/4.72 inference(unit_resolution,[status(thm)],[957, 48, 542])).
% 6.80/4.72 tff(959,plain,
% 6.80/4.72 ($false),
% 6.80/4.72 inference(unit_resolution,[status(thm)],[958, 951, 945])).
% 6.80/4.72 % SZS output end Proof
%------------------------------------------------------------------------------