%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO016+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:23:04 AM UTC 2025
% Result : Theorem 24.23s 24.41s
% Output : Proof 24.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO016+3 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.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
% 0.12/0.34 % DateTime : Fri Jun 20 02:37:37 EDT 2025
% 0.12/0.34 % CPUTime :
% 24.23/24.41 % SZS status Theorem
% 24.23/24.41 % SZS output start Proof
% 24.23/24.41 tff(root_type, type, (
% 24.23/24.41 root: ( $i * $i ) > $o)).
% 24.23/24.41 tff(tptp_fun_X104_14_type, type, (
% 24.23/24.41 tptp_fun_X104_14: ( $i * $i ) > $i)).
% 24.23/24.41 tff(tptp_fun_X165_16_type, type, (
% 24.23/24.41 tptp_fun_X165_16: ( $i * $i ) > $i)).
% 24.23/24.41 tff(tptp_fun_X164_17_type, type, (
% 24.23/24.41 tptp_fun_X164_17: ( $i * $i ) > $i)).
% 24.23/24.41 tff(tptp_fun_X166_20_type, type, (
% 24.23/24.41 tptp_fun_X166_20: $i)).
% 24.23/24.41 tff(tptp_fun_X167_19_type, type, (
% 24.23/24.41 tptp_fun_X167_19: $i)).
% 24.23/24.41 tff(tptp_fun_X72_9_type, type, (
% 24.23/24.41 tptp_fun_X72_9: ( $i * $i * $i ) > $i)).
% 24.23/24.41 tff(tptp_fun_X3_0_type, type, (
% 24.23/24.41 tptp_fun_X3_0: $i > $i)).
% 24.23/24.41 tff(tptp_fun_X34_4_type, type, (
% 24.23/24.41 tptp_fun_X34_4: ( $i * $i ) > $i)).
% 24.23/24.41 tff(tptp0_type, type, (
% 24.23/24.41 tptp0: $i)).
% 24.23/24.41 tff(tptp_fun_X78_11_type, type, (
% 24.23/24.41 tptp_fun_X78_11: ( $i * $i ) > $i)).
% 24.23/24.41 tff(occurrence_of_type, type, (
% 24.23/24.41 occurrence_of: ( $i * $i ) > $o)).
% 24.23/24.41 tff(subactivity_occurrence_type, type, (
% 24.23/24.41 subactivity_occurrence: ( $i * $i ) > $o)).
% 24.23/24.41 tff(leaf_type, type, (
% 24.23/24.41 leaf: ( $i * $i ) > $o)).
% 24.23/24.41 tff(leaf_occ_type, type, (
% 24.23/24.41 leaf_occ: ( $i * $i ) > $o)).
% 24.23/24.41 tff(next_subocc_type, type, (
% 24.23/24.41 next_subocc: ( $i * $i * $i ) > $o)).
% 24.23/24.41 tff(tptp2_type, type, (
% 24.23/24.41 tptp2: $i)).
% 24.23/24.41 tff(tptp1_type, type, (
% 24.23/24.41 tptp1: $i)).
% 24.23/24.41 tff(tptp_fun_X163_18_type, type, (
% 24.23/24.41 tptp_fun_X163_18: ( $i * $i ) > $i)).
% 24.23/24.41 tff(tptp4_type, type, (
% 24.23/24.41 tptp4: $i)).
% 24.23/24.41 tff(tptp3_type, type, (
% 24.23/24.41 tptp3: $i)).
% 24.23/24.41 tff(min_precedes_type, type, (
% 24.23/24.41 min_precedes: ( $i * $i * $i ) > $o)).
% 24.23/24.41 tff(tptp_fun_X58_5_type, type, (
% 24.23/24.41 tptp_fun_X58_5: ( $i * $i ) > $i)).
% 24.23/24.41 tff(activity_type, type, (
% 24.23/24.41 activity: $i > $o)).
% 24.23/24.41 tff(activity_occurrence_type, type, (
% 24.23/24.41 activity_occurrence: $i > $o)).
% 24.23/24.41 tff(tptp_fun_X171_22_type, type, (
% 24.23/24.41 tptp_fun_X171_22: $i > $i)).
% 24.23/24.41 tff(tptp_fun_X170_21_type, type, (
% 24.23/24.41 tptp_fun_X170_21: $i > $i)).
% 24.23/24.41 tff(arboreal_type, type, (
% 24.23/24.41 arboreal: $i > $o)).
% 24.23/24.41 tff(tptp_fun_X63_7_type, type, (
% 24.23/24.41 tptp_fun_X63_7: ( $i * $i * $i ) > $i)).
% 24.23/24.41 tff(tptp_fun_X59_6_type, type, (
% 24.23/24.41 tptp_fun_X59_6: ( $i * $i ) > $i)).
% 24.23/24.41 tff(atomic_type, type, (
% 24.23/24.41 atomic: $i > $o)).
% 24.23/24.41 tff(legal_type, type, (
% 24.23/24.41 legal: $i > $o)).
% 24.23/24.41 tff(1,plain,
% 24.23/24.41 (^[X102: $i, X103: $i] : refl((~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))))),
% 24.23/24.41 inference(bind,[status(th)],[])).
% 24.23/24.41 tff(2,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> ![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 24.23/24.41 inference(quant_intro,[status(thm)],[1])).
% 24.23/24.41 tff(3,plain,
% 24.23/24.41 (^[X102: $i, X103: $i] : rewrite((~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))))),
% 24.23/24.41 inference(bind,[status(th)],[])).
% 24.23/24.41 tff(4,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> ![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 24.23/24.41 inference(quant_intro,[status(thm)],[3])).
% 24.23/24.41 tff(5,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))) <=> ![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 24.23/24.41 inference(transitivity,[status(thm)],[4, 2])).
% 24.23/24.41 tff(6,plain,
% 24.23/24.41 (^[X102: $i, X103: $i] : trans(monotonicity(rewrite(((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) <=> ((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))), rewrite((leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))) <=> (leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))), ((((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) & (leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))))) <=> (((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102)))))) & (leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))))), rewrite((((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102)))))) & (leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104))))) <=> (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))), ((((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) & (leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))))) <=> (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))))),
% 24.23/24.41 inference(bind,[status(th)],[])).
% 24.23/24.41 tff(7,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) & (leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))))) <=> ![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 24.23/24.41 inference(quant_intro,[status(thm)],[6])).
% 24.23/24.41 tff(8,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))) <=> ![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))),
% 24.23/24.41 inference(rewrite,[status(thm)],[])).
% 24.23/24.41 tff(9,plain,
% 24.23/24.41 (^[X102: $i, X103: $i] : rewrite((leaf_occ(X102, X103) <=> ?[X104: $i] : ((occurrence_of(X103, X104) & subactivity_occurrence(X102, X103)) & leaf(X102, X104))) <=> (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104))))),
% 24.23/24.41 inference(bind,[status(th)],[])).
% 24.23/24.41 tff(10,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : ((occurrence_of(X103, X104) & subactivity_occurrence(X102, X103)) & leaf(X102, X104))) <=> ![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))),
% 24.23/24.41 inference(quant_intro,[status(thm)],[9])).
% 24.23/24.41 tff(11,axiom,(![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : ((occurrence_of(X103, X104) & subactivity_occurrence(X102, X103)) & leaf(X102, X104)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_34')).
% 24.23/24.41 tff(12,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))),
% 24.23/24.41 inference(modus_ponens,[status(thm)],[11, 10])).
% 24.23/24.41 tff(13,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (leaf_occ(X102, X103) <=> ?[X104: $i] : (occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))),
% 24.23/24.41 inference(modus_ponens,[status(thm)],[12, 8])).
% 24.23/24.41 tff(14,plain,(
% 24.23/24.41 ![X102: $i, X103: $i] : (((~leaf_occ(X102, X103)) | (occurrence_of(X103, tptp_fun_X104_14(X103, X102)) & subactivity_occurrence(X102, X103) & leaf(X102, tptp_fun_X104_14(X103, X102)))) & (leaf_occ(X102, X103) | ![X104: $i] : (~(occurrence_of(X103, X104) & subactivity_occurrence(X102, X103) & leaf(X102, X104)))))),
% 24.23/24.41 inference(skolemize,[status(sab)],[13])).
% 24.23/24.41 tff(15,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 24.23/24.41 inference(modus_ponens,[status(thm)],[14, 7])).
% 24.23/24.41 tff(16,plain,
% 24.23/24.41 (![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))),
% 24.23/24.41 inference(modus_ponens,[status(thm)],[15, 5])).
% 24.23/24.41 tff(17,plain,
% 24.23/24.41 (((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104)))))))) <=> ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104))))))))),
% 24.23/24.41 inference(rewrite,[status(thm)],[])).
% 24.23/24.41 tff(18,plain,
% 24.23/24.41 ((~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104))))))) <=> (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104)))))))),
% 24.23/24.42 inference(rewrite,[status(thm)],[])).
% 24.23/24.42 tff(19,plain,
% 24.23/24.42 (((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104)))))))) <=> ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104))))))))),
% 24.23/24.42 inference(monotonicity,[status(thm)],[18])).
% 24.23/24.42 tff(20,plain,
% 24.23/24.42 (((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104)))))))) <=> ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104))))))))),
% 24.23/24.42 inference(transitivity,[status(thm)],[19, 17])).
% 24.23/24.42 tff(21,plain,
% 24.23/24.42 ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104)))))))),
% 24.23/24.42 inference(quant_inst,[status(thm)],[])).
% 24.23/24.42 tff(22,plain,
% 24.23/24.42 ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104)))))))),
% 24.23/24.42 inference(modus_ponens,[status(thm)],[21, 20])).
% 24.23/24.42 tff(23,plain,
% 24.23/24.42 (~((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104))))))),
% 24.23/24.42 inference(unit_resolution,[status(thm)],[22, 16])).
% 24.23/24.42 tff(24,plain,
% 24.23/24.42 (((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~(leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X104)))))) | ((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.23/24.42 inference(tautology,[status(thm)],[])).
% 24.23/24.42 tff(25,plain,
% 24.23/24.42 ((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.23/24.42 inference(unit_resolution,[status(thm)],[24, 23])).
% 24.23/24.42 tff(26,plain,
% 24.23/24.42 (((occurrence_of(X167!19, tptp0) & subactivity_occurrence(X166!20, X167!19) & arboreal(X166!20) & (~leaf_occ(X166!20, X167!19))) & ![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0)))) <=> (occurrence_of(X167!19, tptp0) & subactivity_occurrence(X166!20, X167!19) & arboreal(X166!20) & (~leaf_occ(X166!20, X167!19)) & ![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))))),
% 24.23/24.43 inference(rewrite,[status(thm)],[])).
% 24.23/24.43 tff(27,plain,
% 24.23/24.43 (^[X168: $i, X169: $i] : trans(monotonicity(rewrite((occurrence_of(X169, tptp1) & (occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0))) <=> (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0))), rewrite((occurrence_of(X169, tptp2) & (occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))) <=> (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))), (((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & (occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0))) | (occurrence_of(X169, tptp2) & (occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0)))) <=> ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))))), rewrite(((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))) <=> ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0)))), (((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & (occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0))) | (occurrence_of(X169, tptp2) & (occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0)))) <=> ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0)))))),
% 24.23/24.43 inference(bind,[status(th)],[])).
% 24.23/24.43 tff(28,plain,
% 24.23/24.43 (![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & (occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0))) | (occurrence_of(X169, tptp2) & (occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0)))) <=> ![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0)))),
% 24.23/24.43 inference(quant_intro,[status(thm)],[27])).
% 24.23/24.43 tff(29,plain,
% 24.23/24.43 (((occurrence_of(X167!19, tptp0) & subactivity_occurrence(X166!20, X167!19) & arboreal(X166!20) & (~leaf_occ(X166!20, X167!19))) & ![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & (occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0))) | (occurrence_of(X169, tptp2) & (occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))))) <=> ((occurrence_of(X167!19, tptp0) & subactivity_occurrence(X166!20, X167!19) & arboreal(X166!20) & (~leaf_occ(X166!20, X167!19))) & ![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))))),
% 24.23/24.43 inference(monotonicity,[status(thm)],[28])).
% 24.23/24.43 tff(30,plain,
% 24.23/24.43 (((occurrence_of(X167!19, tptp0) & subactivity_occurrence(X166!20, X167!19) & arboreal(X166!20) & (~leaf_occ(X166!20, X167!19))) & ![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & (occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0))) | (occurrence_of(X169, tptp2) & (occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))))) <=> (occurrence_of(X167!19, tptp0) & subactivity_occurrence(X166!20, X167!19) & arboreal(X166!20) & (~leaf_occ(X166!20, X167!19)) & ![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0))))),
% 24.23/24.43 inference(transitivity,[status(thm)],[29, 26])).
% 24.23/24.43 tff(31,plain,
% 24.23/24.43 ((~![X166: $i, X167: $i] : ((~(occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167) & arboreal(X166) & (~leaf_occ(X166, X167)))) | ?[X168: $i, X169: $i] : (occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2)) & min_precedes(X168, X169, tptp0) & leaf_occ(X169, X167) & ((~occurrence_of(X169, tptp1)) | (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0)))) & ((~occurrence_of(X169, tptp2)) | (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0))))))) <=> (~![X166: $i, X167: $i] : ((~(occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167) & arboreal(X166) & (~leaf_occ(X166, X167)))) | ?[X168: $i, X169: $i] : (occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2)) & min_precedes(X168, X169, tptp0) & leaf_occ(X169, X167) & ((~occurrence_of(X169, tptp1)) | (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0)))) & ((~occurrence_of(X169, tptp2)) | (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0)))))))),
% 24.23/24.43 inference(rewrite,[status(thm)],[])).
% 24.23/24.43 tff(32,plain,
% 24.23/24.43 ((~![X166: $i, X167: $i] : ((((occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167)) & arboreal(X166)) & (~leaf_occ(X166, X167))) => ?[X168: $i, X169: $i] : ((((((occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0)) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) & min_precedes(X168, X169, tptp0)) & leaf_occ(X169, X167)) & (occurrence_of(X169, tptp1) => (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0))))) & (occurrence_of(X169, tptp2) => (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0))))))) <=> (~![X166: $i, X167: $i] : ((~(occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167) & arboreal(X166) & (~leaf_occ(X166, X167)))) | ?[X168: $i, X169: $i] : (occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2)) & min_precedes(X168, X169, tptp0) & leaf_occ(X169, X167) & ((~occurrence_of(X169, tptp1)) | (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0)))) & ((~occurrence_of(X169, tptp2)) | (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0)))))))),
% 24.23/24.43 inference(rewrite,[status(thm)],[])).
% 24.23/24.43 tff(33,axiom,(~![X166: $i, X167: $i] : ((((occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167)) & arboreal(X166)) & (~leaf_occ(X166, X167))) => ?[X168: $i, X169: $i] : ((((((occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0)) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) & min_precedes(X168, X169, tptp0)) & leaf_occ(X169, X167)) & (occurrence_of(X169, tptp1) => (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0))))) & (occurrence_of(X169, tptp2) => (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 24.23/24.43 tff(34,plain,
% 24.23/24.43 (~![X166: $i, X167: $i] : ((~(occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167) & arboreal(X166) & (~leaf_occ(X166, X167)))) | ?[X168: $i, X169: $i] : (occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2)) & min_precedes(X168, X169, tptp0) & leaf_occ(X169, X167) & ((~occurrence_of(X169, tptp1)) | (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0)))) & ((~occurrence_of(X169, tptp2)) | (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0))))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[33, 32])).
% 24.23/24.43 tff(35,plain,
% 24.23/24.43 (~![X166: $i, X167: $i] : ((~(occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167) & arboreal(X166) & (~leaf_occ(X166, X167)))) | ?[X168: $i, X169: $i] : (occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2)) & min_precedes(X168, X169, tptp0) & leaf_occ(X169, X167) & ((~occurrence_of(X169, tptp1)) | (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0)))) & ((~occurrence_of(X169, tptp2)) | (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0))))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[34, 31])).
% 24.23/24.43 tff(36,plain,
% 24.23/24.43 (~![X166: $i, X167: $i] : ((~(occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167) & arboreal(X166) & (~leaf_occ(X166, X167)))) | ?[X168: $i, X169: $i] : (occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2)) & min_precedes(X168, X169, tptp0) & leaf_occ(X169, X167) & ((~occurrence_of(X169, tptp1)) | (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0)))) & ((~occurrence_of(X169, tptp2)) | (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0))))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[35, 31])).
% 24.23/24.43 tff(37,plain,
% 24.23/24.43 (~![X166: $i, X167: $i] : ((~(occurrence_of(X167, tptp0) & subactivity_occurrence(X166, X167) & arboreal(X166) & (~leaf_occ(X166, X167)))) | ?[X168: $i, X169: $i] : (occurrence_of(X168, tptp3) & next_subocc(X166, X168, tptp0) & (occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2)) & min_precedes(X168, X169, tptp0) & leaf_occ(X169, X167) & ((~occurrence_of(X169, tptp1)) | (~?[X170: $i] : (occurrence_of(X170, tptp2) & min_precedes(X168, X170, tptp0)))) & ((~occurrence_of(X169, tptp2)) | (~?[X171: $i] : (occurrence_of(X171, tptp1) & min_precedes(X168, X171, tptp0))))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[36, 31])).
% 24.23/24.43 tff(38,plain,
% 24.23/24.43 (occurrence_of(X167!19, tptp0) & subactivity_occurrence(X166!20, X167!19) & arboreal(X166!20) & (~leaf_occ(X166!20, X167!19)) & ![X168: $i, X169: $i] : ((~occurrence_of(X168, tptp3)) | (~next_subocc(X166!20, X168, tptp0)) | (~(occurrence_of(X169, tptp1) | occurrence_of(X169, tptp2))) | (~min_precedes(X168, X169, tptp0)) | (~leaf_occ(X169, X167!19)) | (occurrence_of(X169, tptp1) & occurrence_of(tptp_fun_X170_21(X168), tptp2) & min_precedes(X168, tptp_fun_X170_21(X168), tptp0)) | (occurrence_of(X169, tptp2) & occurrence_of(tptp_fun_X171_22(X168), tptp1) & min_precedes(X168, tptp_fun_X171_22(X168), tptp0)))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[37, 30])).
% 24.23/24.43 tff(39,plain,
% 24.23/24.43 (occurrence_of(X167!19, tptp0)),
% 24.23/24.43 inference(and_elim,[status(thm)],[38])).
% 24.23/24.43 tff(40,plain,
% 24.23/24.43 (^[X0: $i, X1: $i] : refl(((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1))))) <=> ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1))))))),
% 24.23/24.43 inference(bind,[status(th)],[])).
% 24.23/24.43 tff(41,plain,
% 24.23/24.43 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1))))) <=> ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))),
% 24.23/24.43 inference(quant_intro,[status(thm)],[40])).
% 24.23/24.43 tff(42,plain,
% 24.23/24.43 (^[X0: $i, X1: $i] : rewrite(((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1))) <=> ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1))))))),
% 24.23/24.43 inference(bind,[status(th)],[])).
% 24.23/24.43 tff(43,plain,
% 24.23/24.43 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1))) <=> ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))),
% 24.23/24.43 inference(quant_intro,[status(thm)],[42])).
% 24.23/24.43 tff(44,plain,
% 24.23/24.43 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1))) <=> ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 24.23/24.43 inference(rewrite,[status(thm)],[])).
% 24.23/24.43 tff(45,plain,
% 24.23/24.43 (^[X0: $i, X1: $i] : rewrite((occurrence_of(X1, X0) => (activity(X0) & activity_occurrence(X1))) <=> ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1))))),
% 24.23/24.43 inference(bind,[status(th)],[])).
% 24.23/24.43 tff(46,plain,
% 24.23/24.43 (![X0: $i, X1: $i] : (occurrence_of(X1, X0) => (activity(X0) & activity_occurrence(X1))) <=> ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 24.23/24.43 inference(quant_intro,[status(thm)],[45])).
% 24.23/24.43 tff(47,axiom,(![X0: $i, X1: $i] : (occurrence_of(X1, X0) => (activity(X0) & activity_occurrence(X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos')).
% 24.23/24.43 tff(48,plain,
% 24.23/24.43 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[47, 46])).
% 24.23/24.43 tff(49,plain,
% 24.23/24.43 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[48, 44])).
% 24.23/24.43 tff(50,plain,(
% 24.23/24.43 ![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (activity(X0) & activity_occurrence(X1)))),
% 24.23/24.43 inference(skolemize,[status(sab)],[49])).
% 24.23/24.43 tff(51,plain,
% 24.23/24.43 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[50, 43])).
% 24.23/24.43 tff(52,plain,
% 24.23/24.43 (![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[51, 41])).
% 24.23/24.43 tff(53,plain,
% 24.23/24.43 (((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | ((~occurrence_of(X167!19, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X167!19)))))) <=> ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | (~occurrence_of(X167!19, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X167!19)))))),
% 24.23/24.43 inference(rewrite,[status(thm)],[])).
% 24.23/24.43 tff(54,plain,
% 24.23/24.43 ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | ((~occurrence_of(X167!19, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X167!19)))))),
% 24.23/24.43 inference(quant_inst,[status(thm)],[])).
% 24.23/24.43 tff(55,plain,
% 24.23/24.43 ((~![X0: $i, X1: $i] : ((~occurrence_of(X1, X0)) | (~((~activity(X0)) | (~activity_occurrence(X1)))))) | (~occurrence_of(X167!19, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X167!19))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[54, 53])).
% 24.23/24.43 tff(56,plain,
% 24.23/24.43 (~((~activity(tptp0)) | (~activity_occurrence(X167!19)))),
% 24.23/24.43 inference(unit_resolution,[status(thm)],[55, 52, 39])).
% 24.23/24.43 tff(57,plain,
% 24.23/24.43 (((~activity(tptp0)) | (~activity_occurrence(X167!19))) | activity_occurrence(X167!19)),
% 24.23/24.43 inference(tautology,[status(thm)],[])).
% 24.23/24.43 tff(58,plain,
% 24.23/24.43 (activity_occurrence(X167!19)),
% 24.23/24.43 inference(unit_resolution,[status(thm)],[57, 56])).
% 24.23/24.43 tff(59,plain,
% 24.23/24.43 (^[X2: $i] : refl(((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2)))))) <=> ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2)))))))),
% 24.23/24.43 inference(bind,[status(th)],[])).
% 24.23/24.43 tff(60,plain,
% 24.23/24.43 (![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2)))))) <=> ![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))),
% 24.23/24.43 inference(quant_intro,[status(thm)],[59])).
% 24.23/24.43 tff(61,plain,
% 24.23/24.43 (^[X2: $i] : rewrite(((~activity_occurrence(X2)) | (activity(tptp_fun_X3_0(X2)) & occurrence_of(X2, tptp_fun_X3_0(X2)))) <=> ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2)))))))),
% 24.23/24.43 inference(bind,[status(th)],[])).
% 24.23/24.43 tff(62,plain,
% 24.23/24.43 (![X2: $i] : ((~activity_occurrence(X2)) | (activity(tptp_fun_X3_0(X2)) & occurrence_of(X2, tptp_fun_X3_0(X2)))) <=> ![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))),
% 24.23/24.43 inference(quant_intro,[status(thm)],[61])).
% 24.23/24.43 tff(63,plain,
% 24.23/24.43 (![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3))) <=> ![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))),
% 24.23/24.43 inference(rewrite,[status(thm)],[])).
% 24.23/24.43 tff(64,plain,
% 24.23/24.43 (^[X2: $i] : rewrite((activity_occurrence(X2) => ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3))) <=> ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3))))),
% 24.23/24.43 inference(bind,[status(th)],[])).
% 24.23/24.43 tff(65,plain,
% 24.23/24.43 (![X2: $i] : (activity_occurrence(X2) => ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3))) <=> ![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))),
% 24.23/24.43 inference(quant_intro,[status(thm)],[64])).
% 24.23/24.43 tff(66,axiom,(![X2: $i] : (activity_occurrence(X2) => ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_01')).
% 24.23/24.43 tff(67,plain,
% 24.23/24.43 (![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[66, 65])).
% 24.23/24.43 tff(68,plain,
% 24.23/24.43 (![X2: $i] : ((~activity_occurrence(X2)) | ?[X3: $i] : (activity(X3) & occurrence_of(X2, X3)))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[67, 63])).
% 24.23/24.43 tff(69,plain,(
% 24.23/24.43 ![X2: $i] : ((~activity_occurrence(X2)) | (activity(tptp_fun_X3_0(X2)) & occurrence_of(X2, tptp_fun_X3_0(X2))))),
% 24.23/24.43 inference(skolemize,[status(sab)],[68])).
% 24.23/24.43 tff(70,plain,
% 24.23/24.43 (![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[69, 62])).
% 24.23/24.43 tff(71,plain,
% 24.23/24.43 (![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[70, 60])).
% 24.23/24.43 tff(72,plain,
% 24.23/24.43 (((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(X167!19)) | (~((~activity(tptp_fun_X3_0(X167!19))) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))))))) <=> ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(X167!19)) | (~((~activity(tptp_fun_X3_0(X167!19))) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))))))),
% 24.23/24.43 inference(rewrite,[status(thm)],[])).
% 24.23/24.43 tff(73,plain,
% 24.23/24.43 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | ((~activity_occurrence(X167!19)) | (~((~activity(tptp_fun_X3_0(X167!19))) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))))))),
% 24.23/24.43 inference(quant_inst,[status(thm)],[])).
% 24.23/24.43 tff(74,plain,
% 24.23/24.43 ((~![X2: $i] : ((~activity_occurrence(X2)) | (~((~activity(tptp_fun_X3_0(X2))) | (~occurrence_of(X2, tptp_fun_X3_0(X2))))))) | (~activity_occurrence(X167!19)) | (~((~activity(tptp_fun_X3_0(X167!19))) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19)))))),
% 24.23/24.43 inference(modus_ponens,[status(thm)],[73, 72])).
% 24.23/24.43 tff(75,plain,
% 24.23/24.43 (~((~activity(tptp_fun_X3_0(X167!19))) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))))),
% 24.23/24.43 inference(unit_resolution,[status(thm)],[74, 71, 58])).
% 24.23/24.43 tff(76,plain,
% 24.23/24.43 (((~activity(tptp_fun_X3_0(X167!19))) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19)))) | occurrence_of(X167!19, tptp_fun_X3_0(X167!19))),
% 24.23/24.43 inference(tautology,[status(thm)],[])).
% 24.23/24.43 tff(77,plain,
% 24.23/24.43 (occurrence_of(X167!19, tptp_fun_X3_0(X167!19))),
% 24.23/24.43 inference(unit_resolution,[status(thm)],[76, 75])).
% 24.23/24.43 tff(78,plain,
% 24.23/24.43 (^[X4: $i, X5: $i, X6: $i] : refl(((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))) <=> ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))),
% 24.23/24.43 inference(bind,[status(th)],[])).
% 24.23/24.43 tff(79,plain,
% 24.23/24.43 (![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))) <=> ![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))),
% 24.23/24.43 inference(quant_intro,[status(thm)],[78])).
% 24.23/24.43 tff(80,plain,
% 24.23/24.43 (^[X4: $i, X5: $i, X6: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X4, X5) & occurrence_of(X4, X6)) <=> (~((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))), ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) <=> (~(~((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))))), rewrite((~(~((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))) <=> ((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))), ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) <=> ((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))))), (((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)) <=> (((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))) | (X5 = X6)))), rewrite((((~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6))) | (X5 = X6)) <=> ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))), (((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)) <=> ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))))),
% 24.28/24.43 inference(bind,[status(th)],[])).
% 24.28/24.43 tff(81,plain,
% 24.28/24.43 (![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)) <=> ![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))),
% 24.28/24.43 inference(quant_intro,[status(thm)],[80])).
% 24.28/24.43 tff(82,plain,
% 24.28/24.43 (![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)) <=> ![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 24.28/24.43 inference(rewrite,[status(thm)],[])).
% 24.28/24.43 tff(83,plain,
% 24.28/24.43 (^[X4: $i, X5: $i, X6: $i] : rewrite(((occurrence_of(X4, X5) & occurrence_of(X4, X6)) => (X5 = X6)) <=> ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6)))),
% 24.28/24.43 inference(bind,[status(th)],[])).
% 24.28/24.43 tff(84,plain,
% 24.28/24.43 (![X4: $i, X5: $i, X6: $i] : ((occurrence_of(X4, X5) & occurrence_of(X4, X6)) => (X5 = X6)) <=> ![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 24.28/24.43 inference(quant_intro,[status(thm)],[83])).
% 24.28/24.43 tff(85,axiom,(![X4: $i, X5: $i, X6: $i] : ((occurrence_of(X4, X5) & occurrence_of(X4, X6)) => (X5 = X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_02')).
% 24.28/24.43 tff(86,plain,
% 24.28/24.43 (![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[85, 84])).
% 24.28/24.43 tff(87,plain,
% 24.28/24.43 (![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[86, 82])).
% 24.28/24.43 tff(88,plain,(
% 24.28/24.43 ![X4: $i, X5: $i, X6: $i] : ((~(occurrence_of(X4, X5) & occurrence_of(X4, X6))) | (X5 = X6))),
% 24.28/24.43 inference(skolemize,[status(sab)],[87])).
% 24.28/24.43 tff(89,plain,
% 24.28/24.43 (![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[88, 81])).
% 24.28/24.43 tff(90,plain,
% 24.28/24.43 (![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[89, 79])).
% 24.28/24.43 tff(91,plain,
% 24.28/24.43 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (tptp0 = tptp_fun_X3_0(X167!19)))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (tptp0 = tptp_fun_X3_0(X167!19)))),
% 24.28/24.43 inference(rewrite,[status(thm)],[])).
% 24.28/24.43 tff(92,plain,
% 24.28/24.43 (((tptp0 = tptp_fun_X3_0(X167!19)) | (~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19)))) <=> ((~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (tptp0 = tptp_fun_X3_0(X167!19)))),
% 24.28/24.43 inference(rewrite,[status(thm)],[])).
% 24.28/24.43 tff(93,plain,
% 24.28/24.43 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp0 = tptp_fun_X3_0(X167!19)) | (~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (tptp0 = tptp_fun_X3_0(X167!19))))),
% 24.28/24.43 inference(monotonicity,[status(thm)],[92])).
% 24.28/24.43 tff(94,plain,
% 24.28/24.43 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp0 = tptp_fun_X3_0(X167!19)) | (~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (tptp0 = tptp_fun_X3_0(X167!19)))),
% 24.28/24.43 inference(transitivity,[status(thm)],[93, 91])).
% 24.28/24.43 tff(95,plain,
% 24.28/24.43 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp0 = tptp_fun_X3_0(X167!19)) | (~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))))),
% 24.28/24.43 inference(quant_inst,[status(thm)],[])).
% 24.28/24.43 tff(96,plain,
% 24.28/24.43 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(X167!19, tptp0)) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (tptp0 = tptp_fun_X3_0(X167!19))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[95, 94])).
% 24.28/24.43 tff(97,plain,
% 24.28/24.43 (tptp0 = tptp_fun_X3_0(X167!19)),
% 24.28/24.43 inference(unit_resolution,[status(thm)],[96, 90, 39, 77])).
% 24.28/24.43 tff(98,plain,
% 24.28/24.43 (tptp_fun_X3_0(X167!19) = tptp0),
% 24.28/24.43 inference(symmetry,[status(thm)],[97])).
% 24.28/24.43 tff(99,plain,
% 24.28/24.43 (min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X3_0(X167!19)) <=> min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)),
% 24.28/24.43 inference(monotonicity,[status(thm)],[98])).
% 24.28/24.43 tff(100,plain,
% 24.28/24.43 (min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0) <=> min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X3_0(X167!19))),
% 24.28/24.43 inference(symmetry,[status(thm)],[99])).
% 24.28/24.43 tff(101,plain,
% 24.28/24.43 (^[X60: $i, X61: $i, X62: $i] : rewrite((~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))))))),
% 24.28/24.43 inference(bind,[status(th)],[])).
% 24.28/24.43 tff(102,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))),
% 24.28/24.43 inference(quant_intro,[status(thm)],[101])).
% 24.28/24.43 tff(103,plain,
% 24.28/24.43 (^[X60: $i, X61: $i, X62: $i] : refl((~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))))),
% 24.28/24.43 inference(bind,[status(th)],[])).
% 24.28/24.43 tff(104,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 24.28/24.43 inference(quant_intro,[status(thm)],[103])).
% 24.28/24.43 tff(105,plain,
% 24.28/24.43 (^[X60: $i, X61: $i, X62: $i] : rewrite((~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))))),
% 24.28/24.43 inference(bind,[status(th)],[])).
% 24.28/24.43 tff(106,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 24.28/24.43 inference(quant_intro,[status(thm)],[105])).
% 24.28/24.43 tff(107,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 24.28/24.43 inference(transitivity,[status(thm)],[106, 104])).
% 24.28/24.43 tff(108,plain,
% 24.28/24.43 (^[X60: $i, X61: $i, X62: $i] : trans(monotonicity(rewrite(((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) <=> ((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))), trans(monotonicity(rewrite((min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)) <=> (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))), ((next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))) <=> (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))), rewrite((next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))) <=> (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))), ((next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))) <=> (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))), ((((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))) <=> (((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))))), rewrite((((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) <=> (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))), ((((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))) <=> (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))))),
% 24.28/24.43 inference(bind,[status(th)],[])).
% 24.28/24.43 tff(109,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))) <=> ![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 24.28/24.43 inference(quant_intro,[status(thm)],[108])).
% 24.28/24.43 tff(110,plain,
% 24.28/24.43 (^[X60: $i, X61: $i, X62: $i] : rewrite((((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | ((~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))) <=> (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))),
% 24.28/24.43 inference(bind,[status(th)],[])).
% 24.28/24.43 tff(111,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | ((~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))) <=> ![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))),
% 24.28/24.43 inference(quant_intro,[status(thm)],[110])).
% 24.28/24.43 tff(112,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (next_subocc(X60, X61, X62) <=> (min_precedes(X60, X61, X62) & (~?[X63: $i] : (min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) <=> ![X60: $i, X61: $i, X62: $i] : (next_subocc(X60, X61, X62) <=> (min_precedes(X60, X61, X62) & (~?[X63: $i] : (min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62)))))),
% 24.28/24.43 inference(rewrite,[status(thm)],[])).
% 24.28/24.43 tff(113,axiom,(![X60: $i, X61: $i, X62: $i] : (next_subocc(X60, X61, X62) <=> (min_precedes(X60, X61, X62) & (~?[X63: $i] : (min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_22')).
% 24.28/24.43 tff(114,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (next_subocc(X60, X61, X62) <=> (min_precedes(X60, X61, X62) & (~?[X63: $i] : (min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62)))))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[113, 112])).
% 24.28/24.43 tff(115,plain,(
% 24.28/24.43 ![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | ((~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))),
% 24.28/24.43 inference(skolemize,[status(sab)],[114])).
% 24.28/24.43 tff(116,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (((~next_subocc(X60, X61, X62)) | (min_precedes(X60, X61, X62) & ![X63: $i] : (~(min_precedes(X60, X63, X62) & min_precedes(X63, X61, X62))))) & (next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62) & min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[115, 111])).
% 24.28/24.43 tff(117,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[116, 109])).
% 24.28/24.43 tff(118,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (~((~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62)))))))) | (~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62))))))))),
% 24.28/24.43 inference(modus_ponens,[status(thm)],[117, 107])).
% 24.28/24.43 tff(119,plain,
% 24.28/24.43 (![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))),
% 24.28/24.44 inference(modus_ponens,[status(thm)],[118, 102])).
% 24.28/24.44 tff(120,plain,
% 24.28/24.44 ((~![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))) | (~((~(next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X63_7(tptp0, tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(X167!19, X166!20), tptp0)))))) | (~((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0))))))))))),
% 24.28/24.44 inference(quant_inst,[status(thm)],[])).
% 24.28/24.44 tff(121,plain,
% 24.28/24.44 (~((~(next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X63_7(tptp0, tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(X167!19, X166!20), tptp0)))))) | (~((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0)))))))))),
% 24.28/24.44 inference(unit_resolution,[status(thm)],[120, 119])).
% 24.28/24.44 tff(122,plain,
% 24.28/24.44 (((~(next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X63_7(tptp0, tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(X167!19, X166!20), tptp0)))))) | (~((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0))))))))) | ((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0)))))))),
% 24.28/24.44 inference(tautology,[status(thm)],[])).
% 24.28/24.44 tff(123,plain,
% 24.28/24.44 ((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0))))))),
% 24.28/24.44 inference(unit_resolution,[status(thm)],[122, 121])).
% 24.28/24.44 tff(124,plain,
% 24.28/24.44 (~leaf_occ(X166!20, X167!19)),
% 24.28/24.44 inference(and_elim,[status(thm)],[38])).
% 24.28/24.44 tff(125,plain,
% 24.28/24.44 (arboreal(X166!20)),
% 24.28/24.44 inference(and_elim,[status(thm)],[38])).
% 24.28/24.44 tff(126,plain,
% 24.28/24.44 (subactivity_occurrence(X166!20, X167!19)),
% 24.28/24.44 inference(and_elim,[status(thm)],[38])).
% 24.28/24.44 tff(127,plain,
% 24.28/24.44 (^[X161: $i, X162: $i] : refl(((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162))))) <=> ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162))))))),
% 24.28/24.44 inference(bind,[status(th)],[])).
% 24.28/24.44 tff(128,plain,
% 24.28/24.44 (![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162))))) <=> ![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))),
% 24.28/24.44 inference(quant_intro,[status(thm)],[127])).
% 24.28/24.44 tff(129,plain,
% 24.28/24.44 (^[X161: $i, X162: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162))) <=> (~((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0))))), ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) <=> (~(~((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0))))))), rewrite((~(~((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0))))) <=> ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)))), ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) <=> ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0))))), rewrite((occurrence_of(tptp_fun_X163_18(X162, X161), tptp3) & next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0) & occurrence_of(tptp_fun_X164_17(X162, X161), tptp4) & next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0) & (occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2)) & next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0) & leaf_occ(tptp_fun_X165_16(X162, X161), X162)) <=> (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162))))), (((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | (occurrence_of(tptp_fun_X163_18(X162, X161), tptp3) & next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0) & occurrence_of(tptp_fun_X164_17(X162, X161), tptp4) & next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0) & (occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2)) & next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0) & leaf_occ(tptp_fun_X165_16(X162, X161), X162))) <=> (((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0))) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162))))))), rewrite((((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0))) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162))))) <=> ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))), (((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | (occurrence_of(tptp_fun_X163_18(X162, X161), tptp3) & next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0) & occurrence_of(tptp_fun_X164_17(X162, X161), tptp4) & next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0) & (occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2)) & next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0) & leaf_occ(tptp_fun_X165_16(X162, X161), X162))) <=> ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))))),
% 24.28/24.44 inference(bind,[status(th)],[])).
% 24.28/24.44 tff(130,plain,
% 24.28/24.44 (![X161: $i, X162: $i] : ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | (occurrence_of(tptp_fun_X163_18(X162, X161), tptp3) & next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0) & occurrence_of(tptp_fun_X164_17(X162, X161), tptp4) & next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0) & (occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2)) & next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0) & leaf_occ(tptp_fun_X165_16(X162, X161), X162))) <=> ![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))),
% 24.28/24.44 inference(quant_intro,[status(thm)],[129])).
% 24.28/24.44 tff(131,plain,
% 24.28/24.44 (![X161: $i, X162: $i] : ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162))) <=> ![X161: $i, X162: $i] : ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162)))),
% 24.28/24.44 inference(rewrite,[status(thm)],[])).
% 24.28/24.44 tff(132,plain,
% 24.28/24.44 (^[X161: $i, X162: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162)) & arboreal(X161)) <=> (occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161))), ((((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162)) & arboreal(X161)) & (~leaf_occ(X161, X162))) <=> ((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161)) & (~leaf_occ(X161, X162))))), rewrite(((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161)) & (~leaf_occ(X161, X162))) <=> (occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))), ((((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162)) & arboreal(X161)) & (~leaf_occ(X161, X162))) <=> (occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162))))), quant_intro(proof_bind(^[X163: $i, X164: $i, X165: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4))), ((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) <=> ((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)))), rewrite(((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0))), ((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0)))), (((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) <=> ((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))))), rewrite(((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)))), (((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))))), ((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) <=> ((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)))), rewrite(((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0))), ((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0)))), (((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162)) <=> ((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162)))), rewrite(((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162)) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162))), (((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162)) <=> (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162))))), (?[X163: $i, X164: $i, X165: $i] : ((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162)) <=> ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162)))), (((((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162)) & arboreal(X161)) & (~leaf_occ(X161, X162))) => ?[X163: $i, X164: $i, X165: $i] : ((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162))) <=> ((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162))) => ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162))))), rewrite(((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162))) => ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162))) <=> ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162)))), (((((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162)) & arboreal(X161)) & (~leaf_occ(X161, X162))) => ?[X163: $i, X164: $i, X165: $i] : ((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162))) <=> ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162)))))),
% 24.28/24.44 inference(bind,[status(th)],[])).
% 24.28/24.44 tff(133,plain,
% 24.28/24.44 (![X161: $i, X162: $i] : ((((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162)) & arboreal(X161)) & (~leaf_occ(X161, X162))) => ?[X163: $i, X164: $i, X165: $i] : ((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162))) <=> ![X161: $i, X162: $i] : ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162)))),
% 24.28/24.44 inference(quant_intro,[status(thm)],[132])).
% 24.28/24.44 tff(134,axiom,(![X161: $i, X162: $i] : ((((occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162)) & arboreal(X161)) & (~leaf_occ(X161, X162))) => ?[X163: $i, X164: $i, X165: $i] : ((((((occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0)) & occurrence_of(X164, tptp4)) & next_subocc(X163, X164, tptp0)) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2))) & next_subocc(X164, X165, tptp0)) & leaf_occ(X165, X162)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_49')).
% 24.28/24.44 tff(135,plain,
% 24.28/24.44 (![X161: $i, X162: $i] : ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162)))),
% 24.28/24.44 inference(modus_ponens,[status(thm)],[134, 133])).
% 24.28/24.44 tff(136,plain,
% 24.28/24.44 (![X161: $i, X162: $i] : ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | ?[X163: $i, X164: $i, X165: $i] : (occurrence_of(X163, tptp3) & next_subocc(X161, X163, tptp0) & occurrence_of(X164, tptp4) & next_subocc(X163, X164, tptp0) & (occurrence_of(X165, tptp1) | occurrence_of(X165, tptp2)) & next_subocc(X164, X165, tptp0) & leaf_occ(X165, X162)))),
% 24.28/24.44 inference(modus_ponens,[status(thm)],[135, 131])).
% 24.28/24.44 tff(137,plain,(
% 24.28/24.44 ![X161: $i, X162: $i] : ((~(occurrence_of(X162, tptp0) & subactivity_occurrence(X161, X162) & arboreal(X161) & (~leaf_occ(X161, X162)))) | (occurrence_of(tptp_fun_X163_18(X162, X161), tptp3) & next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0) & occurrence_of(tptp_fun_X164_17(X162, X161), tptp4) & next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0) & (occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2)) & next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0) & leaf_occ(tptp_fun_X165_16(X162, X161), X162)))),
% 24.28/24.44 inference(skolemize,[status(sab)],[136])).
% 24.28/24.44 tff(138,plain,
% 24.28/24.44 (![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))),
% 24.28/24.44 inference(modus_ponens,[status(thm)],[137, 130])).
% 24.28/24.44 tff(139,plain,
% 24.28/24.44 (![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))),
% 24.28/24.44 inference(modus_ponens,[status(thm)],[138, 128])).
% 24.28/24.44 tff(140,plain,
% 24.28/24.44 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | (leaf_occ(X166!20, X167!19) | (~occurrence_of(X167!19, tptp0)) | (~subactivity_occurrence(X166!20, X167!19)) | (~arboreal(X166!20)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | leaf_occ(X166!20, X167!19) | (~occurrence_of(X167!19, tptp0)) | (~subactivity_occurrence(X166!20, X167!19)) | (~arboreal(X166!20)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))),
% 24.28/24.44 inference(rewrite,[status(thm)],[])).
% 24.28/24.44 tff(141,plain,
% 24.28/24.44 (((~subactivity_occurrence(X166!20, X167!19)) | leaf_occ(X166!20, X167!19) | (~arboreal(X166!20)) | (~occurrence_of(X167!19, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19))))) <=> (leaf_occ(X166!20, X167!19) | (~occurrence_of(X167!19, tptp0)) | (~subactivity_occurrence(X166!20, X167!19)) | (~arboreal(X166!20)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))),
% 24.29/24.44 inference(rewrite,[status(thm)],[])).
% 24.29/24.44 tff(142,plain,
% 24.29/24.44 ((~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))) <=> (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19))))),
% 24.29/24.44 inference(rewrite,[status(thm)],[])).
% 24.29/24.44 tff(143,plain,
% 24.29/24.44 (((~subactivity_occurrence(X166!20, X167!19)) | leaf_occ(X166!20, X167!19) | (~arboreal(X166!20)) | (~occurrence_of(X167!19, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19))))) <=> ((~subactivity_occurrence(X166!20, X167!19)) | leaf_occ(X166!20, X167!19) | (~arboreal(X166!20)) | (~occurrence_of(X167!19, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))),
% 24.29/24.44 inference(monotonicity,[status(thm)],[142])).
% 24.29/24.44 tff(144,plain,
% 24.29/24.44 (((~subactivity_occurrence(X166!20, X167!19)) | leaf_occ(X166!20, X167!19) | (~arboreal(X166!20)) | (~occurrence_of(X167!19, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19))))) <=> (leaf_occ(X166!20, X167!19) | (~occurrence_of(X167!19, tptp0)) | (~subactivity_occurrence(X166!20, X167!19)) | (~arboreal(X166!20)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))),
% 24.29/24.44 inference(transitivity,[status(thm)],[143, 141])).
% 24.29/24.44 tff(145,plain,
% 24.29/24.44 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(X166!20, X167!19)) | leaf_occ(X166!20, X167!19) | (~arboreal(X166!20)) | (~occurrence_of(X167!19, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | (leaf_occ(X166!20, X167!19) | (~occurrence_of(X167!19, tptp0)) | (~subactivity_occurrence(X166!20, X167!19)) | (~arboreal(X166!20)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19))))))),
% 24.29/24.44 inference(monotonicity,[status(thm)],[144])).
% 24.29/24.44 tff(146,plain,
% 24.29/24.44 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(X166!20, X167!19)) | leaf_occ(X166!20, X167!19) | (~arboreal(X166!20)) | (~occurrence_of(X167!19, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | leaf_occ(X166!20, X167!19) | (~occurrence_of(X167!19, tptp0)) | (~subactivity_occurrence(X166!20, X167!19)) | (~arboreal(X166!20)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))),
% 24.29/24.45 inference(transitivity,[status(thm)],[145, 140])).
% 24.29/24.45 tff(147,plain,
% 24.29/24.45 ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(X166!20, X167!19)) | leaf_occ(X166!20, X167!19) | (~arboreal(X166!20)) | (~occurrence_of(X167!19, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))))),
% 24.29/24.45 inference(quant_inst,[status(thm)],[])).
% 24.29/24.45 tff(148,plain,
% 24.29/24.45 ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | leaf_occ(X166!20, X167!19) | (~occurrence_of(X167!19, tptp0)) | (~subactivity_occurrence(X166!20, X167!19)) | (~arboreal(X166!20)) | (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19))))),
% 24.29/24.45 inference(modus_ponens,[status(thm)],[147, 146])).
% 24.29/24.45 tff(149,plain,
% 24.29/24.45 (~((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19)))),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[148, 139, 39, 126, 125, 124])).
% 24.29/24.45 tff(150,plain,
% 24.29/24.45 (((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19))) | next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)),
% 24.29/24.45 inference(tautology,[status(thm)],[])).
% 24.29/24.45 tff(151,plain,
% 24.29/24.45 (next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[150, 149])).
% 24.29/24.45 tff(152,plain,
% 24.29/24.45 ((~((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0)))))))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0))))))),
% 24.29/24.45 inference(tautology,[status(thm)],[])).
% 24.29/24.45 tff(153,plain,
% 24.29/24.45 ((~((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0)))))))) | (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0))))))),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[152, 151])).
% 24.29/24.45 tff(154,plain,
% 24.29/24.45 (~((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0)))))),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[153, 123])).
% 24.29/24.45 tff(155,plain,
% 24.29/24.45 (((~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X63, tptp0))))) | min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)),
% 24.29/24.45 inference(tautology,[status(thm)],[])).
% 24.29/24.45 tff(156,plain,
% 24.29/24.45 (min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[155, 154])).
% 24.29/24.45 tff(157,plain,
% 24.29/24.45 (min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X3_0(X167!19))),
% 24.29/24.45 inference(modus_ponens,[status(thm)],[156, 100])).
% 24.29/24.45 tff(158,assumption,(![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))), introduced(assumption)).
% 24.29/24.45 tff(159,plain,
% 24.29/24.45 ((~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))) | (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp_fun_X3_0(X167!19)))),
% 24.29/24.45 inference(quant_inst,[status(thm)],[])).
% 24.29/24.45 tff(160,plain,
% 24.29/24.45 ($false),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[159, 158, 157])).
% 24.29/24.45 tff(161,plain,(~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))), inference(lemma,lemma(discharge,[]))).
% 24.29/24.45 tff(162,plain,
% 24.29/24.45 (((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19))))) | ![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))),
% 24.29/24.45 inference(tautology,[status(thm)],[])).
% 24.29/24.45 tff(163,plain,
% 24.29/24.45 ((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19))))),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[162, 161])).
% 24.29/24.45 tff(164,plain,
% 24.29/24.45 (^[X56: $i, X57: $i] : refl((~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))))) <=> (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))))))),
% 24.29/24.45 inference(bind,[status(th)],[])).
% 24.29/24.45 tff(165,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))))) <=> ![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))),
% 24.29/24.45 inference(quant_intro,[status(thm)],[164])).
% 24.29/24.45 tff(166,plain,
% 24.29/24.45 (^[X56: $i, X57: $i] : rewrite((~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))))) <=> (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))))))),
% 24.29/24.45 inference(bind,[status(th)],[])).
% 24.29/24.45 tff(167,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))))) <=> ![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))),
% 24.29/24.45 inference(quant_intro,[status(thm)],[166])).
% 24.29/24.45 tff(168,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))))) <=> ![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))),
% 24.29/24.45 inference(transitivity,[status(thm)],[167, 165])).
% 24.29/24.45 tff(169,plain,
% 24.29/24.45 (^[X56: $i, X57: $i] : trans(monotonicity(rewrite(((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) <=> ((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))), trans(monotonicity(rewrite(((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) <=> (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))), ((leaf(X56, X57) | ((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57)) <=> (leaf(X56, X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57)))), rewrite((leaf(X56, X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57)) <=> (leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))), ((leaf(X56, X57) | ((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57)) <=> (leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))), ((((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | ((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57))) <=> (((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57)))))) & (leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))))), rewrite((((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57)))))) & (leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57))))))) <=> (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))), ((((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | ((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57))) <=> (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))))),
% 24.29/24.45 inference(bind,[status(th)],[])).
% 24.29/24.45 tff(170,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | ((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57))) <=> ![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))),
% 24.29/24.45 inference(quant_intro,[status(thm)],[169])).
% 24.29/24.45 tff(171,plain,
% 24.29/24.45 (^[X56: $i, X57: $i] : rewrite((((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | (((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57)))) <=> (((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | ((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57))))),
% 24.29/24.45 inference(bind,[status(th)],[])).
% 24.29/24.45 tff(172,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | (((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57)))) <=> ![X56: $i, X57: $i] : (((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | ((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57)))),
% 24.29/24.45 inference(quant_intro,[status(thm)],[171])).
% 24.29/24.45 tff(173,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (leaf(X56, X57) <=> ((root(X56, X57) | ?[X58: $i] : min_precedes(X58, X56, X57)) & (~?[X59: $i] : min_precedes(X56, X59, X57)))) <=> ![X56: $i, X57: $i] : (leaf(X56, X57) <=> ((root(X56, X57) | ?[X58: $i] : min_precedes(X58, X56, X57)) & (~?[X59: $i] : min_precedes(X56, X59, X57))))),
% 24.29/24.45 inference(rewrite,[status(thm)],[])).
% 24.29/24.45 tff(174,axiom,(![X56: $i, X57: $i] : (leaf(X56, X57) <=> ((root(X56, X57) | ?[X58: $i] : min_precedes(X58, X56, X57)) & (~?[X59: $i] : min_precedes(X56, X59, X57))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_21')).
% 24.29/24.45 tff(175,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (leaf(X56, X57) <=> ((root(X56, X57) | ?[X58: $i] : min_precedes(X58, X56, X57)) & (~?[X59: $i] : min_precedes(X56, X59, X57))))),
% 24.29/24.45 inference(modus_ponens,[status(thm)],[174, 173])).
% 24.29/24.45 tff(176,plain,(
% 24.29/24.45 ![X56: $i, X57: $i] : (((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | (((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57))))),
% 24.29/24.45 inference(skolemize,[status(sab)],[175])).
% 24.29/24.45 tff(177,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (((~leaf(X56, X57)) | ((root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57)) & ![X59: $i] : (~min_precedes(X56, X59, X57)))) & (leaf(X56, X57) | ((~root(X56, X57)) & ![X58: $i] : (~min_precedes(X58, X56, X57))) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57)))),
% 24.29/24.45 inference(modus_ponens,[status(thm)],[176, 172])).
% 24.29/24.45 tff(178,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))),
% 24.29/24.45 inference(modus_ponens,[status(thm)],[177, 170])).
% 24.29/24.45 tff(179,plain,
% 24.29/24.45 (![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))),
% 24.29/24.45 inference(modus_ponens,[status(thm)],[178, 168])).
% 24.29/24.45 tff(180,plain,
% 24.29/24.45 (((~![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))) | (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~((~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))))))))) <=> ((~![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))) | (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~((~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))))))))),
% 24.29/24.45 inference(rewrite,[status(thm)],[])).
% 24.29/24.45 tff(181,plain,
% 24.29/24.45 ((~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | (~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))))))))) <=> (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~((~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))))))))),
% 24.29/24.45 inference(rewrite,[status(thm)],[])).
% 24.29/24.45 tff(182,plain,
% 24.29/24.45 (((~![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))) | (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | (~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))))))))))) <=> ((~![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))) | (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~((~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))))))))),
% 24.29/24.45 inference(monotonicity,[status(thm)],[181])).
% 24.29/24.45 tff(183,plain,
% 24.29/24.45 (((~![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))) | (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | (~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))))))))))) <=> ((~![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))) | (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~((~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))))))))),
% 24.29/24.45 inference(transitivity,[status(thm)],[182, 180])).
% 24.29/24.45 tff(184,plain,
% 24.29/24.45 ((~![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))) | (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | (~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))))))))))),
% 24.29/24.45 inference(quant_inst,[status(thm)],[])).
% 24.29/24.45 tff(185,plain,
% 24.29/24.45 ((~![X56: $i, X57: $i] : (~((~((~leaf(X56, X57)) | (~((~(root(X56, X57) | min_precedes(tptp_fun_X58_5(X57, X56), X56, X57))) | (~![X59: $i] : (~min_precedes(X56, X59, X57))))))) | (~(leaf(X56, X57) | min_precedes(X56, tptp_fun_X59_6(X57, X56), X57) | (~(root(X56, X57) | (~![X58: $i] : (~min_precedes(X58, X56, X57)))))))))) | (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~((~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))))))))),
% 24.29/24.45 inference(modus_ponens,[status(thm)],[184, 183])).
% 24.29/24.45 tff(186,plain,
% 24.29/24.45 (~((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~((~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))))))),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[185, 179])).
% 24.29/24.45 tff(187,plain,
% 24.29/24.45 (((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~(min_precedes(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X59_6(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | (~((~![X58: $i] : (~min_precedes(X58, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))))))) | ((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))),
% 24.29/24.45 inference(tautology,[status(thm)],[])).
% 24.29/24.45 tff(188,plain,
% 24.29/24.45 ((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19))))))),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[187, 186])).
% 24.29/24.45 tff(189,plain,
% 24.29/24.45 ((~((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19)))))))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19))))))),
% 24.29/24.45 inference(tautology,[status(thm)],[])).
% 24.29/24.45 tff(190,plain,
% 24.29/24.45 ((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~(root(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) | min_precedes(tptp_fun_X58_5(tptp_fun_X3_0(X167!19), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)))) | (~![X59: $i] : (~min_precedes(tptp_fun_X164_17(X167!19, X166!20), X59, tptp_fun_X3_0(X167!19))))))),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[189, 188])).
% 24.29/24.45 tff(191,plain,
% 24.29/24.45 (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))),
% 24.29/24.45 inference(unit_resolution,[status(thm)],[190, 163])).
% 24.29/24.45 tff(192,assumption,(~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))), introduced(assumption)).
% 24.29/24.46 tff(193,plain,
% 24.29/24.46 (((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))),
% 24.29/24.46 inference(tautology,[status(thm)],[])).
% 24.29/24.46 tff(194,plain,
% 24.29/24.46 (occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[193, 192])).
% 24.29/24.46 tff(195,plain,
% 24.29/24.46 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) <=> min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.29/24.46 inference(monotonicity,[status(thm)],[98])).
% 24.29/24.46 tff(196,plain,
% 24.29/24.46 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0) <=> min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))),
% 24.29/24.46 inference(symmetry,[status(thm)],[195])).
% 24.29/24.46 tff(197,plain,
% 24.29/24.46 ((~![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))) | (~((~(next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X63_7(tptp0, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)))))) | (~((~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0))))))))))),
% 24.29/24.46 inference(quant_inst,[status(thm)],[])).
% 24.29/24.46 tff(198,plain,
% 24.29/24.46 (~((~(next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X63_7(tptp0, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)))))) | (~((~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0)))))))))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[197, 119])).
% 24.29/24.46 tff(199,plain,
% 24.29/24.46 (((~(next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X63_7(tptp0, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X63_7(tptp0, tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)))))) | (~((~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0))))))))) | ((~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0)))))))),
% 24.29/24.46 inference(tautology,[status(thm)],[])).
% 24.29/24.46 tff(200,plain,
% 24.29/24.46 ((~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0))))))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[199, 198])).
% 24.29/24.46 tff(201,plain,
% 24.29/24.46 (((~occurrence_of(tptp_fun_X163_18(X167!19, X166!20), tptp3)) | (~next_subocc(X166!20, tptp_fun_X163_18(X167!19, X166!20), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X167!19, X166!20), tptp4)) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp1) | occurrence_of(tptp_fun_X165_16(X167!19, X166!20), tptp2))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X167!19, X166!20), X167!19))) | next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.29/24.46 inference(tautology,[status(thm)],[])).
% 24.29/24.46 tff(202,plain,
% 24.29/24.46 (next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[201, 149])).
% 24.29/24.46 tff(203,plain,
% 24.29/24.46 ((~((~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0)))))))) | (~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0))))))),
% 24.29/24.46 inference(tautology,[status(thm)],[])).
% 24.29/24.46 tff(204,plain,
% 24.29/24.46 ((~((~next_subocc(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0)))))))) | (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0))))))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[203, 202])).
% 24.29/24.46 tff(205,plain,
% 24.29/24.46 (~((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0)))))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[204, 200])).
% 24.29/24.46 tff(206,plain,
% 24.29/24.46 (((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), X63, tptp0))))) | min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.29/24.46 inference(tautology,[status(thm)],[])).
% 24.29/24.46 tff(207,plain,
% 24.29/24.46 (min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[206, 205])).
% 24.29/24.46 tff(208,plain,
% 24.29/24.46 (^[X31: $i, X32: $i, X33: $i] : refl(((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))))) <=> ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))))))),
% 24.29/24.46 inference(bind,[status(th)],[])).
% 24.29/24.46 tff(209,plain,
% 24.29/24.46 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))))) <=> ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))),
% 24.29/24.46 inference(quant_intro,[status(thm)],[208])).
% 24.29/24.46 tff(210,plain,
% 24.29/24.46 (^[X31: $i, X32: $i, X33: $i] : rewrite(((~min_precedes(X31, X32, X33)) | (root(tptp_fun_X34_4(X33, X32), X33) & min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))) <=> ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))))))),
% 24.29/24.46 inference(bind,[status(th)],[])).
% 24.29/24.46 tff(211,plain,
% 24.29/24.46 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (root(tptp_fun_X34_4(X33, X32), X33) & min_precedes(tptp_fun_X34_4(X33, X32), X32, X33))) <=> ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))),
% 24.29/24.46 inference(quant_intro,[status(thm)],[210])).
% 24.29/24.46 tff(212,plain,
% 24.29/24.46 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33))) <=> ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))),
% 24.29/24.46 inference(rewrite,[status(thm)],[])).
% 24.29/24.46 tff(213,plain,
% 24.29/24.46 (^[X31: $i, X32: $i, X33: $i] : rewrite((min_precedes(X31, X32, X33) => ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33))) <=> ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33))))),
% 24.29/24.46 inference(bind,[status(th)],[])).
% 24.29/24.46 tff(214,plain,
% 24.29/24.46 (![X31: $i, X32: $i, X33: $i] : (min_precedes(X31, X32, X33) => ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33))) <=> ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))),
% 24.29/24.46 inference(quant_intro,[status(thm)],[213])).
% 24.29/24.46 tff(215,axiom,(![X31: $i, X32: $i, X33: $i] : (min_precedes(X31, X32, X33) => ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_13')).
% 24.29/24.46 tff(216,plain,
% 24.29/24.46 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[215, 214])).
% 24.29/24.46 tff(217,plain,
% 24.29/24.46 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | ?[X34: $i] : (root(X34, X33) & min_precedes(X34, X32, X33)))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[216, 212])).
% 24.29/24.46 tff(218,plain,(
% 24.29/24.46 ![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (root(tptp_fun_X34_4(X33, X32), X33) & min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))),
% 24.29/24.46 inference(skolemize,[status(sab)],[217])).
% 24.29/24.46 tff(219,plain,
% 24.29/24.46 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[218, 211])).
% 24.29/24.46 tff(220,plain,
% 24.29/24.46 (![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[219, 209])).
% 24.29/24.46 tff(221,plain,
% 24.29/24.46 (((~![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))) | ((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)))))) <=> ((~![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)))))),
% 24.29/24.46 inference(rewrite,[status(thm)],[])).
% 24.29/24.46 tff(222,plain,
% 24.29/24.46 ((~![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))) | ((~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)))))),
% 24.29/24.46 inference(quant_inst,[status(thm)],[])).
% 24.29/24.46 tff(223,plain,
% 24.29/24.46 ((~![X31: $i, X32: $i, X33: $i] : ((~min_precedes(X31, X32, X33)) | (~((~root(tptp_fun_X34_4(X33, X32), X33)) | (~min_precedes(tptp_fun_X34_4(X33, X32), X32, X33)))))) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0))))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[222, 221])).
% 24.29/24.46 tff(224,plain,
% 24.29/24.46 (~((~root(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[223, 220, 207])).
% 24.29/24.46 tff(225,plain,
% 24.29/24.46 (((~root(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0))) | min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.29/24.46 inference(tautology,[status(thm)],[])).
% 24.29/24.46 tff(226,plain,
% 24.29/24.46 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[225, 224])).
% 24.29/24.46 tff(227,plain,
% 24.29/24.46 (min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[226, 196])).
% 24.29/24.46 tff(228,plain,
% 24.29/24.46 (^[X69: $i, X70: $i, X71: $i] : refl(((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69))))) <=> ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69))))))),
% 24.29/24.46 inference(bind,[status(th)],[])).
% 24.29/24.46 tff(229,plain,
% 24.29/24.46 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69))))) <=> ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)))))),
% 24.29/24.46 inference(quant_intro,[status(thm)],[228])).
% 24.29/24.46 tff(230,plain,
% 24.29/24.46 (^[X69: $i, X70: $i, X71: $i] : rewrite(((~min_precedes(X70, X71, X69)) | (occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69) & subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69)) & subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69)))) <=> ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69))))))),
% 24.29/24.46 inference(bind,[status(th)],[])).
% 24.29/24.46 tff(231,plain,
% 24.29/24.46 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69) & subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69)) & subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69)))) <=> ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)))))),
% 24.29/24.46 inference(quant_intro,[status(thm)],[230])).
% 24.29/24.46 tff(232,plain,
% 24.29/24.46 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72))) <=> ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))),
% 24.29/24.46 inference(rewrite,[status(thm)],[])).
% 24.29/24.46 tff(233,plain,
% 24.29/24.46 (^[X69: $i, X70: $i, X71: $i] : trans(monotonicity(quant_intro(proof_bind(^[X72: $i] : rewrite(((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72)) <=> (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))), (?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72)) <=> ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))), ((min_precedes(X70, X71, X69) => ?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72))) <=> (min_precedes(X70, X71, X69) => ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72))))), rewrite((min_precedes(X70, X71, X69) => ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72))) <=> ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))), ((min_precedes(X70, X71, X69) => ?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72))) <=> ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))))),
% 24.29/24.46 inference(bind,[status(th)],[])).
% 24.29/24.46 tff(234,plain,
% 24.29/24.46 (![X69: $i, X70: $i, X71: $i] : (min_precedes(X70, X71, X69) => ?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72))) <=> ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))),
% 24.29/24.46 inference(quant_intro,[status(thm)],[233])).
% 24.29/24.46 tff(235,axiom,(![X69: $i, X70: $i, X71: $i] : (min_precedes(X70, X71, X69) => ?[X72: $i] : ((occurrence_of(X72, X69) & subactivity_occurrence(X70, X72)) & subactivity_occurrence(X71, X72)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_25')).
% 24.29/24.46 tff(236,plain,
% 24.29/24.46 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[235, 234])).
% 24.29/24.46 tff(237,plain,
% 24.29/24.46 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | ?[X72: $i] : (occurrence_of(X72, X69) & subactivity_occurrence(X70, X72) & subactivity_occurrence(X71, X72)))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[236, 232])).
% 24.29/24.46 tff(238,plain,(
% 24.29/24.46 ![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69) & subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69)) & subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))))),
% 24.29/24.46 inference(skolemize,[status(sab)],[237])).
% 24.29/24.46 tff(239,plain,
% 24.29/24.46 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)))))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[238, 231])).
% 24.29/24.46 tff(240,plain,
% 24.29/24.46 (![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)))))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[239, 229])).
% 24.29/24.46 tff(241,plain,
% 24.29/24.46 (((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)))))) | ((~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))))) <=> ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))))),
% 24.29/24.46 inference(rewrite,[status(thm)],[])).
% 24.29/24.46 tff(242,plain,
% 24.29/24.46 ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)))))) | ((~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))))),
% 24.29/24.46 inference(quant_inst,[status(thm)],[])).
% 24.29/24.46 tff(243,plain,
% 24.29/24.46 ((~![X69: $i, X70: $i, X71: $i] : ((~min_precedes(X70, X71, X69)) | (~((~subactivity_occurrence(X70, tptp_fun_X72_9(X71, X70, X69))) | (~subactivity_occurrence(X71, tptp_fun_X72_9(X71, X70, X69))) | (~occurrence_of(tptp_fun_X72_9(X71, X70, X69), X69)))))) | (~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))),
% 24.29/24.46 inference(modus_ponens,[status(thm)],[242, 241])).
% 24.29/24.46 tff(244,plain,
% 24.29/24.46 ((~min_precedes(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) | (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[243, 240])).
% 24.29/24.46 tff(245,plain,
% 24.29/24.46 (~((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[244, 227])).
% 24.29/24.46 tff(246,plain,
% 24.29/24.46 (((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.29/24.46 inference(tautology,[status(thm)],[])).
% 24.29/24.46 tff(247,plain,
% 24.29/24.46 (occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.29/24.46 inference(unit_resolution,[status(thm)],[246, 245])).
% 24.29/24.46 tff(248,plain,
% 24.29/24.46 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.46 inference(rewrite,[status(thm)],[])).
% 24.29/24.46 tff(249,plain,
% 24.29/24.46 (((tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) <=> ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.46 inference(rewrite,[status(thm)],[])).
% 24.29/24.46 tff(250,plain,
% 24.29/24.46 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))),
% 24.29/24.46 inference(monotonicity,[status(thm)],[249])).
% 24.29/24.46 tff(251,plain,
% 24.29/24.46 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.46 inference(transitivity,[status(thm)],[250, 248])).
% 24.29/24.46 tff(252,plain,
% 24.29/24.46 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))),
% 24.29/24.47 inference(quant_inst,[status(thm)],[])).
% 24.29/24.47 tff(253,plain,
% 24.29/24.47 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))),
% 24.29/24.47 inference(modus_ponens,[status(thm)],[252, 251])).
% 24.29/24.47 tff(254,plain,
% 24.29/24.47 (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))),
% 24.29/24.47 inference(unit_resolution,[status(thm)],[253, 90, 247, 194])).
% 24.29/24.47 tff(255,plain,
% 24.29/24.47 (tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X3_0(X167!19)),
% 24.29/24.47 inference(symmetry,[status(thm)],[254])).
% 24.29/24.47 tff(256,plain,
% 24.29/24.47 (leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) <=> leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))),
% 24.29/24.47 inference(monotonicity,[status(thm)],[255])).
% 24.29/24.47 tff(257,plain,
% 24.29/24.47 (leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19)) <=> leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))),
% 24.29/24.47 inference(symmetry,[status(thm)],[256])).
% 24.29/24.47 tff(258,plain,
% 24.29/24.47 ((~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))) <=> (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.47 inference(monotonicity,[status(thm)],[257])).
% 24.29/24.47 tff(259,assumption,(~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))), introduced(assumption)).
% 24.29/24.47 tff(260,plain,
% 24.29/24.47 (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))),
% 24.29/24.47 inference(modus_ponens,[status(thm)],[259, 258])).
% 24.29/24.47 tff(261,plain,
% 24.29/24.47 (((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))),
% 24.29/24.47 inference(tautology,[status(thm)],[])).
% 24.29/24.47 tff(262,plain,
% 24.29/24.47 (leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))),
% 24.29/24.47 inference(unit_resolution,[status(thm)],[261, 192])).
% 24.29/24.47 tff(263,plain,
% 24.29/24.47 ($false),
% 24.29/24.47 inference(unit_resolution,[status(thm)],[262, 260])).
% 24.29/24.47 tff(264,plain,(((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X3_0(X167!19))), inference(lemma,lemma(discharge,[]))).
% 24.29/24.47 tff(265,plain,
% 24.29/24.47 ((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.47 inference(unit_resolution,[status(thm)],[264, 191])).
% 24.29/24.47 tff(266,plain,
% 24.29/24.47 (((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)))))))) <=> ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104))))))))),
% 24.29/24.47 inference(rewrite,[status(thm)],[])).
% 24.29/24.47 tff(267,plain,
% 24.29/24.47 ((~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), X104))))))) <=> (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)))))))),
% 24.29/24.47 inference(rewrite,[status(thm)],[])).
% 24.29/24.47 tff(268,plain,
% 24.29/24.47 (((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)))))))) <=> ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104))))))))),
% 24.29/24.47 inference(monotonicity,[status(thm)],[267])).
% 24.29/24.47 tff(269,plain,
% 24.29/24.47 (((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)))))))) <=> ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104))))))))),
% 24.29/24.47 inference(transitivity,[status(thm)],[268, 266])).
% 24.29/24.47 tff(270,plain,
% 24.29/24.47 ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)))))))),
% 24.29/24.47 inference(quant_inst,[status(thm)],[])).
% 24.29/24.47 tff(271,plain,
% 24.29/24.47 ((~![X102: $i, X103: $i] : (~((~((~leaf_occ(X102, X103)) | (~((~subactivity_occurrence(X102, X103)) | (~occurrence_of(X103, tptp_fun_X104_14(X103, X102))) | (~leaf(X102, tptp_fun_X104_14(X103, X102))))))) | (~(leaf_occ(X102, X103) | ![X104: $i] : ((~occurrence_of(X103, X104)) | (~subactivity_occurrence(X102, X103)) | (~leaf(X102, X104)))))))) | (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)))))))),
% 24.29/24.47 inference(modus_ponens,[status(thm)],[270, 269])).
% 24.29/24.47 tff(272,plain,
% 24.29/24.47 (~((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104))))))),
% 24.29/24.47 inference(unit_resolution,[status(thm)],[271, 16])).
% 24.29/24.47 tff(273,plain,
% 24.29/24.47 (((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~(leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | ![X104: $i] : ((~leaf(tptp_fun_X164_17(X167!19, X166!20), X104)) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), X104)))))) | ((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))),
% 24.29/24.47 inference(tautology,[status(thm)],[])).
% 24.29/24.47 tff(274,plain,
% 24.29/24.47 ((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))),
% 24.29/24.47 inference(unit_resolution,[status(thm)],[273, 272])).
% 24.29/24.47 tff(275,plain,
% 24.29/24.47 ((~((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))))) | (~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))),
% 24.29/24.48 inference(tautology,[status(thm)],[])).
% 24.29/24.48 tff(276,plain,
% 24.29/24.48 ((~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))),
% 24.29/24.48 inference(unit_resolution,[status(thm)],[275, 274])).
% 24.29/24.48 tff(277,plain,
% 24.29/24.48 (~leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.29/24.48 inference(unit_resolution,[status(thm)],[276, 265])).
% 24.29/24.48 tff(278,plain,
% 24.29/24.48 (occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0) <=> occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.29/24.48 inference(monotonicity,[status(thm)],[97])).
% 24.29/24.48 tff(279,plain,
% 24.29/24.48 (occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) <=> occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)),
% 24.29/24.48 inference(symmetry,[status(thm)],[278])).
% 24.29/24.48 tff(280,plain,
% 24.29/24.48 (occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)),
% 24.29/24.48 inference(modus_ponens,[status(thm)],[247, 279])).
% 24.29/24.48 tff(281,plain,
% 24.29/24.48 (((~subactivity_occurrence(tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.29/24.48 inference(tautology,[status(thm)],[])).
% 24.29/24.48 tff(282,plain,
% 24.29/24.48 (subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.29/24.48 inference(unit_resolution,[status(thm)],[281, 245])).
% 24.29/24.48 tff(283,plain,
% 24.29/24.48 (^[X142: $i, X143: $i, X144: $i] : refl(((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142))))) <=> ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142))))))),
% 24.29/24.48 inference(bind,[status(th)],[])).
% 24.29/24.48 tff(284,plain,
% 24.29/24.48 (![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142))))) <=> ![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142)))))),
% 24.29/24.48 inference(quant_intro,[status(thm)],[283])).
% 24.29/24.48 tff(285,plain,
% 24.29/24.48 (^[X142: $i, X143: $i, X144: $i] : rewrite(((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143))) <=> ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142))))))),
% 24.29/24.48 inference(bind,[status(th)],[])).
% 24.29/24.48 tff(286,plain,
% 24.29/24.48 (![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143))) <=> ![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142)))))),
% 24.29/24.48 inference(quant_intro,[status(thm)],[285])).
% 24.29/24.48 tff(287,plain,
% 24.29/24.48 (![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143))) <=> ![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143)))),
% 24.29/24.48 inference(rewrite,[status(thm)],[])).
% 24.29/24.48 tff(288,plain,
% 24.29/24.48 (^[X142: $i, X143: $i, X144: $i] : rewrite((next_subocc(X142, X143, X144) => (arboreal(X142) & arboreal(X143))) <=> ((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143))))),
% 24.29/24.48 inference(bind,[status(th)],[])).
% 24.29/24.48 tff(289,plain,
% 24.29/24.48 (![X142: $i, X143: $i, X144: $i] : (next_subocc(X142, X143, X144) => (arboreal(X142) & arboreal(X143))) <=> ![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143)))),
% 24.29/24.48 inference(quant_intro,[status(thm)],[288])).
% 24.29/24.48 tff(290,axiom,(![X142: $i, X143: $i, X144: $i] : (next_subocc(X142, X143, X144) => (arboreal(X142) & arboreal(X143)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_44')).
% 24.29/24.48 tff(291,plain,
% 24.29/24.48 (![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143)))),
% 24.29/24.48 inference(modus_ponens,[status(thm)],[290, 289])).
% 24.29/24.48 tff(292,plain,
% 24.29/24.48 (![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143)))),
% 24.29/24.48 inference(modus_ponens,[status(thm)],[291, 287])).
% 24.29/24.48 tff(293,plain,(
% 24.29/24.48 ![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (arboreal(X142) & arboreal(X143)))),
% 24.29/24.48 inference(skolemize,[status(sab)],[292])).
% 24.29/24.48 tff(294,plain,
% 24.29/24.48 (![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142)))))),
% 24.29/24.48 inference(modus_ponens,[status(thm)],[293, 286])).
% 24.29/24.48 tff(295,plain,
% 24.29/24.48 (![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142)))))),
% 24.29/24.48 inference(modus_ponens,[status(thm)],[294, 284])).
% 24.29/24.48 tff(296,plain,
% 24.29/24.48 (((~![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142)))))) | ((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~arboreal(tptp_fun_X165_16(X167!19, X166!20))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))))))) <=> ((~![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142)))))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~arboreal(tptp_fun_X165_16(X167!19, X166!20))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))))))),
% 24.29/24.48 inference(rewrite,[status(thm)],[])).
% 24.29/24.48 tff(297,plain,
% 24.29/24.48 ((~![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142)))))) | ((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~arboreal(tptp_fun_X165_16(X167!19, X166!20))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))))))),
% 24.29/24.48 inference(quant_inst,[status(thm)],[])).
% 24.29/24.48 tff(298,plain,
% 24.29/24.48 ((~![X142: $i, X143: $i, X144: $i] : ((~next_subocc(X142, X143, X144)) | (~((~arboreal(X143)) | (~arboreal(X142)))))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X165_16(X167!19, X166!20), tptp0)) | (~((~arboreal(tptp_fun_X165_16(X167!19, X166!20))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20)))))),
% 24.29/24.48 inference(modus_ponens,[status(thm)],[297, 296])).
% 24.29/24.48 tff(299,plain,
% 24.29/24.48 (~((~arboreal(tptp_fun_X165_16(X167!19, X166!20))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.48 inference(unit_resolution,[status(thm)],[298, 295, 151])).
% 24.29/24.48 tff(300,plain,
% 24.29/24.48 (((~arboreal(tptp_fun_X165_16(X167!19, X166!20))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20)))) | arboreal(tptp_fun_X164_17(X167!19, X166!20))),
% 24.29/24.48 inference(tautology,[status(thm)],[])).
% 24.29/24.48 tff(301,plain,
% 24.29/24.48 (arboreal(tptp_fun_X164_17(X167!19, X166!20))),
% 24.29/24.48 inference(unit_resolution,[status(thm)],[300, 299])).
% 24.29/24.48 tff(302,plain,
% 24.29/24.48 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.29/24.48 inference(rewrite,[status(thm)],[])).
% 24.29/24.48 tff(303,plain,
% 24.29/24.48 (((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) <=> ((~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.29/24.48 inference(rewrite,[status(thm)],[])).
% 24.29/24.48 tff(304,plain,
% 24.29/24.48 ((~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))) <=> (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.29/24.48 inference(rewrite,[status(thm)],[])).
% 24.29/24.48 tff(305,plain,
% 24.29/24.48 (((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) <=> ((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.29/24.48 inference(monotonicity,[status(thm)],[304])).
% 24.29/24.48 tff(306,plain,
% 24.29/24.48 (((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) <=> ((~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.29/24.49 inference(transitivity,[status(thm)],[305, 303])).
% 24.29/24.49 tff(307,plain,
% 24.29/24.49 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))))),
% 24.29/24.49 inference(monotonicity,[status(thm)],[306])).
% 24.29/24.49 tff(308,plain,
% 24.29/24.49 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.29/24.49 inference(transitivity,[status(thm)],[307, 302])).
% 24.29/24.49 tff(309,plain,
% 24.29/24.49 ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.29/24.49 inference(quant_inst,[status(thm)],[])).
% 24.29/24.49 tff(310,plain,
% 24.29/24.49 ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | (~arboreal(tptp_fun_X164_17(X167!19, X166!20))) | (~subactivity_occurrence(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.29/24.49 inference(modus_ponens,[status(thm)],[309, 308])).
% 24.29/24.49 tff(311,plain,
% 24.29/24.49 ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.29/24.49 inference(unit_resolution,[status(thm)],[310, 139, 301, 282])).
% 24.29/24.49 tff(312,plain,
% 24.29/24.49 (leaf_occ(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.29/24.49 inference(unit_resolution,[status(thm)],[311, 280])).
% 24.29/24.49 tff(313,plain,
% 24.29/24.49 (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))),
% 24.29/24.50 inference(unit_resolution,[status(thm)],[312, 277])).
% 24.29/24.50 tff(314,plain,
% 24.29/24.50 (((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.29/24.50 inference(tautology,[status(thm)],[])).
% 24.29/24.50 tff(315,plain,
% 24.29/24.50 (leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.29/24.50 inference(unit_resolution,[status(thm)],[314, 313])).
% 24.29/24.50 tff(316,plain,
% 24.29/24.50 ((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.29/24.50 inference(tautology,[status(thm)],[])).
% 24.29/24.50 tff(317,plain,
% 24.29/24.50 ((~((~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) | (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.29/24.50 inference(unit_resolution,[status(thm)],[316, 315])).
% 24.29/24.50 tff(318,plain,
% 24.29/24.50 (~((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))),
% 24.29/24.50 inference(unit_resolution,[status(thm)],[317, 25])).
% 24.29/24.50 tff(319,plain,
% 24.29/24.50 (((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~leaf(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (~subactivity_occurrence(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.50 inference(tautology,[status(thm)],[])).
% 24.29/24.50 tff(320,plain,
% 24.29/24.50 (occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.50 inference(unit_resolution,[status(thm)],[319, 318])).
% 24.29/24.50 tff(321,plain,
% 24.29/24.50 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))),
% 24.29/24.50 inference(rewrite,[status(thm)],[])).
% 24.29/24.50 tff(322,plain,
% 24.29/24.50 (((tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))) <=> ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))),
% 24.29/24.50 inference(rewrite,[status(thm)],[])).
% 24.29/24.50 tff(323,plain,
% 24.29/24.50 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))),
% 24.29/24.50 inference(monotonicity,[status(thm)],[322])).
% 24.29/24.50 tff(324,plain,
% 24.29/24.50 (((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))) <=> ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))),
% 24.29/24.50 inference(transitivity,[status(thm)],[323, 321])).
% 24.29/24.50 tff(325,plain,
% 24.29/24.50 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | ((tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))))),
% 24.29/24.50 inference(quant_inst,[status(thm)],[])).
% 24.29/24.50 tff(326,plain,
% 24.29/24.50 ((~![X4: $i, X5: $i, X6: $i] : ((X5 = X6) | (~occurrence_of(X4, X5)) | (~occurrence_of(X4, X6)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))) | (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.29/24.50 inference(modus_ponens,[status(thm)],[325, 324])).
% 24.29/24.50 tff(327,plain,
% 24.29/24.50 (tptp_fun_X3_0(X167!19) = tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))),
% 24.29/24.50 inference(unit_resolution,[status(thm)],[326, 90, 247, 320])).
% 24.29/24.50 tff(328,plain,
% 24.29/24.50 (tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) = tptp_fun_X3_0(X167!19)),
% 24.29/24.50 inference(symmetry,[status(thm)],[327])).
% 24.29/24.50 tff(329,assumption,(~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))), introduced(assumption)).
% 24.29/24.50 tff(330,plain,
% 24.29/24.50 (((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.29/24.51 inference(tautology,[status(thm)],[])).
% 24.29/24.51 tff(331,plain,
% 24.29/24.51 (leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.29/24.51 inference(unit_resolution,[status(thm)],[330, 329])).
% 24.29/24.51 tff(332,plain,
% 24.29/24.51 (^[X16: $i, X17: $i] : refl(((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))) <=> ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))))),
% 24.29/24.51 inference(bind,[status(th)],[])).
% 24.29/24.51 tff(333,plain,
% 24.29/24.51 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))) <=> ![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 24.35/24.51 inference(quant_intro,[status(thm)],[332])).
% 24.35/24.51 tff(334,plain,
% 24.35/24.51 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))) <=> ![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 24.35/24.51 inference(rewrite,[status(thm)],[])).
% 24.35/24.51 tff(335,plain,
% 24.35/24.51 (^[X16: $i, X17: $i] : rewrite((occurrence_of(X16, X17) => (arboreal(X16) <=> atomic(X17))) <=> ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17))))),
% 24.35/24.51 inference(bind,[status(th)],[])).
% 24.35/24.51 tff(336,plain,
% 24.35/24.51 (![X16: $i, X17: $i] : (occurrence_of(X16, X17) => (arboreal(X16) <=> atomic(X17))) <=> ![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 24.35/24.51 inference(quant_intro,[status(thm)],[335])).
% 24.35/24.51 tff(337,axiom,(![X16: $i, X17: $i] : (occurrence_of(X16, X17) => (arboreal(X16) <=> atomic(X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_07')).
% 24.35/24.51 tff(338,plain,
% 24.35/24.51 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[337, 336])).
% 24.35/24.51 tff(339,plain,
% 24.35/24.51 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[338, 334])).
% 24.35/24.51 tff(340,plain,(
% 24.35/24.51 ![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 24.35/24.51 inference(skolemize,[status(sab)],[339])).
% 24.35/24.51 tff(341,plain,
% 24.35/24.51 (![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[340, 333])).
% 24.35/24.51 tff(342,plain,
% 24.35/24.51 (((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (arboreal(X167!19) <=> atomic(tptp_fun_X3_0(X167!19))))) <=> ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (arboreal(X167!19) <=> atomic(tptp_fun_X3_0(X167!19))))),
% 24.35/24.51 inference(rewrite,[status(thm)],[])).
% 24.35/24.51 tff(343,plain,
% 24.35/24.51 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (arboreal(X167!19) <=> atomic(tptp_fun_X3_0(X167!19))))),
% 24.35/24.51 inference(quant_inst,[status(thm)],[])).
% 24.35/24.51 tff(344,plain,
% 24.35/24.51 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(X167!19, tptp_fun_X3_0(X167!19))) | (arboreal(X167!19) <=> atomic(tptp_fun_X3_0(X167!19)))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[343, 342])).
% 24.35/24.51 tff(345,plain,
% 24.35/24.51 (arboreal(X167!19) <=> atomic(tptp_fun_X3_0(X167!19))),
% 24.35/24.51 inference(unit_resolution,[status(thm)],[344, 341, 77])).
% 24.35/24.51 tff(346,plain,
% 24.35/24.51 (((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(X167!19, tptp0)) | (arboreal(X167!19) <=> atomic(tptp0)))) <=> ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(X167!19, tptp0)) | (arboreal(X167!19) <=> atomic(tptp0)))),
% 24.35/24.51 inference(rewrite,[status(thm)],[])).
% 24.35/24.51 tff(347,plain,
% 24.35/24.51 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | ((~occurrence_of(X167!19, tptp0)) | (arboreal(X167!19) <=> atomic(tptp0)))),
% 24.35/24.51 inference(quant_inst,[status(thm)],[])).
% 24.35/24.51 tff(348,plain,
% 24.35/24.51 ((~![X16: $i, X17: $i] : ((~occurrence_of(X16, X17)) | (arboreal(X16) <=> atomic(X17)))) | (~occurrence_of(X167!19, tptp0)) | (arboreal(X167!19) <=> atomic(tptp0))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[347, 346])).
% 24.35/24.51 tff(349,plain,
% 24.35/24.51 (arboreal(X167!19) <=> atomic(tptp0)),
% 24.35/24.51 inference(unit_resolution,[status(thm)],[348, 341, 39])).
% 24.35/24.51 tff(350,plain,
% 24.35/24.51 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 24.35/24.51 inference(rewrite,[status(thm)],[])).
% 24.35/24.51 tff(351,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_51')).
% 24.35/24.51 tff(352,plain,
% 24.35/24.51 (~atomic(tptp0)),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[351, 350])).
% 24.35/24.51 tff(353,plain,
% 24.35/24.51 ((~(arboreal(X167!19) <=> atomic(tptp0))) | (~arboreal(X167!19)) | atomic(tptp0)),
% 24.35/24.51 inference(tautology,[status(thm)],[])).
% 24.35/24.51 tff(354,plain,
% 24.35/24.51 ((~(arboreal(X167!19) <=> atomic(tptp0))) | (~arboreal(X167!19))),
% 24.35/24.51 inference(unit_resolution,[status(thm)],[353, 352])).
% 24.35/24.51 tff(355,plain,
% 24.35/24.51 (~arboreal(X167!19)),
% 24.35/24.51 inference(unit_resolution,[status(thm)],[354, 349])).
% 24.35/24.51 tff(356,plain,
% 24.35/24.51 ((~(arboreal(X167!19) <=> atomic(tptp_fun_X3_0(X167!19)))) | arboreal(X167!19) | (~atomic(tptp_fun_X3_0(X167!19)))),
% 24.35/24.51 inference(tautology,[status(thm)],[])).
% 24.35/24.51 tff(357,plain,
% 24.35/24.51 ((~(arboreal(X167!19) <=> atomic(tptp_fun_X3_0(X167!19)))) | (~atomic(tptp_fun_X3_0(X167!19)))),
% 24.35/24.51 inference(unit_resolution,[status(thm)],[356, 355])).
% 24.35/24.51 tff(358,plain,
% 24.35/24.51 (~atomic(tptp_fun_X3_0(X167!19))),
% 24.35/24.51 inference(unit_resolution,[status(thm)],[357, 345])).
% 24.35/24.51 tff(359,plain,
% 24.35/24.51 (^[X109: $i, X110: $i, X111: $i, X112: $i] : refl((atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))) <=> (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))),
% 24.35/24.51 inference(bind,[status(th)],[])).
% 24.35/24.51 tff(360,plain,
% 24.35/24.51 (![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))) <=> ![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))),
% 24.35/24.51 inference(quant_intro,[status(thm)],[359])).
% 24.35/24.51 tff(361,plain,
% 24.35/24.51 (^[X109: $i, X110: $i, X111: $i, X112: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111)) <=> (~(atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))), ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) <=> (~(~(atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))))), rewrite((~(~(atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))) <=> (atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))), ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) <=> (atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))))), (((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110)) <=> ((atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))) | (X109 = X110)))), rewrite(((atomic(X112) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111))) | (X109 = X110)) <=> (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))), (((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110)) <=> (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))))),
% 24.35/24.51 inference(bind,[status(th)],[])).
% 24.35/24.51 tff(362,plain,
% 24.35/24.51 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110)) <=> ![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))),
% 24.35/24.51 inference(quant_intro,[status(thm)],[361])).
% 24.35/24.51 tff(363,plain,
% 24.35/24.51 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110)) <=> ![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 24.35/24.51 inference(rewrite,[status(thm)],[])).
% 24.35/24.51 tff(364,plain,
% 24.35/24.51 (^[X109: $i, X110: $i, X111: $i, X112: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) <=> (occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111))), ((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) <=> ((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)))), rewrite(((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) <=> (occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))), ((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) <=> (occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111)))), (((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) => (X109 = X110)) <=> ((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111)) => (X109 = X110)))), rewrite(((occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111)) => (X109 = X110)) <=> ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))), (((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) => (X109 = X110)) <=> ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))))),
% 24.35/24.51 inference(bind,[status(th)],[])).
% 24.35/24.51 tff(365,plain,
% 24.35/24.51 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) => (X109 = X110)) <=> ![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 24.35/24.51 inference(quant_intro,[status(thm)],[364])).
% 24.35/24.51 tff(366,axiom,(![X109: $i, X110: $i, X111: $i, X112: $i] : ((((occurrence_of(X111, X112) & (~atomic(X112))) & leaf_occ(X109, X111)) & leaf_occ(X110, X111)) => (X109 = X110))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_36')).
% 24.35/24.51 tff(367,plain,
% 24.35/24.51 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[366, 365])).
% 24.35/24.51 tff(368,plain,
% 24.35/24.51 (![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[367, 363])).
% 24.35/24.51 tff(369,plain,(
% 24.35/24.51 ![X109: $i, X110: $i, X111: $i, X112: $i] : ((~(occurrence_of(X111, X112) & (~atomic(X112)) & leaf_occ(X109, X111) & leaf_occ(X110, X111))) | (X109 = X110))),
% 24.35/24.51 inference(skolemize,[status(sab)],[368])).
% 24.35/24.51 tff(370,plain,
% 24.35/24.51 (![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[369, 362])).
% 24.35/24.51 tff(371,plain,
% 24.35/24.51 (![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[370, 360])).
% 24.35/24.51 tff(372,plain,
% 24.35/24.51 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.51 inference(rewrite,[status(thm)],[])).
% 24.35/24.51 tff(373,plain,
% 24.35/24.51 ((atomic(tptp_fun_X3_0(X167!19)) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> (atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.51 inference(rewrite,[status(thm)],[])).
% 24.35/24.51 tff(374,plain,
% 24.35/24.51 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))))),
% 24.35/24.51 inference(monotonicity,[status(thm)],[373])).
% 24.35/24.51 tff(375,plain,
% 24.35/24.51 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.51 inference(transitivity,[status(thm)],[374, 372])).
% 24.35/24.51 tff(376,plain,
% 24.35/24.51 ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.51 inference(quant_inst,[status(thm)],[])).
% 24.35/24.51 tff(377,plain,
% 24.35/24.51 ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.51 inference(modus_ponens,[status(thm)],[376, 375])).
% 24.35/24.51 tff(378,plain,
% 24.35/24.51 (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.51 inference(unit_resolution,[status(thm)],[377, 371, 358, 247, 315, 331])).
% 24.35/24.51 tff(379,plain,
% 24.35/24.51 (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))),
% 24.35/24.51 inference(symmetry,[status(thm)],[378])).
% 24.35/24.51 tff(380,plain,
% 24.35/24.51 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19)) <=> next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.51 inference(monotonicity,[status(thm)],[379, 98])).
% 24.35/24.51 tff(381,plain,
% 24.35/24.51 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0) <=> next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))),
% 24.35/24.52 inference(symmetry,[status(thm)],[380])).
% 24.35/24.52 tff(382,plain,
% 24.35/24.52 (((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.52 inference(tautology,[status(thm)],[])).
% 24.35/24.52 tff(383,plain,
% 24.35/24.52 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.52 inference(unit_resolution,[status(thm)],[382, 313])).
% 24.35/24.52 tff(384,plain,
% 24.35/24.52 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))),
% 24.35/24.52 inference(modus_ponens,[status(thm)],[383, 381])).
% 24.35/24.52 tff(385,plain,
% 24.35/24.52 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19)) <=> next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.52 inference(monotonicity,[status(thm)],[98])).
% 24.35/24.52 tff(386,plain,
% 24.35/24.52 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0) <=> next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))),
% 24.35/24.52 inference(symmetry,[status(thm)],[385])).
% 24.35/24.52 tff(387,plain,
% 24.35/24.52 (((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.52 inference(tautology,[status(thm)],[])).
% 24.35/24.52 tff(388,plain,
% 24.35/24.52 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.52 inference(unit_resolution,[status(thm)],[387, 329])).
% 24.35/24.52 tff(389,plain,
% 24.35/24.52 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))),
% 24.35/24.52 inference(modus_ponens,[status(thm)],[388, 386])).
% 24.35/24.52 tff(390,plain,
% 24.35/24.52 (^[X126: $i, X127: $i, X128: $i, X129: $i] : refl(((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))) <=> ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))),
% 24.35/24.52 inference(bind,[status(th)],[])).
% 24.35/24.52 tff(391,plain,
% 24.35/24.52 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))) <=> ![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))),
% 24.35/24.52 inference(quant_intro,[status(thm)],[390])).
% 24.35/24.52 tff(392,plain,
% 24.35/24.52 (^[X126: $i, X127: $i, X128: $i, X129: $i] : trans(monotonicity(trans(monotonicity(rewrite((next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129)) <=> (~((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))), ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) <=> (~(~((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))))), rewrite((~(~((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))) <=> ((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))), ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) <=> ((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))))), (((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)) <=> (((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))) | (X127 = X128)))), rewrite((((~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129))) | (X127 = X128)) <=> ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))), (((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)) <=> ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))))),
% 24.35/24.52 inference(bind,[status(th)],[])).
% 24.35/24.52 tff(393,plain,
% 24.35/24.52 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)) <=> ![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))),
% 24.35/24.52 inference(quant_intro,[status(thm)],[392])).
% 24.35/24.52 tff(394,plain,
% 24.35/24.52 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)) <=> ![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 24.35/24.52 inference(rewrite,[status(thm)],[])).
% 24.35/24.52 tff(395,plain,
% 24.35/24.52 (^[X126: $i, X127: $i, X128: $i, X129: $i] : rewrite(((next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129)) => (X127 = X128)) <=> ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128)))),
% 24.35/24.52 inference(bind,[status(th)],[])).
% 24.35/24.52 tff(396,plain,
% 24.35/24.52 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129)) => (X127 = X128)) <=> ![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 24.35/24.52 inference(quant_intro,[status(thm)],[395])).
% 24.35/24.52 tff(397,axiom,(![X126: $i, X127: $i, X128: $i, X129: $i] : ((next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129)) => (X127 = X128))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_40')).
% 24.35/24.52 tff(398,plain,
% 24.35/24.52 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 24.35/24.52 inference(modus_ponens,[status(thm)],[397, 396])).
% 24.35/24.52 tff(399,plain,
% 24.35/24.52 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 24.35/24.52 inference(modus_ponens,[status(thm)],[398, 394])).
% 24.35/24.52 tff(400,plain,(
% 24.35/24.52 ![X126: $i, X127: $i, X128: $i, X129: $i] : ((~(next_subocc(X127, X126, X129) & next_subocc(X128, X126, X129))) | (X127 = X128))),
% 24.35/24.52 inference(skolemize,[status(sab)],[399])).
% 24.35/24.52 tff(401,plain,
% 24.35/24.52 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))),
% 24.35/24.52 inference(modus_ponens,[status(thm)],[400, 393])).
% 24.35/24.52 tff(402,plain,
% 24.35/24.52 (![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))),
% 24.35/24.52 inference(modus_ponens,[status(thm)],[401, 391])).
% 24.35/24.52 tff(403,plain,
% 24.35/24.52 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))))),
% 24.35/24.52 inference(rewrite,[status(thm)],[])).
% 24.35/24.52 tff(404,plain,
% 24.35/24.52 (((tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19)))) <=> ((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))))),
% 24.35/24.52 inference(rewrite,[status(thm)],[])).
% 24.35/24.52 tff(405,plain,
% 24.35/24.52 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.52 inference(monotonicity,[status(thm)],[404])).
% 24.35/24.52 tff(406,plain,
% 24.35/24.52 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))))),
% 24.35/24.52 inference(transitivity,[status(thm)],[405, 403])).
% 24.35/24.52 tff(407,plain,
% 24.35/24.52 ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))))),
% 24.35/24.53 inference(quant_inst,[status(thm)],[])).
% 24.35/24.53 tff(408,plain,
% 24.35/24.53 ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19))) | (tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19)))),
% 24.35/24.53 inference(modus_ponens,[status(thm)],[407, 406])).
% 24.35/24.53 tff(409,plain,
% 24.35/24.53 ((tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X3_0(X167!19)))),
% 24.35/24.53 inference(unit_resolution,[status(thm)],[408, 402, 389])).
% 24.35/24.53 tff(410,plain,
% 24.35/24.53 (tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))),
% 24.35/24.53 inference(unit_resolution,[status(thm)],[409, 384])).
% 24.35/24.53 tff(411,plain,
% 24.35/24.53 (tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.53 inference(symmetry,[status(thm)],[410])).
% 24.35/24.53 tff(412,plain,
% 24.35/24.53 (next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) <=> next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.53 inference(monotonicity,[status(thm)],[411, 98])).
% 24.35/24.53 tff(413,plain,
% 24.35/24.53 (next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0) <=> next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.53 inference(symmetry,[status(thm)],[412])).
% 24.35/24.53 tff(414,plain,
% 24.35/24.53 (((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.53 inference(tautology,[status(thm)],[])).
% 24.35/24.53 tff(415,plain,
% 24.35/24.53 (next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.53 inference(unit_resolution,[status(thm)],[414, 329])).
% 24.35/24.53 tff(416,plain,
% 24.35/24.53 (next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.53 inference(modus_ponens,[status(thm)],[415, 413])).
% 24.35/24.53 tff(417,plain,
% 24.35/24.53 (next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) <=> next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.53 inference(monotonicity,[status(thm)],[98])).
% 24.35/24.53 tff(418,plain,
% 24.35/24.53 (next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0) <=> next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.53 inference(symmetry,[status(thm)],[417])).
% 24.35/24.53 tff(419,plain,
% 24.35/24.53 (((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.53 inference(tautology,[status(thm)],[])).
% 24.35/24.53 tff(420,plain,
% 24.35/24.53 (next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.53 inference(unit_resolution,[status(thm)],[419, 313])).
% 24.35/24.53 tff(421,plain,
% 24.35/24.53 (next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.53 inference(modus_ponens,[status(thm)],[420, 418])).
% 24.35/24.53 tff(422,plain,
% 24.35/24.53 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.53 inference(rewrite,[status(thm)],[])).
% 24.35/24.53 tff(423,plain,
% 24.35/24.53 (((tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) <=> ((~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.53 inference(rewrite,[status(thm)],[])).
% 24.35/24.53 tff(424,plain,
% 24.35/24.53 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.54 inference(monotonicity,[status(thm)],[423])).
% 24.35/24.54 tff(425,plain,
% 24.35/24.54 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.54 inference(transitivity,[status(thm)],[424, 422])).
% 24.35/24.54 tff(426,plain,
% 24.35/24.54 ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.54 inference(quant_inst,[status(thm)],[])).
% 24.35/24.54 tff(427,plain,
% 24.35/24.54 ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[426, 425])).
% 24.35/24.54 tff(428,plain,
% 24.35/24.54 ((tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.54 inference(unit_resolution,[status(thm)],[427, 402, 421])).
% 24.35/24.54 tff(429,plain,
% 24.35/24.54 (tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))),
% 24.35/24.54 inference(unit_resolution,[status(thm)],[428, 416])).
% 24.35/24.54 tff(430,plain,
% 24.35/24.54 (tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.54 inference(symmetry,[status(thm)],[429])).
% 24.35/24.54 tff(431,plain,
% 24.35/24.54 (next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) <=> next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.54 inference(monotonicity,[status(thm)],[430, 98])).
% 24.35/24.54 tff(432,plain,
% 24.35/24.54 (next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0) <=> next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.54 inference(symmetry,[status(thm)],[431])).
% 24.35/24.54 tff(433,plain,
% 24.35/24.54 (((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.54 inference(tautology,[status(thm)],[])).
% 24.35/24.54 tff(434,plain,
% 24.35/24.54 (next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)),
% 24.35/24.54 inference(unit_resolution,[status(thm)],[433, 329])).
% 24.35/24.54 tff(435,plain,
% 24.35/24.54 (next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[434, 432])).
% 24.35/24.54 tff(436,assumption,(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)), introduced(assumption)).
% 24.35/24.54 tff(437,plain,
% 24.35/24.54 (root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) <=> root(tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.35/24.54 inference(monotonicity,[status(thm)],[436, 98])).
% 24.35/24.54 tff(438,plain,
% 24.35/24.54 (root(tptp_fun_X164_17(X167!19, X166!20), tptp0) <=> root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.35/24.54 inference(symmetry,[status(thm)],[437])).
% 24.35/24.54 tff(439,plain,
% 24.35/24.54 ((~root(tptp_fun_X164_17(X167!19, X166!20), tptp0)) <=> (~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.54 inference(monotonicity,[status(thm)],[438])).
% 24.35/24.54 tff(440,plain,
% 24.35/24.54 (^[X35: $i, X36: $i, X37: $i] : refl(((~root(X36, X37)) | (~min_precedes(X35, X36, X37))) <=> ((~root(X36, X37)) | (~min_precedes(X35, X36, X37))))),
% 24.35/24.54 inference(bind,[status(th)],[])).
% 24.35/24.54 tff(441,plain,
% 24.35/24.54 (![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37))) <=> ![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))),
% 24.35/24.54 inference(quant_intro,[status(thm)],[440])).
% 24.35/24.54 tff(442,plain,
% 24.35/24.54 (![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37))) <=> ![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))),
% 24.35/24.54 inference(rewrite,[status(thm)],[])).
% 24.35/24.54 tff(443,plain,
% 24.35/24.54 (^[X35: $i, X36: $i, X37: $i] : rewrite((min_precedes(X35, X36, X37) => (~root(X36, X37))) <=> ((~root(X36, X37)) | (~min_precedes(X35, X36, X37))))),
% 24.35/24.54 inference(bind,[status(th)],[])).
% 24.35/24.54 tff(444,plain,
% 24.35/24.54 (![X35: $i, X36: $i, X37: $i] : (min_precedes(X35, X36, X37) => (~root(X36, X37))) <=> ![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))),
% 24.35/24.54 inference(quant_intro,[status(thm)],[443])).
% 24.35/24.54 tff(445,axiom,(![X35: $i, X36: $i, X37: $i] : (min_precedes(X35, X36, X37) => (~root(X36, X37)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_14')).
% 24.35/24.54 tff(446,plain,
% 24.35/24.54 (![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[445, 444])).
% 24.35/24.54 tff(447,plain,
% 24.35/24.54 (![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[446, 442])).
% 24.35/24.54 tff(448,plain,(
% 24.35/24.54 ![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))),
% 24.35/24.54 inference(skolemize,[status(sab)],[447])).
% 24.35/24.54 tff(449,plain,
% 24.35/24.54 (![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[448, 441])).
% 24.35/24.54 tff(450,plain,
% 24.35/24.54 (((~![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))) | ((~root(tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)))) <=> ((~![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))) | (~root(tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)))),
% 24.35/24.54 inference(rewrite,[status(thm)],[])).
% 24.35/24.54 tff(451,plain,
% 24.35/24.54 ((~![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))) | ((~root(tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0)))),
% 24.35/24.54 inference(quant_inst,[status(thm)],[])).
% 24.35/24.54 tff(452,plain,
% 24.35/24.54 ((~![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))) | (~root(tptp_fun_X164_17(X167!19, X166!20), tptp0)) | (~min_precedes(tptp_fun_X163_18(X167!19, X166!20), tptp_fun_X164_17(X167!19, X166!20), tptp0))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[451, 450])).
% 24.35/24.54 tff(453,plain,
% 24.35/24.54 (~root(tptp_fun_X164_17(X167!19, X166!20), tptp0)),
% 24.35/24.54 inference(unit_resolution,[status(thm)],[452, 449, 207])).
% 24.35/24.54 tff(454,plain,
% 24.35/24.54 (~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[453, 439])).
% 24.35/24.54 tff(455,plain,
% 24.35/24.54 (^[X76: $i, X77: $i] : refl((atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))) <=> (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))))),
% 24.35/24.54 inference(bind,[status(th)],[])).
% 24.35/24.54 tff(456,plain,
% 24.35/24.54 (![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))) <=> ![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))),
% 24.35/24.54 inference(quant_intro,[status(thm)],[455])).
% 24.35/24.54 tff(457,plain,
% 24.35/24.54 (^[X76: $i, X77: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X77, X76) & (~atomic(X76))) <=> (~(atomic(X76) | (~occurrence_of(X77, X76))))), ((~(occurrence_of(X77, X76) & (~atomic(X76)))) <=> (~(~(atomic(X76) | (~occurrence_of(X77, X76))))))), rewrite((~(~(atomic(X76) | (~occurrence_of(X77, X76))))) <=> (atomic(X76) | (~occurrence_of(X77, X76)))), ((~(occurrence_of(X77, X76) & (~atomic(X76)))) <=> (atomic(X76) | (~occurrence_of(X77, X76))))), rewrite((root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)) <=> (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))), (((~(occurrence_of(X77, X76) & (~atomic(X76)))) | (root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))) <=> ((atomic(X76) | (~occurrence_of(X77, X76))) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))))), rewrite(((atomic(X76) | (~occurrence_of(X77, X76))) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))))) <=> (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))), (((~(occurrence_of(X77, X76) & (~atomic(X76)))) | (root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))) <=> (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))))),
% 24.35/24.54 inference(bind,[status(th)],[])).
% 24.35/24.54 tff(458,plain,
% 24.35/24.54 (![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | (root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77))) <=> ![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))),
% 24.35/24.54 inference(quant_intro,[status(thm)],[457])).
% 24.35/24.54 tff(459,plain,
% 24.35/24.54 (![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77))) <=> ![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))),
% 24.35/24.54 inference(rewrite,[status(thm)],[])).
% 24.35/24.54 tff(460,plain,
% 24.35/24.54 (^[X76: $i, X77: $i] : rewrite(((occurrence_of(X77, X76) & (~atomic(X76))) => ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77))) <=> ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77))))),
% 24.35/24.54 inference(bind,[status(th)],[])).
% 24.35/24.54 tff(461,plain,
% 24.35/24.54 (![X76: $i, X77: $i] : ((occurrence_of(X77, X76) & (~atomic(X76))) => ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77))) <=> ![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))),
% 24.35/24.54 inference(quant_intro,[status(thm)],[460])).
% 24.35/24.54 tff(462,axiom,(![X76: $i, X77: $i] : ((occurrence_of(X77, X76) & (~atomic(X76))) => ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_27')).
% 24.35/24.54 tff(463,plain,
% 24.35/24.54 (![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[462, 461])).
% 24.35/24.54 tff(464,plain,
% 24.35/24.54 (![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | ?[X78: $i] : (root(X78, X76) & subactivity_occurrence(X78, X77)))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[463, 459])).
% 24.35/24.54 tff(465,plain,(
% 24.35/24.54 ![X76: $i, X77: $i] : ((~(occurrence_of(X77, X76) & (~atomic(X76)))) | (root(tptp_fun_X78_11(X77, X76), X76) & subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))),
% 24.35/24.54 inference(skolemize,[status(sab)],[464])).
% 24.35/24.54 tff(466,plain,
% 24.35/24.54 (![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[465, 458])).
% 24.35/24.54 tff(467,plain,
% 24.35/24.54 (![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[466, 456])).
% 24.35/24.54 tff(468,plain,
% 24.35/24.54 (((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | (atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~((~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) <=> ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~((~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.35/24.54 inference(rewrite,[status(thm)],[])).
% 24.35/24.54 tff(469,plain,
% 24.35/24.54 ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | (atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~((~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.35/24.54 inference(quant_inst,[status(thm)],[])).
% 24.35/24.54 tff(470,plain,
% 24.35/24.54 ((~![X76: $i, X77: $i] : (atomic(X76) | (~occurrence_of(X77, X76)) | (~((~root(tptp_fun_X78_11(X77, X76), X76)) | (~subactivity_occurrence(tptp_fun_X78_11(X77, X76), X77)))))) | atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~((~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.35/24.54 inference(modus_ponens,[status(thm)],[469, 468])).
% 24.35/24.54 tff(471,plain,
% 24.35/24.54 (~((~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.54 inference(unit_resolution,[status(thm)],[470, 467, 358, 247])).
% 24.35/24.54 tff(472,plain,
% 24.35/24.54 (((~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.35/24.54 inference(tautology,[status(thm)],[])).
% 24.35/24.54 tff(473,plain,
% 24.35/24.54 (root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.35/24.54 inference(unit_resolution,[status(thm)],[472, 471])).
% 24.35/24.54 tff(474,plain,
% 24.35/24.54 ($false),
% 24.35/24.54 inference(unit_resolution,[status(thm)],[473, 454])).
% 24.35/24.54 tff(475,plain,(~(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20))), inference(lemma,lemma(discharge,[]))).
% 24.35/24.54 tff(476,plain,
% 24.35/24.54 (next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) <=> next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.54 inference(monotonicity,[status(thm)],[98])).
% 24.35/24.54 tff(477,plain,
% 24.35/24.54 (next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0) <=> next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.54 inference(symmetry,[status(thm)],[476])).
% 24.35/24.54 tff(478,plain,
% 24.35/24.54 (((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp3)) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.55 inference(tautology,[status(thm)],[])).
% 24.35/24.55 tff(479,plain,
% 24.35/24.55 (next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.35/24.55 inference(unit_resolution,[status(thm)],[478, 313])).
% 24.35/24.55 tff(480,plain,
% 24.35/24.55 (next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[479, 477])).
% 24.35/24.55 tff(481,plain,
% 24.35/24.55 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.55 inference(rewrite,[status(thm)],[])).
% 24.35/24.55 tff(482,plain,
% 24.35/24.55 (((tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) <=> ((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.55 inference(rewrite,[status(thm)],[])).
% 24.35/24.55 tff(483,plain,
% 24.35/24.55 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.55 inference(monotonicity,[status(thm)],[482])).
% 24.35/24.55 tff(484,plain,
% 24.35/24.55 (((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.55 inference(transitivity,[status(thm)],[483, 481])).
% 24.35/24.55 tff(485,plain,
% 24.35/24.55 ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | ((tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.55 inference(quant_inst,[status(thm)],[])).
% 24.35/24.55 tff(486,plain,
% 24.35/24.55 ((~![X126: $i, X127: $i, X128: $i, X129: $i] : ((X127 = X128) | (~next_subocc(X127, X126, X129)) | (~next_subocc(X128, X126, X129)))) | (~next_subocc(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) = tptp_fun_X164_17(X167!19, X166!20)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[485, 484])).
% 24.35/24.55 tff(487,plain,
% 24.35/24.55 (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.35/24.55 inference(unit_resolution,[status(thm)],[486, 402, 480, 475])).
% 24.35/24.55 tff(488,plain,
% 24.35/24.55 ($false),
% 24.35/24.55 inference(unit_resolution,[status(thm)],[487, 435])).
% 24.35/24.55 tff(489,plain,((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))), inference(lemma,lemma(discharge,[]))).
% 24.35/24.55 tff(490,plain,
% 24.35/24.55 (^[X41: $i, X42: $i] : refl((legal(X41) | (~root(X41, X42))) <=> (legal(X41) | (~root(X41, X42))))),
% 24.35/24.55 inference(bind,[status(th)],[])).
% 24.35/24.55 tff(491,plain,
% 24.35/24.55 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42))) <=> ![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 24.35/24.55 inference(quant_intro,[status(thm)],[490])).
% 24.35/24.55 tff(492,plain,
% 24.35/24.55 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42))) <=> ![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 24.35/24.55 inference(rewrite,[status(thm)],[])).
% 24.35/24.55 tff(493,plain,
% 24.35/24.55 (^[X41: $i, X42: $i] : rewrite((root(X41, X42) => legal(X41)) <=> (legal(X41) | (~root(X41, X42))))),
% 24.35/24.55 inference(bind,[status(th)],[])).
% 24.35/24.55 tff(494,plain,
% 24.35/24.55 (![X41: $i, X42: $i] : (root(X41, X42) => legal(X41)) <=> ![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 24.35/24.55 inference(quant_intro,[status(thm)],[493])).
% 24.35/24.55 tff(495,axiom,(![X41: $i, X42: $i] : (root(X41, X42) => legal(X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_16')).
% 24.35/24.55 tff(496,plain,
% 24.35/24.55 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[495, 494])).
% 24.35/24.55 tff(497,plain,
% 24.35/24.55 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[496, 492])).
% 24.35/24.55 tff(498,plain,(
% 24.35/24.55 ![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 24.35/24.55 inference(skolemize,[status(sab)],[497])).
% 24.35/24.55 tff(499,plain,
% 24.35/24.55 (![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[498, 491])).
% 24.35/24.55 tff(500,plain,
% 24.35/24.55 (((~![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))) | (legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))) <=> ((~![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))) | legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.55 inference(rewrite,[status(thm)],[])).
% 24.35/24.55 tff(501,plain,
% 24.35/24.55 ((~![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))) | (legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.55 inference(quant_inst,[status(thm)],[])).
% 24.35/24.55 tff(502,plain,
% 24.35/24.55 ((~![X41: $i, X42: $i] : (legal(X41) | (~root(X41, X42)))) | legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[501, 500])).
% 24.35/24.55 tff(503,plain,
% 24.35/24.55 (legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.55 inference(unit_resolution,[status(thm)],[502, 499, 473])).
% 24.35/24.55 tff(504,plain,
% 24.35/24.55 (^[X18: $i] : refl((arboreal(X18) | (~legal(X18))) <=> (arboreal(X18) | (~legal(X18))))),
% 24.35/24.55 inference(bind,[status(th)],[])).
% 24.35/24.55 tff(505,plain,
% 24.35/24.55 (![X18: $i] : (arboreal(X18) | (~legal(X18))) <=> ![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 24.35/24.55 inference(quant_intro,[status(thm)],[504])).
% 24.35/24.55 tff(506,plain,
% 24.35/24.55 (![X18: $i] : (arboreal(X18) | (~legal(X18))) <=> ![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 24.35/24.55 inference(rewrite,[status(thm)],[])).
% 24.35/24.55 tff(507,plain,
% 24.35/24.55 (^[X18: $i] : rewrite((legal(X18) => arboreal(X18)) <=> (arboreal(X18) | (~legal(X18))))),
% 24.35/24.55 inference(bind,[status(th)],[])).
% 24.35/24.55 tff(508,plain,
% 24.35/24.55 (![X18: $i] : (legal(X18) => arboreal(X18)) <=> ![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 24.35/24.55 inference(quant_intro,[status(thm)],[507])).
% 24.35/24.55 tff(509,axiom,(![X18: $i] : (legal(X18) => arboreal(X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_08')).
% 24.35/24.55 tff(510,plain,
% 24.35/24.55 (![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[509, 508])).
% 24.35/24.55 tff(511,plain,
% 24.35/24.55 (![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[510, 506])).
% 24.35/24.55 tff(512,plain,(
% 24.35/24.55 ![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 24.35/24.55 inference(skolemize,[status(sab)],[511])).
% 24.35/24.55 tff(513,plain,
% 24.35/24.55 (![X18: $i] : (arboreal(X18) | (~legal(X18)))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[512, 505])).
% 24.35/24.55 tff(514,plain,
% 24.35/24.55 (((~![X18: $i] : (arboreal(X18) | (~legal(X18)))) | (arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))) <=> ((~![X18: $i] : (arboreal(X18) | (~legal(X18)))) | arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.55 inference(rewrite,[status(thm)],[])).
% 24.35/24.55 tff(515,plain,
% 24.35/24.55 ((~![X18: $i] : (arboreal(X18) | (~legal(X18)))) | (arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))),
% 24.35/24.55 inference(quant_inst,[status(thm)],[])).
% 24.35/24.55 tff(516,plain,
% 24.35/24.55 ((~![X18: $i] : (arboreal(X18) | (~legal(X18)))) | arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~legal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))),
% 24.35/24.55 inference(modus_ponens,[status(thm)],[515, 514])).
% 24.35/24.55 tff(517,plain,
% 24.35/24.55 (arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.55 inference(unit_resolution,[status(thm)],[516, 513, 503])).
% 24.35/24.55 tff(518,plain,
% 24.35/24.55 (((~root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) | subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.55 inference(tautology,[status(thm)],[])).
% 24.35/24.55 tff(519,plain,
% 24.35/24.55 (subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.35/24.55 inference(unit_resolution,[status(thm)],[518, 471])).
% 24.35/24.55 tff(520,plain,
% 24.35/24.55 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.35/24.55 inference(rewrite,[status(thm)],[])).
% 24.35/24.55 tff(521,plain,
% 24.35/24.55 (((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) <=> ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.35/24.56 inference(rewrite,[status(thm)],[])).
% 24.35/24.56 tff(522,plain,
% 24.35/24.56 ((~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))) <=> (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.35/24.56 inference(rewrite,[status(thm)],[])).
% 24.35/24.56 tff(523,plain,
% 24.35/24.56 (((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) <=> ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.40/24.56 inference(monotonicity,[status(thm)],[522])).
% 24.40/24.56 tff(524,plain,
% 24.40/24.56 (((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) <=> ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.40/24.57 inference(transitivity,[status(thm)],[523, 521])).
% 24.40/24.57 tff(525,plain,
% 24.40/24.57 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))))),
% 24.40/24.57 inference(monotonicity,[status(thm)],[524])).
% 24.40/24.57 tff(526,plain,
% 24.40/24.57 (((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))) <=> ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.40/24.57 inference(transitivity,[status(thm)],[525, 520])).
% 24.40/24.57 tff(527,plain,
% 24.40/24.57 ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | ((~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))))),
% 24.40/24.58 inference(quant_inst,[status(thm)],[])).
% 24.40/24.58 tff(528,plain,
% 24.40/24.58 ((~![X161: $i, X162: $i] : ((~subactivity_occurrence(X161, X162)) | leaf_occ(X161, X162) | (~arboreal(X161)) | (~occurrence_of(X162, tptp0)) | (~((~occurrence_of(tptp_fun_X163_18(X162, X161), tptp3)) | (~next_subocc(X161, tptp_fun_X163_18(X162, X161), tptp0)) | (~occurrence_of(tptp_fun_X164_17(X162, X161), tptp4)) | (~next_subocc(tptp_fun_X163_18(X162, X161), tptp_fun_X164_17(X162, X161), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(X162, X161), tptp1) | occurrence_of(tptp_fun_X165_16(X162, X161), tptp2))) | (~next_subocc(tptp_fun_X164_17(X162, X161), tptp_fun_X165_16(X162, X161), tptp0)) | (~leaf_occ(tptp_fun_X165_16(X162, X161), X162)))))) | (~subactivity_occurrence(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp0)) | leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.40/24.58 inference(modus_ponens,[status(thm)],[527, 526])).
% 24.40/24.58 tff(529,plain,
% 24.40/24.58 (leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~arboreal(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.40/24.58 inference(unit_resolution,[status(thm)],[528, 139, 519, 280])).
% 24.40/24.58 tff(530,plain,
% 24.40/24.58 (leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~occurrence_of(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp3)) | (~next_subocc(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~occurrence_of(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp4)) | (~next_subocc(tptp_fun_X163_18(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~(occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp1) | occurrence_of(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp2))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp0)) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))),
% 24.40/24.58 inference(unit_resolution,[status(thm)],[529, 517])).
% 24.40/24.58 tff(531,plain,
% 24.40/24.58 (leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.40/24.58 inference(unit_resolution,[status(thm)],[530, 489])).
% 24.40/24.58 tff(532,plain,
% 24.40/24.58 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))),
% 24.40/24.58 inference(rewrite,[status(thm)],[])).
% 24.40/24.58 tff(533,plain,
% 24.40/24.58 ((atomic(tptp_fun_X3_0(X167!19)) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> (atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))),
% 24.40/24.58 inference(rewrite,[status(thm)],[])).
% 24.40/24.58 tff(534,plain,
% 24.40/24.58 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))))),
% 24.40/24.58 inference(monotonicity,[status(thm)],[533])).
% 24.40/24.58 tff(535,plain,
% 24.40/24.58 (((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))) <=> ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))))),
% 24.40/24.58 inference(transitivity,[status(thm)],[534, 532])).
% 24.40/24.58 tff(536,plain,
% 24.40/24.58 ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | (atomic(tptp_fun_X3_0(X167!19)) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))))),
% 24.40/24.58 inference(quant_inst,[status(thm)],[])).
% 24.40/24.58 tff(537,plain,
% 24.40/24.58 ((~![X109: $i, X110: $i, X111: $i, X112: $i] : (atomic(X112) | (X109 = X110) | (~occurrence_of(X111, X112)) | (~leaf_occ(X109, X111)) | (~leaf_occ(X110, X111)))) | atomic(tptp_fun_X3_0(X167!19)) | (~occurrence_of(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))) | (~leaf_occ(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (~leaf_occ(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))) | (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)))),
% 24.40/24.58 inference(modus_ponens,[status(thm)],[536, 535])).
% 24.40/24.58 tff(538,plain,
% 24.40/24.58 (tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)) = tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.40/24.58 inference(unit_resolution,[status(thm)],[537, 371, 358, 247, 315, 531])).
% 24.40/24.58 tff(539,plain,
% 24.40/24.58 (root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))) <=> root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19))),
% 24.40/24.58 inference(monotonicity,[status(thm)],[538, 328])).
% 24.40/24.58 tff(540,plain,
% 24.40/24.58 (root(tptp_fun_X78_11(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)), tptp_fun_X3_0(X167!19)) <=> root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.40/24.58 inference(symmetry,[status(thm)],[539])).
% 24.40/24.58 tff(541,plain,
% 24.40/24.58 (root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.40/24.58 inference(modus_ponens,[status(thm)],[473, 540])).
% 24.40/24.58 tff(542,plain,
% 24.40/24.58 (root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) <=> root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.40/24.59 inference(monotonicity,[status(thm)],[327])).
% 24.40/24.59 tff(543,plain,
% 24.40/24.59 ((~root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) <=> (~root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)))))),
% 24.40/24.59 inference(monotonicity,[status(thm)],[542])).
% 24.40/24.59 tff(544,plain,
% 24.40/24.59 ((~![X60: $i, X61: $i, X62: $i] : (~((~(next_subocc(X60, X61, X62) | (~min_precedes(X60, X61, X62)) | (~((~min_precedes(X60, tptp_fun_X63_7(X62, X61, X60), X62)) | (~min_precedes(tptp_fun_X63_7(X62, X61, X60), X61, X62)))))) | (~((~next_subocc(X60, X61, X62)) | (~((~min_precedes(X60, X61, X62)) | (~![X63: $i] : ((~min_precedes(X63, X61, X62)) | (~min_precedes(X60, X63, X62))))))))))) | (~((~(next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X63_7(tptp_fun_X3_0(X167!19), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(X167!19), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) | (~((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19)))))))))))),
% 24.40/24.59 inference(quant_inst,[status(thm)],[])).
% 24.40/24.59 tff(545,plain,
% 24.40/24.59 (~((~(next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X63_7(tptp_fun_X3_0(X167!19), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(X167!19), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) | (~((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19))))))))))),
% 24.40/24.59 inference(unit_resolution,[status(thm)],[544, 119])).
% 24.40/24.59 tff(546,plain,
% 24.40/24.59 (((~(next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X63_7(tptp_fun_X3_0(X167!19), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X63_7(tptp_fun_X3_0(X167!19), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))))) | (~((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19)))))))))) | ((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19))))))))),
% 24.40/24.59 inference(tautology,[status(thm)],[])).
% 24.40/24.59 tff(547,plain,
% 24.40/24.59 ((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19)))))))),
% 24.40/24.59 inference(unit_resolution,[status(thm)],[546, 545])).
% 24.40/24.59 tff(548,plain,
% 24.40/24.59 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)) <=> next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0)),
% 24.40/24.59 inference(monotonicity,[status(thm)],[98])).
% 24.40/24.59 tff(549,plain,
% 24.40/24.59 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp0) <=> next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.40/24.59 inference(symmetry,[status(thm)],[548])).
% 24.40/24.59 tff(550,plain,
% 24.40/24.59 (next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.40/24.59 inference(modus_ponens,[status(thm)],[383, 549])).
% 24.40/24.59 tff(551,plain,
% 24.40/24.59 ((~((~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19))))))))) | (~next_subocc(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19)))))))),
% 24.40/24.59 inference(tautology,[status(thm)],[])).
% 24.40/24.59 tff(552,plain,
% 24.40/24.59 (~((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19))))))),
% 24.40/24.59 inference(unit_resolution,[status(thm)],[551, 550, 547])).
% 24.40/24.59 tff(553,plain,
% 24.40/24.59 (((~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~![X63: $i] : ((~min_precedes(X63, tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), X63, tptp_fun_X3_0(X167!19)))))) | min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.40/24.59 inference(tautology,[status(thm)],[])).
% 24.40/24.59 tff(554,plain,
% 24.40/24.59 (min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.40/24.59 inference(unit_resolution,[status(thm)],[553, 552])).
% 24.40/24.59 tff(555,plain,
% 24.40/24.59 (((~![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))) | ((~root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))) <=> ((~![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))) | (~root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.40/24.60 inference(rewrite,[status(thm)],[])).
% 24.40/24.60 tff(556,plain,
% 24.40/24.60 ((~![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))) | ((~root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))))),
% 24.40/24.60 inference(quant_inst,[status(thm)],[])).
% 24.40/24.60 tff(557,plain,
% 24.40/24.60 ((~![X35: $i, X36: $i, X37: $i] : ((~root(X36, X37)) | (~min_precedes(X35, X36, X37)))) | (~root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))) | (~min_precedes(tptp_fun_X164_17(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)))),
% 24.40/24.60 inference(modus_ponens,[status(thm)],[556, 555])).
% 24.40/24.60 tff(558,plain,
% 24.40/24.60 (~root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19))),
% 24.40/24.60 inference(unit_resolution,[status(thm)],[557, 449, 554])).
% 24.40/24.60 tff(559,plain,
% 24.40/24.60 (~root(tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X104_14(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X165_16(tptp_fun_X72_9(tptp_fun_X164_17(X167!19, X166!20), tptp_fun_X34_4(tptp0, tptp_fun_X164_17(X167!19, X166!20)), tptp_fun_X3_0(X167!19)), tptp_fun_X164_17(X167!19, X166!20))))),
% 24.40/24.60 inference(modus_ponens,[status(thm)],[558, 543])).
% 24.40/24.60 tff(560,plain,
% 24.40/24.60 ($false),
% 24.40/24.60 inference(unit_resolution,[status(thm)],[559, 541])).
% 24.40/24.60 % SZS output end Proof
% 24.40/24.62 % E exiting
%------------------------------------------------------------------------------